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I have put a 100-gram weight ball in a plastic bottle, and the weight of this bottle is 20 grams....

Question:

I have put a 100-gram weight ball in a plastic bottle, and the weight of this bottle is 20 grams. Now I shake this bottle, in the horizontal direction, towards 5 centimeters, back and forth, with the applying force of 1 newton. So what will be the kinetic energy of this ball?

Kinetic Energy:

Let us suppose a black-tailed deer of mass (m) is running on the field with a steady speed (v). In this situation, the kinetic energy of the black-tailed deer will be expressed as,

{eq}K = \frac{1}{2}mv^{2}. {/eq}

Answer and Explanation:

Given data:

  • Mass of the ball, {eq}m_{1} = 100 \ g = 0.100 \ kg {/eq}
  • Mass of the bottle, {eq}m_{2} = 20 \ g = 0.020 \ kg {/eq}
  • Distance traveled in either sides, {eq}d = 5 \ cm = 0.05 \ m {/eq}
  • Force, {eq}F = 1 \ \rm N {/eq}

As per the conservation law of energy, the kinetic energy of the ball would be equal to the net work done by the applied force.

Thus,

{eq}\begin{align*} K_{ball} &= F(2d)\\ K_{ball} &= 1.0 (2 \times 0.05)\\ K_{ball} &= 0.1 \ \rm J.\\ \end{align*} {/eq}


Learn more about this topic:

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Kinetic Energy: Examples & Definition

from General Studies Science: Help & Review

Chapter 4 / Lesson 14
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