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Mechanical Properties of Fluids

Buoyant force

A rock is thrown vertically upward with initial speed v_0. Ass

Question

Easy

Solving time: 2 mins

A rock is thrown vertically upward with initial speed $v_{0}$ . Assume a friction force proportional to $- v$ , where $v$ is the velocity of the rock and neglect the buoyant force exerted by air. Which of the following is correct?

The acceleration of the rock is always equal to

g

The acceleration of the rock is always equal to

g

only at the top of the flight

The acceleration of the rock is always less than

g

The speed of the rock upon return to its starting point is

v_{0}

The rock can attain a terminal speed greater than

v_{0}

before it returns to its starting point

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Henry Discussed

A rock is thrown vertically upward with initial speed

v_{0}

. Assume a friction force proportional to

- v

, where

v

is the velocity of the rock and neglect the buoyant force exerted by air. Which of the following is correct?

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

Acceleration of stone

= g + k v

when stone is going upward direction and

g - k v

(

k

is constant)when stone is coming down. So acceleration of the stone at top is equal to

g

v

at top is

0

.
Friction force always opposes the velocity so speed would not increase the terminal speed.

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Question Text	A rock is thrown vertically upward with initial speed $v_{0}$ . Assume a friction force proportional to $- v$ , where $v$ is the velocity of the rock and neglect the buoyant force exerted by air. Which of the following is correct?
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	50

A rock is thrown vertically upward with initial speed $v_{0}$ . Assume a friction force proportional to $- v$ , where $v$ is the velocity of the rock and neglect the buoyant force exerted by air. Which of the following is correct?

Text solutionVerified

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A rock is thrown vertically upward with initial speed $v_{0}$ . Assume a friction force proportional to $- v$ , where $v$ is the velocity of the rock and neglect the buoyant force exerted by air. Which of the following is correct?