Answer:
17.4 N
Explanation:
According to Newton's second law, the net force acting on the box along the ramp is equal to the product of mass and acceleration:
[tex]F_{net}=ma[/tex]
If we want to move the box at constant velocity, this means acceleration equal to zero: a = 0, so the previous equation becomes:
[tex]F_{net}=0[/tex] (1)
Let's now understand what are the forces exerted on the box along the surface of the ramp:
- The pull (the applied force), let's call it F, which pulls up along the ramp. However, this pull is applied at an angle of 40 degrees, so the actual pull along the ramp will be [tex]F cos 40^{\circ}[/tex]
- The component of the weight parallel to the surface of the ramp, equal to
[tex]-mg sin \theta[/tex]
where (mg) = 49 N is the weight of the box and [tex]\theta=10^{\circ}[/tex] is the angle of the ramp. This force pulls down along the ramp, so we put a negative sign in front of it.
- The frictional force, equals to
[tex]-\mu mg cos \theta[/tex]
where [tex]\mu=0.1[/tex] is the coefficient of friction. This force pulls down along the ramp (in the opposite direction of the motion), so we put a negative sign as well
Therefore, the equation for the net force (1) becomes:
[tex]F cos 40^{\circ}-mg sin \theta -\mu mg cos \theta =0[/tex]
from which we can find the value of F:
[tex]F=\frac{mg sin \theta + \mu mg cos \theta}{cos 40^{\circ}}=\frac{(49 N)(sin 10^{\circ})+(0.1)(49 N)(cos 10^{\circ})}{cos 40^{\circ}}=17.4 N[/tex]
an 1150kg elevator moving down speeds up at a rate of 3.5m/s. what is the tension in the supporting cables?
Answer:
The tension force in the supporting cables is 7245N
Explanation:
There are two forces acting on the elevator: the force of gravity pointing down (+) with magnitude (elevator mass) x (gravitational acceleration), and the tension force of the cable pointing up (-) with an unknown magnitude F. The net force is the sum of these forces:
[tex]F_{net} = F_g - F = m\cdot g - F\\[/tex]
We are given the resulting acceleration along with the mass, i.e., we know the net force, allowing us to solve for F:
[tex]1150kg\cdot 3.5\frac{m}{s^2}= 1150kg \cdot 9.8\frac{m}{s^2}-F\\\implies F = 1150kg\cdot(9.8-3.5)\frac{m}{s^2}= 7245N[/tex]
The tension force F in the supporting cables is 7245N
If V = 10V, what value of R would limit I to 10mA? (If you have 10 volts, what resistance would be needed to limit the current to 10 milliamps)
Answer:
[tex]1000 \Omega[/tex]
Explanation:
The relationship between voltage, resistance and current in a circuit is given by Ohm's law:
[tex]V=RI[/tex]
where
V is the voltage
R is the resistance
I is the current
In this problem, we have:
V = 10 V
R = ?
I = 10 mA = 0.010 A
Therefore, we can re-arrange the equation to find R:
[tex]R=\frac{V}{I}=\frac{10 V}{0.010 A}=1000\Omega[/tex]
compare the mass of block A, the mass of block B is:
The mass of Block-B is DOUBLE the mass of Block-A. (choice-a)
The mass of Block-B is twice the mass of Block-A and the mass of products = mass of reactants. This question asks us about the law of conservation of mass. Thus, option A is correct.
What is law of Conservation of Mass?The law of conservation of mass states that matter can neither be created nor destroyed but can be transformed form one state or form to another. This is the basics of science which implies that whatever matter we have, it was created from something before it was converted into what we have at the moment.
However, this law does not hold nuclear reactions because they undergo changes in the core of the matter which can change the proton of that same matter or neutron from one element to another. This is to say that in nuclear reactions, matter can be created and it can also be destroyed.
Therefore, The answer to this problem is mass of products = mass of reactants and this question asks us about the law of conservation of mass. Thus, option A is correct.
