Two objects, one of mass m and the other of mass 2 m , are dropped from the top

Question

Two objects, one of mass m and the other of mass 2m, are dropped from the top of a building. When they hit the ground

Two objects, one of mass m and the other of mass 2m, are dropped from the top of a building. When they hit the ground

the heavier one will have four times the kinetic energy of the lighter one. the heavier one will have twice the kinetic energy of the lighter one. the heavier one will have times the kinetic energy of the lighter one. both of them will have the same kinetic energy.

Explanation / Answer

the formula for kinemtic energy is

K= 1/2 * m v^2

when object has mass m , the kinetic energy is

K= 1/2 * m v^2

when object has mass m , the kinetic energy is

K'= 1/2 * 2m v^2 = mv^2

K'/K = mv^2/1/2 * m v^2

K' = 2 K

the heavier one will have twice the kinetic energy of the lighter one.

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