Question

ball and b were both hit by the same bat with the same force. ball a accerlates 10 times faster than ball b this means a) Ball A is 1/10 as massive as Ball B b) Ball A is 1/100 as massive as Ball B

Answer 1

here both ball hit by same force ,

F_a = F_b

here force is defined as "change in momentum with respect to time"

initial both ball are not moving.so their velocity is zero.and that's why their initial momentum is zero.

here first we find final momentum of ball A ,

P_A = m_A V_A

final momentum of ball B .

P_B = m_B V_B

Both ball hit by bat with same force at same time ,

F_a = F_b

ΔP_A / t = ΔP_B / t

here contact of time is same for both ball with bat

ΔP_A = ΔP_B

m_A V_A = m_B V_B

but here in question , ball A accelerates 10 times faster than ball B

it means , V_A = 10 V_B ,

m_A V_A = m_B V_B

m_A x 10 V_B = m_B V_B { here we put V_A = 10 V_B }

10 m_A = m_B

m_A = m_B / 10

  it means we can says that ball A is 1/10 massive then ball B

answer is option-A = ball A is 1/10 massive then ball B