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How long does it take a 1.51 × 10^4 W steam engine to do 8.72 × 10^6 J of work? Round your answer to three significant figures. 1.02 × 10^1 s 5.77 × 10^2 s 7.21 × 10^5 s 1.32 × 10^11 s
Answer:
5.77 × 10^2 s
Explanation:
Power is defined as the amount of work done divided by the tima taken to do that work:
[tex]P=\frac{W}{t}[/tex]
where W is the work done and t the time taken.
In this problem, we have:
- the power: [tex]P=1.51 \cdot 10^4 W[/tex]
- the work done: [tex]W=8.72 \cdot 10^6 J[/tex]
So we can re-arrange the previous equation to find the time taken:
[tex]t=\frac{W}{P}=\frac{8.72 \cdot 10^6 J}{1.51 \cdot 10^4 W}=5.77\cdot 10^2 s[/tex]
Answer:
B) 5.77 × 10^2 s
Explanation:
1. A merging traffic sign is an example of a _____ sign.
A merging traffic sign is an example of a warning sign in traffic control. It warns that two separate streams of traffic will be converging into one lane, helping to manage traffic flow and prevent accidents.
Explanation:A merging traffic sign is an example of a warning sign. Warning signs are important in traffic control as they signal upcoming hazards so that drivers can prepare and react accordingly. In the case of a merging traffic sign, it indicates that two separate streams of traffic will be converging into one lane.
Understanding this sign is vital to maintain road safety. Think of it like when many vehicles speed through an intersection without regard to the posted speed limit. A traffic signal is installed to manage the flow of vehicles and prevent possible accidents. That's the same concept with a merging traffic sign – it signals drivers to prepare for incoming vehicles from another lane and take appropriate action to prevent collisions.
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Plz help i need this is due in 45 mins ty
Figure 1
Speed is a scalar quantity, It has only magnitude but no direction. It is defined as rate of change of distance.
Mathematically, speed = distance÷time
S = d ÷ t
S = 2560 ÷ 60
S = 42.67 m/s.
Bits:
Speed is a scalar quantity, that describes only the magnitude (42.67 m/s) of the rate of change of an objects distance. Determine the objects speed requires a unit of distance per unit of time
Figure 2
Velocity is a vector quantity, It has both magnitude and direction. It is defined as rate of change of displacement.
Mathematically, Velocity = Displacement ÷ time
V = 75 ÷ 1.5
V = 50 Km/h.
Velocity is a Vector quantity that describes both the magnitude and direction of the rate of change of objects displacement plus it describes its position. An objects overall change in position is known as its Displacement per unit time.
The government has declared that a hurricane is likely to hit the East Coast. Which government division is part of ACF and provides guidance to citizens?
A.
Job Opportunities for Low-Income Individuals
B.
Office of Human Services Emergency Preparedness and Response
C.
Assets for Independence
D.
Low-Income Home Energy Assistance Program
The Answer is B) Office of Human Services Emergency Preparedness and Response
How does a mathematical model help you understand the science concepts? Give an example.
A mathematical model helps us understand science concepts by providing a simplified representation of complex phenomena.
Explanation:A mathematical model helps us understand science concepts by providing a simplified representation of complex phenomena. It allows us to analyze and predict the behavior of the real system without directly studying it. For example, the kinetic molecular theory of gases is a mathematical model that helps us understand the behavior of gases by describing them as collections of moving particles.
A car travels at 84 kilometers per hour for 7 hours. How far did it travel?
What is the force of friction between the dragsters tires and the track if the dragster mass is 300kg and the coefficient of the friction force is 0.8
The force of friction between the dragster's tires and the track is 2352 newtons, calculated using the formula F=μN with the given mass of 300kg and the coefficient of friction 0.8.
Explanation:The force of friction between the dragster's tires and the track can be calculated using the formula F=μN, where F is the frictional force, μ is the coefficient of friction, and N is the normal force. In this case, the normal force is equal to the weight of the dragster, which is the mass (m) times the acceleration due to gravity (g), N = mg. Given that the mass (m) is 300kg and the coefficient of friction (μ) is 0.8, the force of friction can be calculated as:
F = μ × mg = 0.8 × 300kg × 9.8m/s² = 2352N
Therefore, the force of friction is 2352 newtons (N).
