The kinetic energy, K, of an object varies jointly with the mass of the object and the square of the velocity of the object. A 50-kg object moving at a velocity of 20 meters per second has 10,000 joules of kinetic energy. How many joules of kinetic energy does a 25-kg object moving at a velocity of 10 meters per second have?

The variation equation best expressed the given is,

KE = kmv²

where KE is kinetic energy, m is mass, and v is the velocity of the moving object

Substituting the first set of values to determine the value of k, the variation constant.

10,000 = k (50) (20 m/s) ²

The value of k is equal to 0.5.

For the second set of data.

KE = 0.5 (25 kg) (10 m/s) ²

KE = 1250 Joules

B.) 1,250 joules I just took the test and i go this one right as well