A 1-kg ball is released from a height of 6m, and a 2-kg ball is released from a

Question

A 1-kg ball is released from a height of 6m, and a 2-kg ball is released from a height of 3 m. Air resistance is negligible as they fall. Which of the following statements about these balls are correct?

A) Both balls will reach the ground with the same kinetic energy.

B)Both balls will reach the ground with the same speed.

C)As they reach the ground, the 1-kg ball will be moving faster than the 2-kg ball.

DAs they reach the ground, the 1-kg ball will have more kinetic energy than the 2-kg ball because it was dropped from a greater height.

E)Both balls will take the same time to reach the ground.

Explanation / Answer

here,

mass of ball 1, m1 = 1 kg
height for ball 1, h1 = 6 m

mass of ball 2, m2 = 2 kg
height for ball 2, h2 = 3 m

From conservation of energy :
potwntial energy = kinetic energy
mgh = 0.5*m*v^2

velocity, v = sqrt(2*g*h)

For ball 1 :
v1 = sqrt(2*9.81*6)
v1 = 10.85 m/s

for ball 2 :
v2 = sqrt(2*g*h2)
v2 = sqrt(2*9.81*3)
v2 = 7.672 m/s

Since ball 1 has higher velocity than ball 2 when it reach to the ground.

Option C is correct.
Option D is correct.

Rest are incorrects

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