If the bond enthalpy for a C-H bond is 413 kJ, what will happen when the C-H bond is broken?
Explanation:
Bond Enthalpy : It is defined as amount of energy required to break a the particular bond in there gaseous state. It is also known as bond energy. It units are kJ/mol.
Breaking of a bond is an Endothermic process (energy absorbed from the surroundings).Formation of bond is an Exothermic process (energy is released to the surroundings).If the average bond enthalpy for a C-H bond is 413 kJ/mol, When the C-H bond breaks in which energy will be required ,which will be an endothermic reaction.
A dog weighs 260 Newtons. What is her mass?
260 Newtons equals 26.51 Kg, or 58.44 lbs.
Hope this helps!
If a rock is dropped with a weight of 50kg and friction due to air resistance produces a force of 98N, what is the net force in the Y direction?
PLEASE HELP 11 POINTS
Answer:
The net force is 392N, pointing down.
Explanation:
The net force is the sum of all forces acting on the rock, namely the gravity ("+" acting downward) and the friction force due to air resistance ("-" acting upward):
[tex]F_{net} = F_g - F_{air}\\F_{net} = m\cdot g - F_{air} = 50kg\cdot 9.8\frac{m}{s^2}-98N= (490-98)N=392N[/tex]
The net force is 392N and pointing down (positive)/
In a heat engine, if 700 j of heat enters the system, and the piston does 400 j of work, what is the final internal energy of the system if the initial energy is 1,200 j?
A 1,100 J
B 300 J
C 1,500 J
D 900 J
Given that
Heat (Q) = 700 J ,
Work (W) = 400 J ,
What is the final internal energy of the system (u₂) = ?
given (u₁) = 1200 J
we know that ΔU = Q - W Joules,
(U₂ - 1100) = 700 - 400
U₂ = 300 +1100
= 1400 J
The final internal energy is 1400 J
If you throw a ball to your friend, the ball ____________.
a. exerts two forces against your hand
b. exerts a force against your hand
c. exerts a force in the same direction as the force from your hand
d. exerts no forces
Answer:
B
Explanation:
Which describes a train’s acceleration if it changes speed from 25 m/s to 10 m/s in 240 s? positive acceleration no acceleration negative acceleration
To understand acceleration, you need to know speed and velocity.
Why?
Acceleration is the change in velocity, and the velocity equation is:
velocity = distance / time Units: (m/s)
If a change in position means an object has a velocity, then that means that a change in velocity has an acceleration (I recommend you look at the graphs, it will help a lot to understand the relationship between each).
Now that we have some background, lets use it to answer the problem!
The change in velocity is from 25 m/s to 10 m/s, and we have a time. Lets plug it into the (average) acceleration equation so we can visualize it better!
The symbol delta means "change" : Δ
a = Δv / Δt
expanded to:
a = vf - vi / tf - ti
(vf = velocity final, vi = velocity initial, tf = time final, ti = time initial)
So if the train's speed went from 25 m/s to 10 m/s, then that means that 10 m/s is our final velocity and 25 m/s is the initial:
a = 10 - 25 / 240
a = -15 / 240
a = -0.0625 m/s^2
Since we ended up with a negative number, it means that the train has a negative acceleration!!!!!
The fast way to do this:
25 m/s is bigger than 10 m/s, so that means that to go from 25 m/s to 10 m/s you have to slow down--otherwise known as putting on your brakes. So if the change in speed is negative then the acceleration will be negative.
In other words, if your final speed is less than your initial speed then your acceleration would be negative.
Sorry for the long explanation! I hope you never struggle with this again though!
Hope it helped,
Answer: negative acceleration
Explanation:
a sphere with a mass of 12 g has a radius measuring 2 cm. what is its density
Formula for density is
D = mass/volume
So...
