how do kinetic energy,gravitational potential energy and heat due to friction change as the marble rolls down the ramp

Answers

Answer 1
kinetic energy (motion) increases as it rolls down the ramp because it accelerates and moves faster.

gravitational potential energy decreases as it rolls down because less energy is stored in the position of the ball and more is in is motion.

heat will increase because the ball rolling down the ramp is not 100% efficient. some friction is involved which generates heat.

Related Questions

What is the product of an object’s mass and velocity? momentum net force kinetic energy

Answers

Answer:

The correct answer option is momentum.

Explanation:

Momentum is the product of an object's mass and velocity.

It is a term which describes the relationship between the mass of an object and the velocity of an object.

Momentum can be represented in the form of an equation as:

P = mv

where P is the momentum,

m is the mass of the object; and v is the velocity of that object.

Final answer:

The product of an object's mass and its velocity is defined as its momentum in physics. Momentum is a measure of motion especially relevant in discussions about collisions.

Explanation:

In Physics, the product of an object's mass and its velocity is called its momentum. Momentum is a vector quantity meaning it has both direction and magnitude. It's often used in discussions about collisions. If an Object A with a mass of 1kg is moving at a velocity of 5 m/s, for instance, its momentum would be 5 kg*m/s. So simply put, momentum can be calculated by multiplying the object's mass by its velocity.

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an object with a mass of 20 kg has a net force of 80 Newtons acting on it what is the acceleration of the object

Answers

Force = mass × acceleration

We know that the force is 80 Newtons and our mass is 20 kilograms therefore by substituting those values in our equation we have:

[tex]F=ma\\\\a=\frac{F}{m}=\frac{80N}{20kg}=4m/s^2[/tex]

Therefore the acceleration is 4 m/s^2.

Final answer:

Using Newton's second law of motion, the acceleration of an object with a mass of 20 kg and a net force of 80 Newtons on it can be calculated by dividing the net force by the mass. Thus, the acceleration of the object is 4 m/s².

Explanation:

The question is asking for the acceleration of an object with a given mass and net force acting on it. According to Newton's second law of motion, the acceleration of an object is the net force acting on it divided by its mass. Thus, to find the acceleration, we use the formula F = ma, where F is the net force, m is the mass, and a is the acceleration.

For an object with a mass of 20 kg and a net force of 80 Newtons acting on it, we replace F with 80 N and m with 20 kg, and solve for a:

a = F/m = 80 N/20 kg = 4 m/s².

So, the acceleration of the object is 4 meters per second squared (4 m/s²).

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a block of stone measures 15cm x 15cm x 20 cm.What is the total surface area of the stone

Answers

This should help look at the pictures?

Bias Is a personal is very personal prefernce Or dislike of a particular idea based on personal beliefs instead of evidence

True

False

Answers

I would say the answer is true

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Sally walks 10 meters forward and then 5 meters backwards. Which statement most accurate describes the magnitude of her displacement and distance travelled? A) Sally's displacement is 5m less than her distance travelled. B) Sally's displacement is 10m less than her distance travelled. C) Sally's displacement is 5m greater than her distance travelled. D) Sally's displacement is 10m greater than her distance travelled. Free fall is a situation in which the only force acting upon an object is gravity. Why do all objects in free fall have the same acceleration? A) their masses are always the same B) acceleration due to gravity is always the same C) the distance between two objects is always the same D) the gravitational force between two objects are always the same

Answers

Displacement is a vector which means it has direction and can have positive or negative values. Distance is a scalar which means it has no direction and positive only.

Sally walks 10 meters forward and then 5 meters backwards. Forward is postive and backward is negative. Her displacement is +10+(-5) = +5m and her distance is 10+5=15m. So the answer is B) Sally's displacement is 10m less than her distance travelled.


Newton 2nd law states that force = ma.  In free fall, the only force is gravity force which is equal to mg where g is gravitational acceleration.  The acceleration is always the same because B) acceleration due to gravity is always the same.



