A ball, of mass 0.1 kg, is dropped from a height of 12 m, What is its momentum when it stikes the ground, in kg m/s?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

You need to remember the formula of momentum such that:

`p = m*v`

You should use the kinematic equation that helps you to find the velocity such that:

`v^2 = v_0^2 + 2a*x`

Since the initial velocity is zero,the acceleration is g and h represents the height the ball is dropped, you need to substitute these values in the kinematic equation above such that:

`v^2 = 2g*h =gt v = sqrt(2gh)`

Substituting `sqrt(2gh)`  for v in equation of momentum yields:

`p = m*sqrt(2gh)`

`p = 0.1*sqrt(2*9.8*12) =gt p = 1.533 kg*m/s`

Hence, evaluating the momentum when the ball strikes the ground yields  `p = 1.533 kg*m/s` .

Approved by eNotes Editorial Team
Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial