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A stone of 1kg is thrown with a velocity of 20m s^{-1} across

Science

Class 9

NCERT

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Chapter 9: Force and Laws of Motion

29 questions

A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of

400

m in

20

s. Find the acceleration. Find the force acting on it if its mass is

7

tonnes. (Hint: 1 tonne = 1000 kg.)

A stone of

1

kg is thrown with a velocity of

20

s^{- 1}

across the frozen surface of a lake and comes to rest after travelling a distance of

50

m. What is the force of friction between the stone and the ice?

8000

kg engine pulls a train of

5

wagons, each of

2000

kg, along a horizontal track. If the engine exerts a force of

40000

N and the track offers a friction force of

5000

N, then calculate:

(a)

The net accelerating force

(b)

The acceleration of the train

(c)

The force of wagon

1

on wagon

2

View all question

Chapter 10: Work and Energy

23 questions

Chapter 11: Sound

25 questions

Chapter 12: Why do We Fall Ill?

6 questions

Chapter 13: Natural Resourses

6 questions

Chapter 14: Improvement in Food Resources

Chapter 15: Gravitation

29 questions

Question

Easy

Solving time: 3 mins

A stone of $1$ kg is thrown with a velocity of $20$ m $s^{- 1}$ across the frozen surface of a lake and comes to rest after travelling a distance of $50$ m. What is the force of friction between the stone and the ice?

Views: 6,528 students

Updated on: Dec 7, 2023

Book:

Science (NCERT)

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Alexander Discussed

A stone of

1

kg is thrown with a velocity of

20

s^{- 1}

across the frozen surface of a lake and comes to rest after travelling a distance of

50

m. What is the force of friction between the stone and the ice?

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

Before we proceed we have to make a free body diagram of the stone-ice system. In the figure, we are seeing that frictional force is acting in leftward while the stone in moving rightward direction. One thing we have to fix in our d that frictional force will always act opposite to the direction of motion of the body.

Now on resolving the forces,

f - ma

f = ma

------(1)

also form the equation of motion

v^{2} = u^{2} + 2 a s

, here final velocity is zero,so

v = 0

u^{2} = - 2 a s

a = \frac{- u ^{2}}{2 s} = - \frac{2 0 ^{2}}{2 \times 50} = - 4 \frac{m}{se c ^{2}}

on substituting the given data in equation(1)

f = 1 \times (- 4) = - 4 N

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Practice more questions from Science (NCERT)

A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of

400

m in

20

s. Find the acceleration. Find the force acting on it if its mass is

7

tonnes. (Hint: 1 tonne = 1000 kg.)

A stone of

1

kg is thrown with a velocity of

20

s^{- 1}

across the frozen surface of a lake and comes to rest after travelling a distance of

50

m. What is the force of friction between the stone and the ice?

8000

kg engine pulls a train of

5

wagons, each of

2000

kg, along a horizontal track. If the engine exerts a force of

40000

N and the track offers a friction force of

5000

N, then calculate:

(a)

The net accelerating force

(b)

The acceleration of the train

(c)

The force of wagon

1

on wagon

2

View all

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Question Text	A stone of $1$ kg is thrown with a velocity of $20$ m $s^{- 1}$ across the frozen surface of a lake and comes to rest after travelling a distance of $50$ m. What is the force of friction between the stone and the ice?
Updated On	Dec 7, 2023
Topic	Force and Laws of Motion
Subject	Science
Class	Class 9
Answer Type	Text solution:1 Video solution: 17
Upvotes	1649
Avg. Video Duration	6 min

A stone of $1$ kg is thrown with a velocity of $20$ m $s^{- 1}$ across the frozen surface of a lake and comes to rest after travelling a distance of $50$ m. What is the force of friction between the stone and the ice?

Text solutionVerified

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A stone of 1kg is thrown with a velocity of 20m s−1 across the frozen surface of a lake and comes to rest after travelling a distance of 50m. What is the force of friction between the stone and the ice?

Text solutionVerified

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A stone of $1$ kg is thrown with a velocity of $20$ m $s^{- 1}$ across the frozen surface of a lake and comes to rest after travelling a distance of $50$ m. What is the force of friction between the stone and the ice?