Sally walks 10 meters forward and then 5 meters backwards.

forward + backward -

displacement= +10 -5 = +5

distance= 10 + 5 = 15

15-5=10m

so B) Sally's displacement is 10m less than her distance travelled.


Free fall is a situation in which the only force acting upon an object is gravity. force=massxacceleration n gravity force=massx gravity acceleration

so acceleration=gravity acceleration=constant.

ans is B) acceleration due to gravity is always the same

why quantity refractive index dooesn't have unit

Answers

refractive Index is a ratio of two similar physical quantity which is dimension less
refractive index = sin I / sin r

therefore it doesn't have a unit.

Refractive index is expressed as a ratio of speed of light in vacuum relative to the speed of considered medium. As it is a ratio and the units m/s or km/h cancel out each other. Therefore, the qauntity refractive index does not have any unit. I hope it will be helpful to you. Thank you

If a circuit has a voltage of 250 volts and a resistance of 25 ohms, what are the amps for the current in the circuit?

Answers

Final answer:

Using Ohm's law, which is I = V / R, for a circuit with 250 volts and 25 ohms, the current is calculated to be 10 amps.

Explanation:

If a circuit has a voltage of 250 volts and a resistance of 25 ohms, we can calculate the current in amps using Ohm's law, which states that I = V / R (where I is current, V is voltage, and R is resistance). In this case, the current I equals 250 volts divided by 25 ohms, which equals 10 amps. Therefore, the circuit would have a current of 10 amps flowing through it.

Final answer:

To calculate the current in the circuit, use Ohm's law: current (I) = voltage (V) divided by resistance (R). In this case, the current in the circuit is 10 amps.

Explanation:

To calculate the current in the circuit, you can use Ohm's law, which states that current (I) is equal to voltage (V) divided by resistance (R). In this case, the voltage is 250 volts and the resistance is 25 ohms. So, the current can be calculated as:

I = V/R = 250 V / 25 Ω = 10 amps

So, the current in the circuit is 10 amps.

Which of the following is a chemical reaction? A. breaking a glass pane B. freezing water C. digestion of food D. cutting down a tree E. evaporation of rubbing alcohol Reset

Answers

The answer to the question "Which of the following is a chemical reaction?" is C. digestion of food.

The question which asks, "Which of the following is a chemical reaction?" involves identifying which activities involve chemical changes where the identity of the substances involved changes. A chemical reaction involves breaking old chemical bonds and forming new ones, leading to the production of one or more new substances with different properties from the original substances.

Breaking a glass pane is a physical change.Freezing water is a physical change.Digestion of food is a chemical reaction because it involves enzymatic processes that break down food into simpler, absorbable compounds.Cutting down a tree is a physical change.Evaporation of rubbing alcohol is a physical change.

Therefore, the answer to the question is C. digestion of food, as it is the process that includes chemical reactions.

Your town is considering building a nuclear power plant. Describe at least two advantages and two disadvantages of this project. Based on these factors would you recommend that they continue with the project or consider other options?

Answers

Advantages:
1). It would provide power for the town so they would be more independent.
2). It would provide local employment.
Disadvantages:
1). It is possible for a meltdown to occur so the power plant could blow up.. (and other accidents to be considered too)
2). Radiation leaks or harmful gases released into the atmosphere.
3). They are expensive to build and maintain.

Answer:

Advantages : 1. Large demands of power supply are met easily by the nuclear power plants.

2. Unfavorable weather conditions do not effect its operation.

Disadvantages:

1. Disposal of nuclear waste will pose a serious problem locally for the town.

2. Establishment costs for a nuclear power plant are high compared to to thermal or hydro power plants.  

Explanation:

Nuclear fuel used in a nuclear power plant is called the fission material . It is a radioactive element like isotopes of Uranium. The heat generated by the nuclear power plant can be removed efficiently if the reactor is built in a place that has water resources. Cooling towers can also be used  to cool it. Operation costs are less compared to other types of power plants. If  the nuclear waste can be handled without causing any hazards to human life, the town can definitely support the project.

(25 Brainly Points.)

In what way does an earthquake provide evidence about the layers of Earth?

