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A 8000kg engine pulls a train of 5 wagons, each of 2000kg, alo

Science

Class 9

NCERT

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Chapter 9: Force and Laws of Motion

29 questions

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

An automobile vehicle has a mass of

1500

kg. What must be the force between the vehicle and road if the vehicle is to be stopped with a negative acceleration of

1.7 m s^{- 2}

View all question

Chapter 10: Work and Energy

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Chapter 14: Improvement in Food Resources

Chapter 15: Gravitation

29 questions

Question

Easy

Solving time: 4 mins

A $8000$ 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 $2$

Views: 6,952 students

Updated on: Aug 2, 2023

Book:

Science (NCERT)

Found 3 tutors discussing this question

Benjamin Discussed

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

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

Given : Mass of engine

M = 8000

Mass of each wagon

m = 2000

Frictional force acting in backward direction

f = 5000

(a) : The net force acting on the train

F^{'} = F - f = 40000 - 5000 = 35000

(b) : Let the acceleration of the train be

a

∴

F^{'} = (5 m + M) a

35000 = (5 \times 2000 + 8000) a

⟹ a = 1.944

m s^{- 2}

(c) : External force is applied directly to wagon 1 only. The net force on the last four wagons is equal to the force applied by wagon 2 by wagon 1.

Let the acceleration of the wagons be

a^{'}

35000 = (5 m) a^{'}

⟹ 35000 = 10000 \times a^{'}

Acceleration of the wagons

a^{'} = 3.5

m s^{- 2}

Mass of last 4 wagons

m^{'} = 4 \times 2000

∴

Net force on last 4 wagons

F_{1} = 8000 \times 3.5

= 28000

Thus force on wagon 2 by wagon 1 is 28000 N.

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Practice more questions from Science (NCERT)

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

An automobile vehicle has a mass of

1500

kg. What must be the force between the vehicle and road if the vehicle is to be stopped with a negative acceleration of

1.7 m s^{- 2}

View all

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Question Text	A $8000$ 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 $2$
Updated On	Aug 2, 2023
Topic	Force and Laws of Motion
Subject	Science
Class	Class 9
Answer Type	Text solution:1 Video solution: 5
Upvotes	509
Avg. Video Duration	8 min

Text solutionVerified

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A 8000kg engine pulls a train of 5 wagons, each of 2000kg, along a horizontal track. If the engine exerts a force of 40000N and the track offers a friction force of 5000N, then calculate:(a) The net accelerating force(b) The acceleration of the train(c) The force of wagon 1 on wagon 2

Text solutionVerified

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