Answer: 0.3479 g/cm^3
hope this helps!
The density of the sphere is approximately 3.58×10⁶ g/m³ or 3.58g/cm³.
To calculate the density (ρ) of an object, you can use the formula:
ρ= 4/3 πr³
where m is the mass of the object and r is its radius.
In this case, the mass of the sphere is m=12g and the radius is r=2cm (r=0.02m in SI units).
Plugging in the values:
ρ= 12g / 4/3 π(0.02m)³
First, calculate the volume of the sphere:
Volume= 4/3 π(0.02m)³
Volume≈3.35×10⁻⁶ m³
Now, divide the mass by the volume to find the density:
ρ= 12g / 3.35×10⁻⁶m³
ρ≈3.58×10⁶ g/m³
Therefore, the density of the sphere is approximately 3.58×10⁶ g/m³ or 3.58g/cm³.
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A 100.-kilogram cart accelerates at 0.50 meter per second squared west as a horse exerts a force of 60. Newtons west on the cart. What is the magnitude of the force that the cart exerts on the horse?
Answer:
The magnitude of the force on the horse by the cart is 60 N.
Explanation:
Given that,
mass of cart = 100 kg
Acceleration of cart = 0.50 m/s²
Horse exerted force on a cart F= 60 N
The cart is moving by the force is defined as:
[tex]F' = ma[/tex]
[tex]F' = 100\times0.50[/tex]
[tex]F' = 50\ N[/tex]
The cart is moving by the 50 N force.
But according to newton's third law,
Newton's third law is action reaction law.
When we exerted the force on the object then the object exerted same force but opposite direction.
Therefore,
A horse exerted the force on the cart and the cart exerted equal but opposite force on horse.
F=-F''
F = -60 N
So, The magnitude of the force is 60 N
Hence, The magnitude of the force on the horse by the cart is 60 N.
What is the voltage in a circuit if the current is 6 Amps and resistance is 6 ohms
In physics, Ohm's law is used to calculate the voltage in a circuit. With the current of 6 Amps and the resistance of 6 ohms, the voltage would be 36 Volts.
Explanation:The subject matter of the question is related to a fundamental concept in Physics, called Ohm's law. Ohm's law states that the voltage (V) across a resistor is directly proportional to the current (I) through it, and the constant of proportionality is the resistance (R). It is represented by the formula V = I * R.
In your case, if the current (I) is 6 Amps and the resistance (R) is 6 ohms, using Ohm's law, the voltage (V) can be calculated as the product of current and resistance. Therefore, V = I* R = 6 Amps * 6 Ohms = 36 Volts.
So, the voltage in the circuit is 36 Volts.
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Длина лодки=6 метров человек, масса которого в 2 раза меньше массы лодки переходит с носа на карму определить, на какое расстояние переместилась лодка, если сопротивление воды пренебречь?
mv'=(M+m)v
v'=d/t
v=x/t
m'=M/2
Md/2t=(M+M/2)x/t
Md/2=3Mx/2
d=3x=>x=d/3=6/3=2 m
The boat and the person moving in opposite directions is a result of the principle of conservation of momentum. The man's mass being half of the boat means the boat will compensate for his movement to conserve the total momentum, shifting in the opposite direction. However, the exact distance can't be determined without more details due to factors like water resistance.
Explanation:In this case, we're dealing with a Physics problem. The topic is principle of conservation of momentum, which refers to the total momentum of an isolated system remaining constant if no external forces act on it.
As the total momentum of the system (boat and person) remains constant, the boat and the person move in such a way that their total momentum is preserved. The man's mass being half of the boat indicates that when the man moves to one end, the boat will shift by a certain distance in the opposite direction to conserve momentum.
However, as the resistance of water is neglected, we cannot calculate the exact distance the boat moves without more data. In real life, there are many factors like water resistance and the distributed mass of the boat that need to be accounted.
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Which type of cloud is tall and associated with thunderstorms
Cumulonimbus clouds will be your answer. They are both tall and associated with thunderstorms. Hope I helped!
