Question

the energy that an item possesses due to its motion is called kinetic energy. the kinetic energy of an object (which is measured in joules) is directly proportional with the mass of the object and the square of its velocity. if the kinetic energy of a 3 kg ball traveling 12 m/s is 216 joules, how is the mass of a ball that generates 250 joules of energy when traveling at 10 m/s?

Answer 1

The mass of the ball that generates 250 joules of energy when traveling at 10 m/s is 5 kg.

Step-by-step explanation:

The kinetic energy of an object is given by the equation KE = 1/2mv², where KE is kinetic energy, m is mass, and v is velocity.

Using this equation, we can find the mass of a ball that generates 250 joules of energy when traveling at 10 m/s.

First, we rearrange the equation to solve for m: m = 2KE/v².

Substituting the given values, we have m = 2(250 J)/(10 m/s)².

Evaluating this equation, we find that the mass of the ball is 5 kg.

Therefore, the mass of the ball that generates 250 joules of energy when traveling at 10 m/s is 5 kg.