Answers

Because an earthquake happens when two of the atomic plates rub together .


Hopes this helps. PLZ MARK BRAINIEST

Which of the following is Not true about Mechanical Waves?
A they carry energy
B they transfer matter
C they can be longitudinal
D they require a medium

Answers

A mechanical wave is an oscillation of matter so they carry and transfer energy through a medium but they don't transfer matter themselves. They can be longitudinal or transverse. So Choice B is false.

The answer option which not true about mechanical waves is: B. they transfer matter.

A wave can be defined as a disturbance in a medium that progressively transports energy from its source to another location, without the transfer (transportation) of matter.

In Science (Physics), there are two main (2) types of wave and these are:

Electromagnetic wave: it is a wave that do not require a medium for its propagation and it can travel through a vacuum (empty space).Mechanical wave: it is a wave that requires a medium for its propagation.

Some of the properties or characteristics of mechanical waves include the following:

I. Mechanical waves generally carry energy.

II. Mechanical waves can be longitudinal in nature.

III. Mechanical waves require a medium of propagation.

IV. Mechanical waves do not transfer matter.

In conclusion, both electromagnetic and mechanical waves do not transfer matter at all.

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In order to walk barefoot on hot coals without hurting your feet

Answers

Before a person walks through burning coal, the person will make sure their feet are very wet. When they start walking on the coal, this moisture will evaporate and form a protective gas layer underneath the person's feet. You can see examples of this if you happen to drip some water on a hot stove or any very hot surface. The water will very easily glide around on top of a newly formed layer of air underneath it -- like air hockey pucks on an air hockey table. Note that when someone walks through burning coal, typically this is also done very quickly to prevent a great deal of exposure to possible harm. By walking quickly, thinking positively, and letting the water cushion you from immediate danger over a short distance, such a task is possible. You may have also heard of physics teachers demonstrating how this principle works by sticking their hand first in a bucket of water and then quickly in a bucket of boiling molten lead. In the lead, their hand is protected briefly by a layer of gas from the evaporated water (the water vapor). I'm fairly sure that there is a name for this particular layer of gas, but I'm afraid the name is beyond me at the moment. In other words, water vapor has a low heat capacity and poor thermal conduction. Very often, the coals or wood embers that are used in fire walking also have a low heat capacity. Sweat produced on the bottom of people's feet also helps form a protective water vapor. All of this together makes it possible, if moving quickly enough, to walk across hot coals without getting burned. WARNING: Do not attempt to perform any of the actions described above. You can seriously injure yourself. Answered by: Ted Pavlic, Electrical Engineering Undergrad Student, Ohio St.  (citing my source)

Final answer:

The sensation of feeling cold while walking barefoot on a tile floor after being on a carpet can be explained by the different rates of heat transfer. Conduction is the main mechanism at play, where heat is transferred through direct contact between objects. The tile floor conducts heat more effectively than the carpet, leading to a quicker loss of heat from the feet.

Explanation:

The sensation of feeling cold on the kitchen tile floor after walking barefoot across the living room carpet can be explained by different rates of heat transfer. Heat is transferred through three main mechanisms: conduction, convection, and radiation. In this case, conduction is the main mechanism at play.

Conduction is the transfer of heat through direct contact between objects. The rate of heat transfer through conduction depends on factors such as the temperature difference between the objects, the thermal conductivity of the objects, and the contact area between the objects.

In the given scenario, the tile floor conducts heat more effectively than the carpet, causing a quicker loss of heat from the feet in contact with it. This makes the sensation of cold more intense compared to the carpet.

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What change occurs to the mass of an object when an unbalanced force is applied to it?
A. The mass increases.
B. The mass decreases.
C. The mass remains the same.
D. The mass reduces to zero.
E. The mass changes by an indeterminate amount.

Answers

I would say C) is your answer

Answer:

The mass remains the same.

Explanation:

Unbalanced forces are the type of forces in which the system moves in a particular direction. There is some net force which acts on it.

