   Chapter 4, Problem 10CQ

Chapter
Section
Textbook Problem

Analyze the motion of a rock dropped in water in terms of its speed and acceleration as it falls. Assume a resistive force is acting on the rock that increases as the velocity of the rock increases.

To determine
The motion of a rock dropped in water, in terms of its speed and acceleration.

Explanation

Speed is the rate of change of the distance travelled by the rock. Terminal velocity is the velocity at which the resistive force equals the weight of the body under free-fall.

The force of gravity and resistive forces are the two forces acting on the rock.

The formula for net force on the rock is,

Fnet=WFr

• W is the weight of the rock.
• Fr is the resistive force which is proportional to the velocity.

As the rock falls, the resistive force increases due to an increase in velocity. The maximum resistive force is when the velocity of the rock reaches terminal velocity

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