If a cricket ball of mass 500g is thrown upwards from the ground with an initial velocity of 20 m/s, how high will the ball reach?

The best method of answering this question would be to look at the energy of the ball at the moment it is thrown and at the moment it reaches its highest point.
When the ball is thrown, initially all the energy is kinetic. We can calculate the ball's kinetic energy using KE = 0.5mv2  where m is the mass and v the velocity.
Using this equation we find:
KE = 0.50.5202 - the ball's mass must be in kg, hence 0.5 instead of 500
KE = 100J - remember units!
Now let's think about the ball at its highest point. At this moment, the ball will have stopped moving, and all its kinetic energy will have been converted into gravitational potential energy. This agrees with the law of conservation of energy.
Therefore the ball will have 100J of gravitational potential energy.
Using the equation for GPE, we can work out the height the ball has reached.
GPE = mgh where g is the gravitational acceleration on earth (roughly 10gms-2) and h is the height
100 = 0.510h
h = 20m

Answered by Thomas C. Physics tutor

10845 Views

See similar Physics GCSE tutors

Related Physics GCSE answers

All answers ▸

A student of mass m=50kg runs an experiment. He throws a ball of mass m = 400g from a height h = 20m. What will be the speed of the ball he records just before it touches the ground?


Explain what the terminal velocity of an object is.


How do you calculate the specific heat capacity of a substance?


Define the Specific Heat Capacity of a material. What is its unit?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences