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. The value of constant speed is (a) $\underline{g}$ (b) $\frac{b}{g}$ $b$ (c) $b g$ (d) $b$

Name: Problem 74, Chapter 3: Objective NCERT at your FINGERTIPS: Physics
Uploaded: 2021-09-25T12:28:56-08:00
Duration: 1 min 33 s
Channel: Akshaya Rs
Description: 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. The value of constant speed is (a) g (b) (b)/(g) b (c) b g (d) b

   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. The value of constant speed is
(a) $\underline{g}$
(b) $\frac{b}{g}$
$b$
(c) $b g$
(d) $b$

Objective NCERT at your FINGERTIPS: Physics

NCERT 11th Edition

Chapter 3, Problem 74

Instant Answer

Solved by Expert Akshaya Rs

09/25/2021

Step 1

Step 1: The given equation is $a=g-bv$, where $a$ is acceleration, $g$ is gravitational acceleration, $b$ is a constant, and $v$ is velocity. Show more…

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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. The value of constant speed is (a) $\underline{g}$ (b) $\frac{b}{g}$ $b$ (c) $b g$ (d) $b$

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Key Concepts

Terminal Velocity

Terminal velocity is the constant speed that an object eventually reaches when the net force on it is zero. This occurs when the force of gravity is exactly balanced by opposing forces such as resistive or drag forces, resulting in zero acceleration.

Drag Force

Drag force in fluids refers to the resistive force that opposes the motion of an object through a fluid. When modeled as proportional to the velocity, this force increases as the object's speed increases, eventually balancing the gravitational pull and leading to a constant terminal velocity.

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