Find the constant force required to accelerate a mass of 5 kg from 3 ms - 1 to 7 m s - 1 in 8 s on a horizontal surface.

Given, Final velocity, v = 7 m s - 1 Initial velocity, u = 3 m s - 1 mass m = 5 kg From the equation of the motion v = u + a t here a is the acceleration of the body 7 = 3 + a × 8 a = 4 8 = 0 . 5 m s - 2 The force acting on the mass is F = m a F = 5 × 0 . 5 = 2 . 5 N

A strongman drags a stone ball from rest along a horizontal surface. He moves it 10 m in 4 s by exerting a constant force of 100 N . Find the mass of the stone ball.

The ball drags from rest, so the initial speed is zero. Covered distance, s = 10 m From the equation of motion acceleration of the ball can be calculated. s = u t + 1 2 a t 2 By putting values in the equation 10 = 0 + 1 2 a × 4 2 a = 1 . 25 m s - 2 The ball is dragged by a constant force 100 N . According to Newton's law of motion F = m a = 100 N ⇒ m = F a = 100 1 . 25 = 80 kg

HARD

AS and A Level

IMPORTANT

Earn 100

A snooker ball of mass $0.2 kg$ is struck so it starts moving at $1.2 m s^{- 1} .$ As it rolls, the table provides a constant resistance of $0.08 N .$ It strikes another ball $1 m$ away.

Find the speed with which it strikes the other ball.

Important Questions on Force and Motion in One Dimension

HARD

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2A>Q 6

Find the constant force required to accelerate a mass of

5 kg

from

3 {ms}^{- 1}

7 m s^{- 1}

8 s

on a horizontal surface.

HARD

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2A>Q 7

A ship of mass

20

tonnes is moving at

10 m s^{- 1}

when its engines stop and it decelerates in the water. It takes

500 m

to come to rest. Find the resistance force, which is assumed to be constant, of the water on the ship.

HARD

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2A>Q 8

A winch provides a constant force of

80 N

and causes a block to accelerate on horizontal land from

2 m s^{- 1}

10 m s^{- 1}

6 s .

Find the mass of the block.

HARD

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2A>Q 9

A Formula

1

car and its driver have total mass of

800 kg .

The driver is travelling at

100 m s^{- 1}

along a horizontal straight when,

100 m

before a bend, he starts to brake, slowing to

40 m s^{- 1} .

Assuming a constant braking force, find the force of the brakes on the car.

HARD

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2A>Q 10

A strongman drags a stone ball from rest along a horizontal surface. He moves it

10 m

4 s

by exerting a constant force of

100 N .

Find the mass of the stone ball.

HARD

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2A>Q 11

A car and driver, of total mass

1350 kg,

are moving at

30 {ms}^{- 1}

on a horizontal road when the driver sees roadworks

400 m

ahead. She brakes, decelerating with a constant force of

600 N

until arriving at the roadworks. Find the time elapsed before arriving at the roadworks.

HARD

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2A>Q 12

A train travelling at

30 m s^{- 1}

on a horizontal track starts decelerating

360 m

before coming to rest at a platform. The brakes provide a constant resistance of

100 kN .

Find the mass of the train.

HARD

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2A>Q 13

A block is being dragged along a horizontal surface by a constant horizontal force of size

45 N .

It covers

8 m

in the first

2 s

and

8.5 m

in the next

1 s .

Find the mass of the block.

A snooker ball of mass 0.2 kg is struck so it starts moving at 1.2 m s-1. As it rolls, the table provides a constant resistance of 0.08 N. It strikes another ball 1 m away. Find the speed with which it strikes the other ball.

Important Questions on Force and Motion in One Dimension

Learn and Prepare for any exam you want !

A snooker ball of mass $0.2 kg$ is struck so it starts moving at $1.2 m s^{- 1} .$ As it rolls, the table provides a constant resistance of $0.08 N .$ It strikes another ball $1 m$ away.

Find the speed with which it strikes the other ball.