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A ball is thrown vertically upwards with a velocity of 49 m/s.

Science

Class 9

NCERT

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Chapter 15: Gravitation

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Gravitational force on the surface of the moon is only

\frac{1}{6}

as strong as gravitational force on the earth. What is the weight in newtons of a

10 k g

object on the moon and on the earth?

A ball is thrown vertically upwards with a velocity of

49 m / s

. Calculate

(i)

The maximum height to which it rises.

(ii)

The total time it takes to return to the surface of the earth.

A stone is released from the top of a tower of height

19.6

m. Calculate its final velocity just before touching the ground.

View all question

Question

Easy

Solving time: 4 mins

A ball is thrown vertically upwards with a velocity of $49 m / s$ . Calculate
$(i)$ The maximum height to which it rises.
$(ii)$ The total time it takes to return to the surface of the earth.

Views: 5,998 students

Updated on: Sep 19, 2023

Book:

Science (NCERT)

Found 3 tutors discussing this question

Jack Discussed

A ball is thrown vertically upwards with a velocity of

49 m / s

. Calculate

(i)

The maximum height to which it rises.

(ii)

The total time it takes to return to the surface of the earth.

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

Given Initial velocity of ball,

u = 49

m / s

Let the maximum height reached and time taken to reach that height be

H

and

t

respectively.

Assumption:

g = 9.8 m / s^{2}

holds true (maximum height reached is small compared to the radius of earth)

Velocity of the ball at maximum height is zero,

v = 0

v^{2} - u^{2} = 2 a H

0 - (49)^{2} = 2 \times (- 9.8) \times H

⟹ H = 122.5 m

v = u + a t

0 = 49 - 9.8 t

⟹ t = 5

∴

Total time taken by ball to return to the surface,

T = 2 t = 10 s

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Practice more questions from Science (NCERT)

Gravitational force on the surface of the moon is only

\frac{1}{6}

as strong as gravitational force on the earth. What is the weight in newtons of a

10 k g

object on the moon and on the earth?

A ball is thrown vertically upwards with a velocity of

49 m / s

. Calculate

(i)

The maximum height to which it rises.

(ii)

The total time it takes to return to the surface of the earth.

A stone is released from the top of a tower of height

19.6

m. Calculate its final velocity just before touching the ground.

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Question Text	A ball is thrown vertically upwards with a velocity of $49 m / s$ . Calculate $(i)$ The maximum height to which it rises. $(ii)$ The total time it takes to return to the surface of the earth.
Updated On	Sep 19, 2023
Topic	Gravitation
Subject	Science
Class	Class 9
Answer Type	Text solution:1 Video solution: 15
Upvotes	1385
Avg. Video Duration	7 min

A ball is thrown vertically upwards with a velocity of $49 m / s$ . Calculate
$(i)$ The maximum height to which it rises.
$(ii)$ The total time it takes to return to the surface of the earth.

Text solutionVerified

Filo tutor solutions (15)

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A ball is thrown vertically upwards with a velocity of 49 m/s. Calculate(i) The maximum height to which it rises.(ii) The total time it takes to return to the surface of the earth.

Text solutionVerified

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A ball is thrown vertically upwards with a velocity of $49 m / s$ . Calculate
$(i)$ The maximum height to which it rises.
$(ii)$ The total time it takes to return to the surface of the earth.