When an unbalanced force applied to an object, the object will move in the direction where maximum force is applied. There is no effect of unbalanced force on the mass of an object. Also, the mass of an object remains same at each and every locations.

So, the correct option is (c) "The mass remains the same".

I Transformer I got primary coil with 300 turns and a secondary coil with 600 turns adult voltages 75 volts what is the input voltage

Answers

Formula

Primary Turns /Primary Voltage = Secondary Turns/Secondary Voltage

Givens

Primary Turns = 300Secondary Turns = 600Primary voltage = xSecondary Voltage = 75

Solution

300 / x = 600 / 75                   Cross multiply

600*x = 300 * 75                   Combine the right

600*x = 22500                      Divide by 300

x = 22500/600                      Do the division

x = 37.5                                   Answer


Answer:

We know that,

  The ratio between voltages in the coils is the same as the ratio of number of turns in the coil

Equation:  (Vp / Vs) = (Np / Ns)

Ns, Np = no.of turns on secondary and primary coils respectively

Vs, Vp = no.of turns on secondary and primary voltages respectively

                   (Vp / Vs) = (Np / Ns)

                   Vp / 75 = (300 / 600)

                       Vp = 37.5 Volts

input voltage is 37.5 volts.

Increasing the amount of current that flows through a wire ______ the strength of an electromagnet

Answers

Electromagnet is in form of solenoid

and the magnetic field due to solenoid is given as

[tex]B = \mu_0 n i[/tex]

here

i = current in the loop

so when we increase the current in electromagnet the magnetic field of the solenoid will increase

this will increase the strength of the electromagnet

so the answer would be

INCREASE

How many turns are in the secondary coil of a step up transformer that increases voltage from 30 V to 150 V and has seven turns in the primary coil?

Answers

To increase the voltage from 30 V to 150 V with seven turns in the primary coil of a step-up transformer, the secondary coil would need to have 35 turns.

The subject of the question is the calculation of the number of turns in the secondary coil of a step-up transformer which is used to increase the voltage from 30 V to 150 V. When working with transformers, we apply the transformer equation which relates the number of turns in the primary coil (Np) to the number of turns in the secondary coil (Ns), as well as the primary voltage (Vp) to the secondary voltage (Vs):

Vp / Vs = Np / Ns

Using the values provided in the question, we have 30 V for the primary voltage (Vp) and 150 V for the secondary voltage (Vs). Also, there are seven turns in the primary coil (Np). Plugging these values into the formula, we can solve for Ns (number of turns in the secondary coil):

30 V / 150 V = 7 turns / Ns

Cross multiply to find:

Ns = (150 V * 7 turns) / 30 V

Ns = 1050 turns / 30

Ns = 35 turns

Therefore, the secondary coil would need to have 35 turns to achieve the desired step-up in voltage.

Gravity is affected by the (2 points)

charge of the objects and whether the charges are the same or opposite.

force applied to the object when moving.

mass of the objects and the distance between two objects.

the size of the objects and the difference in charge.

Answers

Answer:

"mass of the objects and the distance between two objects."

Explanation:

The force of gravity is a function directly proportionate to the product of the two masses of the two objects under consideration, and indirectly proportionate to their squared distance.

[tex]F_g \,\,\,\mbox{proportional to}\,\,\, \frac{m_1\cdot m_2}{d^2}[/tex]

The relationship is made exact by inserting the gravitational constant G

[tex]F_g = G\cdot\frac{m_1\cdot m_2}{d^2}[/tex]

with a value that was measured by Cavendish in a clever experiment, back in the days.

Final answer:

Gravity is affected by the mass of the objects and the distance between them.

Explanation:

Gravity is affected by the mass of the objects and the distance between them. The force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. The charge of the objects and whether the charges are the same or opposite do not affect the gravitational force.

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How much power is required to lift a 70 kg bed to the top of a 4 meter flight of stairs in 12 seconds?

Answers

Given that:

mass (m) = 70 Kg ,

height (h) = 4 m = S ,

time (t) = 12 s,

Determine Power P = ?

