An object falling through a fluid is observed to have acceleration given by - - - - - where - - gravitational acceleration and - is constant- After a long time of release- it is observed to fall with constant speed- What must be the value of constant speed-

Name: EXEMP - Grade 11 - Physics - Motion In a Straight Line - Q16
Uploaded: 2022-07-04T10:36:42+05:30
Description: Net acceleration of ball at any instant nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; 𝑎=𝑔−𝑏𝑣 When acceler ...

Net acceleration of ball at any instant nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; 𝑎=𝑔−𝑏𝑣 When acceler ...

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Byju's Answer

Standard IX

Physics

Viscous Force

An object fal...

Question

An object falling through a fluid is observed to have acceleration given by $a = g - b v$ where $g =$ gravitational acceleration and 𝑏 is constant. After a long time of release, it is observed to fall with constant speed. What must be the value of constant speed?

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Solution

Net acceleration of ball at any instant

$a = g - b v$

When acceleration becomes zero ball moves with constant speed in vertically downward direction.

$a_{n e t} = 0$

$g - b v = 0$

$v = \frac{g}{b}$

Final Answer: $v = \frac{g}{b}$

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Similar questions

Read each statement below carefully and state with reasons and examples, if it is true or false;
A particle in one-dimensional motion
a) with zero speed at an instant may have non-zero acceleration at that instant
b) with zero speed may have non-zero velocity,
c) with constant speed must have zero acceleration,
d) with positive value of acceleration must be speeding up.

Q. Read each statement below carefully and state with reasons and examples, if it is true or false:
A particle in one-dimensional motion
(a) with zero speed at an instant may have non-zero acceleration at that instant.
(b) with zero speed may have non-zero velocity.
(c) with constant speed must have zero acceleration.
(d) with positive value of acceleration must be speeding up.

Q. An object falling through a fluid is observed to have acceleration given by a = g - bv where g = gravitational acceleration and b is constant. After a long time of release, it is observed to fall with constant speed. The value of constant speed is:

Which of the following statement must always be true?

I.If an objects acceleration is zero, then its speed must remain constant.

II. If an objects acceleration is constant, then it must move in a straight line.

III. If an objects speed remains constant, then its acceleration must be zero.

Is it possible to have a constant speed, yet a non-zero acceleration? Is it possible to have constant acceleration and varying speed?

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Viscous Force

Standard IX Physics

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An object falling through a fluid is observed to have acceleration given by a=g–bv where g= gravitational acceleration and 𝑏 is constant. After a long time of release, it is observed to fall with constant speed. What must be the value of constant speed?

Net acceleration of ball at any instant a=g−bv When acceleration becomes zero ball moves with constant speed in vertically downward direction. anet=0 g−bv=0 v=gb Final Answer: v=gb

An object falling through a fluid is observed to have acceleration given by $a = g - b v$ where $g =$ gravitational acceleration and 𝑏 is constant. After a long time of release, it is observed to fall with constant speed. What must be the value of constant speed?

Net acceleration of ball at any instant

$a = g - b v$

When acceleration becomes zero ball moves with constant speed in vertically downward direction.

$a_{n e t} = 0$

$g - b v = 0$

$v = \frac{g}{b}$

Final Answer: $v = \frac{g}{b}$