An object moving at a constant speed in a circle is _____.
A. accelerating
B. changing its speed
C. not changing its velocity
D. not changing its direction
Please help me idek if this is physics
Answer:
A. accelerating
Explanation:
Acceleration is defined as the ratio between the change in velocity and the time taken for the velocity to change:
[tex]a=\frac{\Delta v}{\Delta t}[/tex]
We must note that the velocity is a vector - so it has both a magnitude (the speed) and a direction.
This means that a non-zero acceleration occurs when:
- the speed changes, or
- the direction changes, or
- both the speed and the direction change
For an object moving at constant speed in a circle, the direction changes, so the object is accelerating.
alex goes shopping . he buys 2 hats that hat cost the same price and a scarfthat cost $17. total he spent $35. how much did each hat cost
35-17=18
18/2=9
9+9+17=35
Each hat cost him 9 dollars.
The center on a high school basketball team wants to increase the maximum height of his jump. What statement correctly describes how he could achieve this goal?
Jumping with more acceleration
Answer:
Explanation:
D) Jumping with greater initial velocity would increase the height of his jump.
in a transfer of energy, there is no change in the energy's, what?
I think it is there is no change in the energy's sunlight
(50 POINTS) Set the ball and the barrier about two feet apart on the table. Grasp both ends of the ruler. Push the ball using the center of the ruler so the ball rolls, hits the barrier, and rebounds from it. Describe the motion of the ball as it moves.
Answer:
Kinetic energy
Explanation:
kinetic energy is the energy of motion. When something is moving it would be in motion so it would have kinetic energy.
Answer:
When an object, in your example, a ball, rolls (with rolling friction) bounces off of another surface, the force from the barrier is transferred into the ball causing it to roll back. (Newton’s third law)
Explanation:
The difference between an innate behavior and a learned behavior is that a learned behavior is __________ and an innate behavior is not.
A.
based on inborn responses
B.
instinctive
C.
based on reflexes
D.
a result of experience
Answer:
D. a result of experience
Explanation:
on edge
Which would BEST describes what occurs when a ball is thrown against a wall?
A) The ball will not bounce off the wall.
B) The ball hits the wall hard enough to bounce off of it.
C) The wall is stronger than the ball and neither exerts any forces.
D) The ball exerts a force on the wall and the wall exerts a force back.
When a ball is thrown against a wall, the ball exerts a force on the wall, and the wall exerts an equal force in the opposite direction back on the ball. (D)
Answer:
The ball exerts a force on the wall and the wall exerts a force back.
Explanation:
When a ball is thrown against a wall, the ball exerts a force on the wall and the wall exerts a force back. This is due to Newton's third law of motion. According to this law, every action have equal and opposite reaction and both action and reaction forces acts on different object.
In this case, when a ball is thrown against a wall, the wall exerts an equal force on the the ball but in opposite direction. It follows the newton's third law.
Hence, the correct option is (D).
clothes dryer uses about 3:00 amps of current from a 240-volt line how much power does it use
Electrical power is defined as
P = I * V
I = 3 amperes
V = 240 volts
Power = 3 * 240
Power = 720 Watts. Answer
A police car is parked by the side of a highway and it’s siren emits a sound measuring 750Hz. As you approach the police car from a distance, you hear a change in the sound. The change in the sounds
Answer:
The frequency of the sound increases
Explanation:
This phenomenon is known as Doppler effect, and it occurs when the observer is moving relative to the source of the sound (as in this case, sine you are moving towards the police car).
When you are moving towards the source of the sound, the frequency of the siren appears to increase, according to the formula:
[tex]f'=\frac{v+v_o}{v}f[/tex]
where
f' is the apparent frequency of the sound
v is the speed of the sound wave
[tex]v_o[/tex] is the speed of the observer relative to the source, and it is positive if the observer is approaching the source, or negative if the observer is moving away
f is the real frequency of the sound (in this case, 750 Hz)