                            P = rate of doing work = Work ÷  time    

                             Work = F × S         Joules                

                                       =  (70 × 9.81 ) × 4           since F = m.g

                                       =  2746.8 × 4

                                       =  10987.2  J

                                 Work  = 10.98 KJ

                        Now, Power = 10.98 ÷ 12

                                          P  =  0.915 KW  or 915 W

Answer:

Power, P = 228.67 Watts

Explanation:

It is given that,

Mass of bed, m = 70 kg

It is lifted to a top of 4 meter i.e. h = 4 m

Time taken, t = 12 seconds

We have to find the power required to lift the bed. The work done per unit time is called power. Mathematically, it is given by :

[tex]P=\dfrac{W}{t}[/tex]

[tex]P=\dfrac{mgh}{t}[/tex]

[tex]P=\dfrac{70\ kg\times 9.8\ m/s^2\times 4\ m}{12\ s}[/tex]

P = 228.67 watts

Hence, the power required to lift the bed is 228.67 Watts.

An airplane has a velocity of 907 km/hr westward relative to the air. If the air is moving eastward at 82 km/hr, what is the velocity of the airplane relative to the ground?
A.
989 km/hr eastward
B.
825 km/hr eastward
C.
989 km/hr westward
D.
825 km/hr westward

Answers

Answer:

D.  825 km/hr westward

Explanation:

In order to solve the problem, we should define a positive and a negative direction for the velocities.

Let's take positive (+) as westward and negative (-) as eastward.

1) Relative to the ground, the air is moving eastward at 82 km/h, so the air velocity is [tex]v'=-82 km/h[/tex]

2) Relative to the air, the airplane is moving westward at 907 km/h, so its velocity is [tex]v=+907 km/h[/tex]

In the reference system of the ground, the velocity of the airplane will be given by the velocity of the airplane in the reference system of the air (v) plus the velocity of the reference system of the air relative to the ground (v'):

[tex]V=v+v'[/tex]

Therefore, substituting:

[tex]V=907 km/h+(-82 km/h)=+825 km/h[/tex]

And the sign (+) means its direction is westward.

while racing on a flat track a car rounds a curve of 56m radius and instantaneously experiences a centripetal acceleration of 36 m/s how fast was the car going.
25m/s
45m/s
35m/s
2.0 x 10^3 m/s

Answers

45m/s should be the answer because the acceleration changes into's velocity and goes towards the centre in which  is 56/ms that equals v^2/R  the speed at the instant.


Hope this helped


Regards, ShaggySnaps

Answer:

I am pretty sure its 45 m / s

HELP WORTH 20 POINTS


1. What are the traditional states of matter, and what type of property is a matter’s state?



2. What are two parts of the atomic theory of atoms?



3. Explain in your own words what an atom and element are.



4. What is a scientific theory?




5. How does the state of plasma compare to the other states of matter?



6. What is plasma? Give a couple of examples of where to find plasma.




Answers

Explanation :  

1. Four types of traditional state of matter.

Solid state : in this state , the molecules of the matter  very close to each other that means molecules closely bound together. they are not capable to move. in solid, particles have very low kinetic energy. solid have definite shape.

Liquid state : In this state, the molecules of the matter are far away to each other. They are capable to move. in liquid , particles have more kinetic energy . liquid have  a definite volume.

Gases state : In this state, the molecules of the matter are not bound together that means the molecules are free to move . they have high kinetic energy .

gas has no definite volume and no definite shape.

Plasma state : Plasma consist of charged particle with high kinetic energy.

2. Two parts of the atomic theory of atoms.

(I). All matter is made of atom.

(II). Compounds are made by  the combination of two or more different type of atoms.

3. Element is a matter which is made by the atoms.

Example : hydrogen is made by one proton and one electron.

So, we can say that hydrogen is the element and one proton and one electron are the atoms.

4.  Scientific theory : Scientific theory is based on the real fact and logical system of science. this theory is experimentally proof.

Scientific theory is always true .

5. Plasma is the different state from the other state of matter.  Because plasma made by the group of positive and negative charge particle.

