Chapter SH, Problem 4.10APP

To determine

To calculate: Mass of the object.

Answer to Problem 4.10APP

Mass of the object is $\underset{\_}{12\text{ kg}}$ .

Explanation of Solution

Given:

Kinetic energy = $600\text{ J}$

Velocity = $\text{10 m/s}$

Formula used:

Kinetic energy is given by,

  $KE=\frac{1}{2}m{v}^2$

where m is mass and v is velocity.

Calculation:

Mass is calculated as:

  $\begin{array}{l}KE=\frac{1}{2}m{v}^2\\ m=\frac{2KE}{v^2}\\ m=\frac{2\left(600\text{ J}\right)}{{\left(10\text{ m/s}\right)}^2}\\ m=\frac{1200\text{ J}}{100{\text{ m}}^2/{\text{s}}^{\text{2}}}\\ m=12\text{ kg}\end{array}$

Conclusion:

Mass of the object is $\underset{\_}{12\text{ kg}}$ .