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QUESTION: 1

The S.I. unit of force is

Solution:

Force is the product of the ass and acceleration.

Therefore, Force = Mass x Acceleration

The SI unit of Force is kg.m/s² or Newton

1 Newton = 10⁵ Dyne

QUESTION: 2

Two balls A and B, of masses m and 2m are in motion with velocities 2v and v respectively. Compare the force needed to stop them in the same time

Solution:
The acceleration produced in a body is directly proportional to the force acting on it and inversely proportional to the mass of the body. If the mass of the body is doubled, its acceleration will be halved. And if the mass is halved then acceleration will get doubled. So the provided force remains same.

QUESTION: 3

Find the time taken by a body of mass 16 kg to come to rest from a uniform velocity of magnitude 10 m/s, when a force of 4N is applied continously

Solution:

F = 4 N, u = 10 m / s , m = 16 kg

**v= u + at**

0 = 10 + (-1 /4) t

0= 10- 1 /4 t

**t = 40 s**

QUESTION: 4

If the force acting on the body is zero. Its momentum is:

Solution:

The relationship also implies the conservative of momentum : when the net force on the body is zero, the momentum of the body is constant. Any net force is equal to the rate of change of the momentum.

QUESTION: 5

Which of the following has the largest momentum?

Solution:
Because the momentum is the force created by the mass and velocity of a body for example if a table tennis ball hit you it will not hurt because it have lesser mass and lesser velocity and if a cricket ball hits you it will hurt because the cricket ball have more mass and velocity. so by this we can say that the pickup truck travelling down the highway will have greater momentum as it have more mass than any other and also it have more velocity than others as it is in higher speed. I hope you learned something

QUESTION: 6

What force can change the velocity of a body of mass 1kg from 20 m/s to 30m/s in 2 seconds?

Solution:

QUESTION: 7

Find the time for which a force of 1kgwt acts on a body of mass 1 kg moving with a uniform speed of 4m/s to stop the body.

Solution:

Stopping force is F = – 10 N.

Here, F = m[(v - u)/t]

t = 1 kg [(0 - 4m/s)/-10N]

= 1 kg [0.4 m/s]

So, t = 0.4 sec

QUESTION: 8

A resistive force of 16 N acts on a ball of mass 40 g continuously. If the initial velocity of the ball is 24 ms^{-1} ,the time taken by it to come to rest is:

Solution:

Mass of ball: m= 40 g = 0.040kg

resistive force: F = -16 N

thus resistive acceleration, a = F/m (because force, F= ma)

thus a = -400m/s2

initial velocity, u = 24m/s

final velocity, v = 0m/s

Thus according to first equation of motion, v = u+at (t=timetaken)

t= 0.06s

QUESTION: 9

The acceleration of an object is inversely proportional to:

Solution:

For the same force, an object with twice the mass will have half the acceleration. If it had three times the mass, the same force will produce one-third the acceleration. Four times the mass gives one-fourth of the acceleration, and so on.

This type of relationship between quantities (double one, get half the other) is called an inverse proportion or inverse variation. In other words, then:

**The acceleration is inversely proportional to the mass of the object.
Newton's Second Law**

"If the net force on an object is not zero, the object will accelerate. The direction of the acceleration is the same as the direction of the net force. The magnitude of the acceleration is directly proportional to the net force applied, and inversely proportional to the mass of the object."

QUESTION: 10

Quantitative expression of force is given by:

Solution:

Force can be calculated from Newton’s second law of motion which gives that force is the product of mass and acceleration.

QUESTION: 11

If the same force acts on two bodies of different masses which are initially at rest and gain same displacement, then the ratio of time for which these forces act is:

Solution:

QUESTION: 12

A man throws a ball weighing 200 g vertically upwards with a speed of 10m/s. Its momentum at the highest point of its flight will be:

Solution:
As on highest point velocity is zero .Hence momentum will also be zero as it is the product of mass and velocity of a body.

QUESTION: 13

In high jump competition the athlete is made to fall on a cushioned bed to:

Solution:

In a high jump athletic event, the athletes are made to fall either on a cushioned bed or sand bed. This is to increase the time that the athletes fall to stop after making the jump. This decreases the rate of change of momentum and hence the force. As a result, the athlete does not get injured.

QUESTION: 14

Which of the following is the relation between SI unit of gravitational force and Newton?

Solution:

In SI system, the gravitational unit of force is kilogram – weight. It is that force which when acting on a body of mass 1 kg produces an acceleration of 9.8 m s^-2

QUESTION: 15

A carpenter exerts a force of magnitude 1.5 N at right angles to the surface of a nail of mass 3 gram to drive it into the wood. If wood offers a resistive force of 0.6 N and the time of interaction of hammer and the nail 0.01 s, the depth through which the nail penetrates is

Solution:

QUESTION: 16

Change in momentum when a car weighing 700kg changes its speed from 100m/s to 200 m/s is:

Solution:

Change in momentum = mv - mu

When m = 7000kg, v= 200m/s, u = 100 m/s

Now, 700 * 200 - 700 x 100 = 140000 - 70000 = 70000 kg. m/s

QUESTION: 17

Momentum of a body of mass 0.5 kg moving with a speed of 10 m/s is

Solution:

We know , p=mv Here m=0.5 kg & v=10 m/s . So p=0.5*10=5 Kg m/s

QUESTION: 18

The relation between acceleration, mass and force is given by:

Solution:
The acceleration is directly proportional to f and inversely proportional to m and so the force applied on a mass of a body let to movement that's why here a is directly proportional to f

QUESTION: 19

What is the momentum of a body of mass 2m and velocity v/2?

Solution:

We know; P = mv

If m = 2 m ; v= v/2

P = (2m) (v/2)

P = mv

QUESTION: 20

An object of mass 20 kg is moving with a velocity of 10 m/s. Its momentum will be:

Solution:

Momentum p = mass x velocity

Given mass m=20 kg and velocity v = 10 m/s

So,

p = 20 kg x 10 m/s = 200 kg.m/s

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