6. Plasma  : Plasma is the one state of the matter. it is consist of charged particles which have high kinetic energy .

Example : stars, lighting


In which of these mediums do particles of light travel the fastest?

a. a vacuum
b. glass
c. water
d. wood

Answers

light travels fastest through a vacuum which means "empty space, void"

Answer:

a). Vacuum

Explanation:

As we know that the refractive index of the medium is defined as

[tex]Refractive \: index = \frac{c}{v}[/tex]

here we know that

c = speed of light in vacuum

v = speed of light in medium

so here we know that

[tex] v = \frac{c}{\mu}[/tex]

so speed will be maximum for that medium for which value of refractive index is minimum

So here from all given options minimum refractive index is for vacuum

so correct answer will be

a). Vacuum

he calculation of kinetic energy uses the formula, KE = 1 2 mv2. Identify the unit that is required for mass and velocity, respectively, to determine the kinetic energy in Joules.

Answers

Mass is measured in kg
Velocity is measured in ms^-1
Hope this is what you were looking for

Explanation:The kinetic energy of a moving object is given by:

where m is the mass of the object and v is its speed. The ball in this problem has a mass of m=0.5 kg and a velocity of v=10 m/s, therefore if we plug these numbers into the formula, we find the kinetic energy of the ball:

A 50 Kg box sits at rest on a 30 degree ramp where the coef of static friction is 0.5773 what is the normal force on the box

Answers

Final answer:

The normal force on the box resting on an inclined plane with a specific angle and coefficient of static friction is is 425 N.

Explanation:

The normal force on the box can be calculated using the formula:

N = mg cos(θ)

where N is the normal force, m is the mass of the box, g is the acceleration due to gravity, and θ is the angle of the incline. Plugging in the values:

N = 50 kg * 9.8 m/s^2 * cos(30°) = 425 N

Therefore, the normal force on the box is 425 N.


Newton’s 3rd law of motion states that “every action has an equal and opposite reaction.” A golf ball was hit with a force of 200 N forward. Explain how this relates to Newton’s 3rd law of motion.

Answers

Answer:

Example of Newton's III law

In the, golf the ball was hit by a club with certain force. As the club hits the ball it's the action. When the ball flies away its the reaction. When a person swings a golf club at the ball, when it hits the ball, it causes the ball to roll up the face of the club and into the air towards the target.

the velocity of a car changes from 60 meters per second north to 45 meters per second north in 5.0 seconds. The magnitude of the car's acceleration is

Answers

Acceleration is slower, so it's going to be negative:

a=Δv/Δt=(v-v₀)/t=(60-45)/5.0=15/5.0=3 m/s²

Answer:

Acceleration of the car is 3 m/s^2

Explanation:

Given that,

Initial speed of the car, u = 60 m/s (towards north)

Final speed of the car, v = 45 m/s (towards north)

Time taken, t = 5 s

To find :

The magnitude of the acceleration of the car.

Solve :

Let a is the acceleration of the car. It is equal to the rate of change of velocity. Its formula is given by :

[tex]a=\dfrac{v-u}{t}[/tex]

[tex]a=\dfrac{(45-60)\ m/s}{5\ s}[/tex]

[tex]a=-3\ m/s^2[/tex]

[tex]|a|=3\ m/s^2[/tex]

Negative sign shows the car is decelerating.

Therefore, the magnitude of the car's acceleration is 3 m/s^2.

Which of these has a lower frequency than visible light?

A.gamma rays

B.ultraviolet rays

C.infrared rays

D.X-rays


plz hurry

Answers

Answer      C, infrared rays

Gamma rays, ultraviolet rays and X-rays are more energetic (Shorter wave lengths and higher frequencies) than visible light.

Infrared  rays, microwaves and radio waves are less energetic (Longer wave lengths, lower frequencies) than visible light.




