Question

A student made the claim that a 4 gram paintball fired from a paintball gun at 90 m/s could have about the same kinetic energy as a 1 gram BB pellet fired from a BB gun at 180 m/s.
Do you agree or disagree with the student's claim? Use evidence and mathematical reasoning to support your response.

Answer 1

This question involves the concept of kinetic energy.

The student's claim is "right".

Kinetic Energy

The energy possessed by a body, by the virtue of its motion is called kinetic energy. Mathematically it is given by the following formula:

$K.E =\frac{1}{2}mv^2$

where,

• K.E = Kinetic energy
• m = mass
• v = velocity

Therefore,

For the paintball:

$K.E = \frac{1}{2}(4\ g)(90\ m/s)^2$

K.E = 16200 J

For the pellet:

$K.E = \frac{1}{2}(1\ g)(180\ m/s)^2$

K.E = 16200 J

Hence, both paintball and pellet will have same kinetic energy. The student is right.

Learn more about kinetic energy here:

brainly.com/question/12669551

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