Question

Two marbles, one twice as massive as theother, are dropped from the same height.When they strike the ground, how does thekinetic energy of the more massive marblecompare to that of the other marble?1.It has one-half the KE.2.It has twice the KE.correct3.It has 4 times the KE.4.It has the same KE

Answer 1

2.It has twice the KE

Step-by-step explanation:

Given that

m ₁ = 2 m₂

Height = h

For mass m ₁ :

By using energy conservation

m ₁ g h = KE₁

KE₁ = m ₁ g h

For mass m ₂ :

By using energy conservation

m ₂g h = KE₂

KE₂= m ₂ g h

m ₁ = 2 m₂

KE₁ = m ₁ g h

KE₁ =2 m₂ g h

KE₁ = 2 KE₂

The kinetic energy for the massive marble is twice the other one marble.

Therefore the answer will be 2.