Hope this information  is very helpful to you


A 12 kg sled is moving at a speed of 3.0m/s. At which of the following speeds will the sled have four times as much kinetic energy

Answers

Given that

m = 12 kg ,

speed (v) = 3 m/s  


kinetic energy ( KE) = 1/2 × m × v²   Joules

                                  = 1/2 × 12 × 3²

                                  = 54 J

If we have the options we can find the speed by keeping the speed in above formula. ( 54 ×  4 =216 J) for the speed of __________m/s

Final answer:

The kinetic energy of an object can be calculated using the formula KE = 0.5*m*v^2. If the speed of a 12 kg sled is quadrupled from 3.0 m/s to achieve four times the kinetic energy, the new speed would be approximately 6 m/s.

Explanation:

In this particular physics problem, the student is trying to understand the concept of kinetic energy. The kinetic energy of an object can be calculated with the formula KE = 0.5 * m * v^2, where m is the mass, and v is the speed. In the student's question, we know the mass (m) of the sled is 12kg and the speed (v) is 3.0m/s. The kinetic energy is, therefore, 0.5 * 12 kg * (3.0 m/s)^2 = 54 Joules.

If we want four times the kinetic energy (4 * 54 J = 216 J), we use the kinetic energy formula again and solve for v, resulting in √((2*216 J)/12 kg) roughly equals 6 m/s. Thus, the sled must be moving at approximately 6 m/s to have four times as much kinetic energy.

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What force is needed to keeps 20kg box moving at a constant velocity when the mk is 0.3021 and the force is a push at 20 degree to the ground

Answers

Answer:

63.0 N

Explanation:

According to Newton's second law, the resultant of the forces acting along the horizontal direction is equal to the product of mass and acceleration:

[tex]F_{net}=ma[/tex] (1)

The box is moving at constant velocity, so the acceleration is zero: a=0, and so the net force is also zero.

The net force consists of two forces:

- The horizontal component of the push, given by:

[tex]F_x = F cos \theta[/tex]

where [tex]\theta=20^{\circ}[/tex]

- The frictional force, acting in the opposite direction of the push:

[tex]F_f = \mu mg[/tex]

where [tex]\mu=0.3021[/tex] is the coefficient of friction, m=20 kg is the mass of the box and g=9.8 m/s^2.

Therefore, eq.(1) becomes

[tex]F_x - F_f =0\\F cos \theta - \mu mg =0[/tex]

From which we find the push, F:

[tex]F=\frac{\mu mg}{cos \theta}=\frac{(0.3021)(20 kg)(9.8 m/s^2)}{cos 20^{\circ}}=63.0 N[/tex]

Final answer:

To keep a 20kg box moving at a constant velocity, a force of 58.836 N is needed.

Explanation:

To keep a 20kg box moving at a constant velocity, we need to apply a force equal to the force of friction. The force of friction is calculated by multiplying the coefficient of friction (0.3021) by the normal force on the box. The normal force is equal to the weight of the box, which is 20kg multiplied by the acceleration due to gravity (9.8 m/s²). Therefore, the force of friction is (0.3021)(20kg)(9.8 m/s²) = 58.836 N.

Learn more about the force of friction here:

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In 1991 four English teenagers built an eletric car that could attain a speed of 30.0m/s. Suppose it takes 8.0s for this car to accelerate from 18.0m/s to 30.0m/s. What is the magnitude of the car's acceleration?

Answers

a=Δv/Δt=(30.0-18.0)/8.0=12.0/8.0=1.5 m/s²


Answer:

Acceleration of the car, [tex]a=1.5\ m/s^2[/tex]

Explanation:

It is given that,

Initial speed of the car, u = 18 m/s

Final speed of the car, v = 30 m/s

Time taken, t = 8 s

We need to find the acceleration of the car. Let it is given by a. It can be calculated using the first equation of motion.

[tex]v=u+at[/tex]

Where

a is the acceleration of the car.

[tex]a=\dfrac{v-u}{t}[/tex]

[tex]a=\dfrac{30-18}{8}[/tex]      

[tex]a=1.5\ m/s^2[/tex]

So, the magnitude of the car's acceleration is [tex]1.5\ m/s^2[/tex]. Hence, this is the required solution.                                          

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