Is it possible for two objects to have different speeds but the same kinetic energy?(1 point) Responses Yes, but the object with the greater speed must have the lower mass to have the same kinetic energy. Yes, but the object with the greater speed must have the lower mass to have the same kinetic energy. No. Kinetic energy depends only on speed, so a greater speed means a greater kinetic energy. No. Kinetic energy depends only on speed, so a greater speed means a greater kinetic energy. Yes, but the object with the greater speed must have the greater mass to have the same kinetic energy. Yes, but the object with the greater speed must have the greater mass to have the same kinetic energy. No. There are no combinations of different masses and speeds that would give the same kinetic energy.

Answer 1

Yes, it is possible for two objects to have different speeds but the same kinetic energy. The correct response is:

Yes, but the object with the greater speed must have the lower mass to have the same kinetic energy.

Kinetic energy is given by the formula \( KE = \frac{1}{2}mv^2 \), where \( m \) is mass and \( v \) is speed. If one object has a greater speed, its mass must be lower in order to balance out the kinetic energy to be the same as that of another object with a greater mass and lower speed.