a bicycle has a momentum of 12 kgm/s. What momentum would the bicycle have if it had: a) half the mass and twice the speed
b) the same mass and half the speed
c) three times the mass and half the speed
d) three times the mass and twice the speed

Answer:

with longer vectors

Explanation:

In any motion map of vectors we know that length of vectors is used to represent the magnitude

while the direction of the vector is represented by the angle made by the vector.

So here we have to represent the larger or greater velocity

This represents the magnitude of the vector to be more

so the correct answer would be

"with Longer vectors" we can show or represent velocity vector of greater velocity.

Answer: The correct answer is "amplitude".

Explanation:

The expression of the energy in terms of frequency is as follows;

E=hf

Here, h is Planck's constant, E is the energy and f is the frequency of the wave.

Here, the energy is directly proportional to the frequency of the wave. The energy of the wave is inversely proportional to the wavelength of the wave.

Amplitude is the maximum displacement of the particle from its equilibrium position in the vertical direction.

The amount of energy carried by a wave is directly proportional to the square of the amplitude. More the energy of the wave, more will be amplitude of the wave. Lesser the energy of the wave, lesser will be the amplitude of the wave.

Therefore, the correct option is (B).

To calculate the perimeter of the fence around the spa, you use the formula 2πr, substituting the spa's radius, 5/√2-1 feet, into the formula.

The radius of the spa is given as 5/√2-1 feet. To find the perimeter of the fence, which is the same as the circumference of the circular spa, you use the formula 2πr, where r is the radius of the circle.

Substitute the given radius into the formula:

Perimeter = 2π(5/√2-1)

Perform the multiplication to obtain the perimeter. This will give you the total length of the fence needed to surround the spa.

Answer:

The new volume of the gas is 2 m³

Explanation:

It is given that,

Initial temperature, [tex]T_1=5\ K[/tex]

Initial volume, [tex]V_1=1\ m^3[/tex]            

Final temperature, [tex]T_2=10\ K[/tex]

We need to find the new volume. The Charles law gives the relation between the temperature and the volume of the gas.    

i.e

[tex]V\propto T[/tex]

[tex]\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}[/tex]

[tex]V_2=\dfrac{V_1}{T_1}\times T_2[/tex]

[tex]V_2=\dfrac{1}{5}\times 10[/tex]

[tex]V_2=2\ m^3[/tex]

So, the new volume of the gas is 2 m³. Hence, this is the required solution.

Answer: Fossils range from simple to complex across rock layers.

Explanation:

The finding of the fossils in the different layers of the earth crust suggests that the evolution of the living organisms from simple primitive one to the most complex organisms. The examination and determination of the morphological, anatomical and molecular features of the organisms in the fossils have helped in determining the chronological age and has also been helped in determination of the age of earth with respect to the fossils.

Answer: The correct word for the blank is 'oscillates'

" a mechanical wave is created when a medium oscillates , or moves back and forth or up and down

Explanation:

When the matter oscillates or vibrates it transfers energy through the medium in the form of wave which termed s mechanical wave.For example: Sound wave,slinky waves, water waves are the examples of mechanical waves.

So, " a mechanical wave is created when a medium oscillates , or moves back and forth or up and down

Answer:

Metal : silver

Explanation:

It is given that,

Mass of the metal, m = 0.5 kg

Temperature, [tex]\Delta T=1\ ^0\ K[/tex]    

Heat, Q = 115 J

Heat absorbed is given by :

[tex]Q=mc\Delta T[/tex]

[tex]c=\dfrac{Q}{m\Delta T}[/tex]

Where,

c is the specific heat of the metal

[tex]c=\dfrac{115\ J}{0.5\times 1\ ^0K}[/tex]

[tex]c=230\ J/kg\ ^0K[/tex]

The metal having specific heat equals 230 J/kg °K is silver

Hence, this is the required solution.

Final answer:

Margret traveled 50 miles to her appointment. To determine this, an equation using the relationship between time, distance, and speed was solved, taking into account that her return trip took 1/4 hour longer due to heavy traffic.

Explanation:

To solve this problem, we need to set up an equation using the concept of time, distance, and speed. Let d represent the distance to the appointment. The time taken to get to the appointment is d/50 hours, and the time taken to come back is d/40 hours. We are given that the return trip took (1/4) hours longer, which can be written as:

d/40 = d/50 + 1/4

To find the distance d, we solve this equation. Clear the fractions by multiplying everything by a common denominator, which is 200 in this case, to get:

5d = 4d + 50

This simplifies to d = 50 miles. Therefore, the distance Margret traveled to her appointment was 50 miles.

This problem is a classic example of using algebra to solve for a variable in a scenario involving average speed, and it emphasizes understanding the relationship between speed, distance, and time.

Answer:

Force=35 N

Explanation:

Given data

mass m=10.0 kg

Gravitational field E=3.50 N/kg

To find

Force

Solution

From definition of gravitational field intensity.

[tex]E_{gravitational-field }=\frac{Force}{mass}\\ E=F/m\\F=mE\\F=(10.0 kg)*(3.50 N/kg)\\F=35N[/tex]

This question involves the concepts of the bouyant force, weight, and volume.

The area of the slab is "[tex]\frac{m}{h(\rho_w-\rho_s)}[/tex]".

