Two objects,one of mass m and the other of mass 2m,are dropped from the top of a building.If there is no air resistance,when they hit the ground
A)both will have the same kinetic energy.
B)the heavier one will have twice the kinetic energy of the lighter one.
C)the heavier one will have four times the kinetic energy of the lighter one.
D)the heavier one will have half the kinetic energy of the lighter one.
E)the heavier one will have one-fourth the kinetic energy of the lighter one.

Question

Quizplus · Accepted Answer

The kinetic energy (KE) of an object is given by the formula KE = 1/2 mv^2, where m is the mass and v is the velocity. Since both objects are dropped from the same height, they will have the same velocity upon hitting the ground due to acceleration by gravity. Therefore, the kinetic energy of the heavier object (2m) will be twice that of the lighter object (m), because KE is directly proportional to mass when velocity is constant.

Two Objects,one of Mass M and the Other of Mass