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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)

Found 8 tutors discussing this question

Samuel 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?

9 mins ago

Discuss this question LIVE

9 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?