In order for the styrofoam slab to float on the water, the buoyant force acting on it must be equal to its weight:

[tex]Weight = Buoyant\ Force\\(m+M)g=\rho_w Vg\\m+M=\rho_w V[/tex]

where,

m = mass of swimmer

A = area of styrofoam slab = ?

h = thickness of strrofoam slab

[tex]\rho_s[/tex] = density of styrofoam slab

[tex]\rho_w[/tex] = density of water

M = mass of styrofoam slab = [tex]Ah\rho_s[/tex]

V = volume of styrofoam slab = Ah

Therefore,

[tex]m+(Ah\rho_s) = Ah\rho_w\\m= Ah(\rho_w-\rho_s)\\\\A=\frac{m}{h(\rho_w-\rho_s)}[/tex]

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1200

Then; dn=k  

We can use the relationship to find the unknown, k:  

k = dn  

k = (24)(400) = 9600  

Then use k to find the unknown n:  

k= dn  

9600 = 8n  

n = 1200  

= 200 rpm

From the calculations and the data supplied, the braking distance is 65 m

The braking force is the force that is applied as the object comes to rest.

We know that the mass of the car is obtained from; 14,700 N/10 m/s^2 = 1470 Kg

Now;

a = F/m = 7100 N/1470 Kg

a = 4.8 m/s^2

Given that;

v^2 = u^2 - 2as

u^2 = 2as

s =  u^2/2a

s = (25)^2/2 * 4.8

s = 625/9.6

s = 65 m

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A substance that is made up of only one kind of atom is called an element.

Elements are pure substances that cannot be broken down into simpler substances by ordinary chemical or physical means. Each element is unique and consists entirely of one type of atom. For example, hydrogen, calcium, and iron are all elements, as they are each made up of only one type of atom.

The Periodic Table of the Elements lists all known elements, providing information about their atomic structure and properties. Many substances in the world are made up of combinations of different elements.

Answer:

Explanation:

The gravitation force of attraction between the two bodies is directly proportional tp the product of masses of two bodies and inversely proportional to the square of distance between them.

To determine the time a projectile remains in the air, calculate the initial vertical velocity using the sine of the launch angle and then apply kinematic equations to solve for time using the vertical displacement and acceleration due to gravity.

The student's question is related to the time a projectile remains in the air, which is a topic in Physics, specifically in kinematics. To find the time of flight for the projectile, we need to consider the vertical motion since the horizontal and vertical motions are independent.

Given that the initial speed of the ball is 16.0 m/s and it is thrown at a 60.0° angle, we can find the initial vertical velocity (Vy) using the sine function: Vy = 16.0 m/s * sin(60.0°).

The vertical displacement Δy for the ball when it hits the ground will be -2.00 m (negative since it's ending below the point of release). We will use the following kinematic equation for vertical displacement: Δy = Vy * t + 0.5 * g * t^2, where g is the acceleration due to gravity (-9.8 m/s^2, negative as it's directed downwards).

By substituting the known values and solving the quadratic equation for t (time), we can determine the total time the ball remains in the air.

The mechanical advantage of the system is 0.1.

When you are applying the input force, rope is pulled by 10m.

The power is 40 Watt.

Mechanical advantage is the ratio of power output to the power input.

M.A= 20 N / 200 N

M.A = 0.1

Thus, the mechanical advantage is 0.1.

The length of rope pulled = 1m / M.A

= 1/0.1

= 10m

Thus, when you are applying the input force, rope is pulled by 10m.

Work done by the force = force * distance traveled

W = 200N * 1m = 200 J

Power = Work done /time

P = 200 J/5s

P = 40 Watt

Thus, the power is 40 Watt.

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Final answer:

To lift a 200N box 1 meter with a MA of 10, you must pull the rope 10 meters. The mechanical advantage is calculated by dividing the output force by the input force. The power required to lift the box in 5 seconds is 40 Watts.

Explanation:

To calculate the mechanical advantage (MA) of the system, we divide the output force by the input force. In this case, the output force is 200 newtons, and the input force is 20 newtons. Therefore, the MA of the system is 200N / 20N = 10.

To find out how far you must pull the rope, we use the concept that work input equals work output, assuming negligible losses due to friction or inefficiency. Because the MA is 10, and to lift the load 1 meter, you have to pull the rope 10 meters. The distance you have to pull the rope is directly proportional to the MA when lifting a load using a pulley system.

The power of the system can be calculated by dividing the work done by the time taken. Work done is force times distance (Output force * height lifted = 200N * 1m = 200 Joules) and the time taken is 5 seconds. Power = Work/Time = 200J/5s = 40 Watts.

correct answer is a because that was the coreect answer on e2020

The energy transformation of a jet plane rapidly accelerating down a runway involves the conversion of chemical energy into kinetic energy and the potential decrease in potential energy. The engines also generate sound and heat energy.

The energy transformation of a jet plane rapidly accelerating down a runway involves multiple concepts in physics. Initially, the plane's engines convert chemical energy from fuel into kinetic energy as the plane moves forward. As the plane accelerates, the kinetic energy increases, while the potential energy decreases. Finally, the plane's engines also generate sound and heat energy as a byproduct of the combustion process.

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An electron is a negatively charged particle found outside the nucleus of an atom, responsible for the electrical properties and chemical behavior of atoms. Electrons orbit around the nucleus in specific energy levels or shells and carry electrical current.

An electron is a negatively charged particle that is found outside the nucleus of an atom. It is one of the fundamental particles that make up an atom and carries a unit negative charge.

Unlike protons that are found in the nucleus and carry a positive charge, electrons orbit around the nucleus in specific energy levels or shells. These negatively charged particles are responsible for the electrical properties and chemical behavior of atoms.

For example, in electrical circuits, when electrons flow through a conductor, they carry electrical current. However, it is important to note that despite being negatively charged, electrons do not carry positive charge like a proton.

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An electron is best characterized by the following description A. Negatively charged particle outside the nucleus of an atom.

To explain further, an electron is a subatomic particle with a negative charge that resides in the electron orbital, which is outside the nucleus of an atom. It carries the smallest unit of negative charge, denoted by a charge of -1.

Electrons are fundamental components of atoms and play a crucial role in chemical reactions and the flow of electricity.