Laws of Motion Test

Result

Laws of Motion Test - 24

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Question 1
1 / -0

$$Force\times time =$$________. Fill in the blank.

A
Acceleration

B
Impulse

C
Velocity

D
Momentum

Solution

Impulse acting on the body is defines as the product of force acting on the body and the time interval for which force has been applied.
$$\therefore$$ Impulse $$I = F\Delta t$$
Question 2
1 / -0

Column A Column B
a) Force i) $$f\times t$$
b) Momentum ii) $$m\times a$$
c) Impulse iii) $$m\times v$$

A
$$a - iii, b - ii, c - i$$

B
$$a - ii, b - iii, c - i$$

C
$$a - i, b - ii, c - iii$$

D
$$a - iii, b - i, c - ii$$

Solution

(a) From Newton's second law, Force $$f = m\times a$$
(b) Momentum $$P = m\times v$$
(c) Impulse $$I = f\times t$$
Question 3
1 / -0

A ride in an amusement park called scream machine swings the riders around a complete vertical circle during the course of the ride.
Identify where on ride rider feels the maximum speed?

A
Point A

B
Point B

C
Point C

D
Point D

E
Point E

Solution

At the lowermost position of the circular motion, the potential energy is zero and thus the kinetic energy of the rider is maximum at that position.
Using $$K.E = \dfrac{1}{2}mv^2 $$
Hence the rider feels maximum speed at the lowermost position of motion i.e point A.
Question 4
1 / -0

Two similar trucks are moving with the same velocity on the road. One is loaded and the other is empty. Which truck will require more force to be stopped?

A
Loaded truck

B
Empty truck

C
Both equal

D
Can't be predicted

Solution

Force required $$|F| = \dfrac{|\Delta P|}{\Delta t} = \dfrac{|m(0-u)|}{\Delta t} = \dfrac{mu}{\Delta t}$$
$$\implies$$ $$|F| \propto m$$ $$(\because u,\Delta t = constants)$$
As the loaded truck has more mass compared to the empty one, thus more force is required to stop the loaded truck.
Question 5
1 / -0

Which of the following quantities has equivalent units as Impulse?

A
Displacement

B
Velocity

C
Acceleration

D
Linear momentum

E
Kinetic energy

Solution

Impulse $$I= Fdt=m\frac{dv}{dt} dt=mdv=$$ change in linear momentum.
Thus, the linear momentum has equivalent units as Impulse.
Question 6
1 / -0

The amateur boxers, use larger and more padded gloves than professional boxers. The amateur boxers are more protected from injury because:

A
The larger glove exerts a larger impulse on the boxer

B
The larger glove exerts a larger force on the boxer

C
The larger glove exerts more energy on the boxer

D
The larger glove increases time of impact on the boxer

E
The larger glove increases the power exerted on the boxer

Solution

We have impulse $$\vec{I}=\vec{F}\times t=\vec{p}_{2}-\vec{p}_{1}$$
when a boxer hits another boxer , change in momentum remains constant therefore product of force and time should be constant .we can decrease the force by increasing time of impact so boxer uses larger gloves to increase the time of impact thus decreases the force and avoids from injury.
Question 7
1 / -0

$$Mass \times velocity$$ =

A
Impulse

B
Momentum

C
Area

D
Force

Solution

Momentum of the body is defined as the product of mass of the body and its velocity.
$$\therefore$$ Momentum $$\vec{P} = m\vec{v}$$
Question 8
1 / -0

"Every action has its equal and opposite reaction" is Newton's:

A
First law of motion

B
Second law of motion

C
Third law of motion

D
Fourth law of motion

Solution

Newton's third law of motion states that every action has an equal and opposite reaction. Force on a body 2 applied by the body 1 $$(F_{21})$$ is equal and opposite to the force on body 1 applied by the body 2 $$(F_{12})$$, i.e.
$$F_{21}=-F_{12}$$
Question 9
1 / -0

A force acts on a body of mass 3 kg such that its velocity changes from 4 m $$s^{-1}$$ to 10 m $$s^{-1}$$.Calculate the change in the momentum of the body.

A
2 kg m $$s^{-1}$$

B
14 kg m $$s^{-1}$$

C
18 kg m $$s^{-1}$$

D
42 kg m $$s^{-1}$$

Solution

A force acts on a body of mass 3 kg such that its velocity changes from 4 m/s to 10 m/s
change in momentum
$$\Delta p=m(v_1-v_2)=3*(10-4)=18kg m/s$$
Question 10
1 / -0

An astronaut in space throws an object away from his space shuttle. Which of the following statements is true?

A
The initial velocity of the astronaut is equal and opposite to the velocity of the tool.

B
The impulse applied to the astronaut is equal and opposite to the impulse applied to the tool.

C
The mass of the astronaut is equal to the mass of the tool.

D
The momentum of the astronaut is greater than the momentum of the tool.

E
The force applied to the tool is greater than the force applied to the astronaut.

Solution

From Newton's third law of motion, a reaction force acts on the astronaut equal in magnitude and opposite in direction to the force acted on the object.
Since they would take same amount of time to acts,
$$\int Fdt=\int Rdt$$
$$\implies I_1=I_2$$
Hence impulses on both are same in magnitude and opposite in direction.

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Column A	Column B
a) Force	i) $$f\times t$$
b) Momentum	ii) $$m\times a$$
c) Impulse	iii) $$m\times v$$

Laws of Motion Test - 24

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Laws of Motion Test - 24

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Question 1

Acceleration

Impulse

Velocity

Momentum

Solution

Question 2

$$a - iii, b - ii, c - i$$

$$a - ii, b - iii, c - i$$

$$a - i, b - ii, c - iii$$

$$a - iii, b - i, c - ii$$

Solution

Question 3

Point A

Point B

Point C

Point D

Point E

Solution

Question 4

Loaded truck

Empty truck

Both equal

Can't be predicted

Solution

Question 5

Displacement

Velocity

Acceleration

Linear momentum

Kinetic energy

Solution

Question 6

The larger glove exerts a larger impulse on the boxer

The larger glove exerts a larger force on the boxer

The larger glove exerts more energy on the boxer

The larger glove increases time of impact on the boxer

The larger glove increases the power exerted on the boxer

Solution

Question 7

Impulse

Momentum

Area

Force

Solution

Question 8

First law of motion

Second law of motion

Third law of motion

Fourth law of motion

Solution

Question 9

2 kg m $$s^{-1}$$

14 kg m $$s^{-1}$$

18 kg m $$s^{-1}$$

42 kg m $$s^{-1}$$

Solution

Question 10

The initial velocity of the astronaut is equal and opposite to the velocity of the tool.

The impulse applied to the astronaut is equal and opposite to the impulse applied to the tool.

The mass of the astronaut is equal to the mass of the tool.

The momentum of the astronaut is greater than the momentum of the tool.

The force applied to the tool is greater than the force applied to the astronaut.

Solution

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