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

TC
Answered by Thomas C. Physics tutor

12038 Views

See similar Physics GCSE tutors

Related Physics GCSE answers

All answers ▸

Why do astronauts feel weightless while in orbit?


An elastic wire suspended from a workbench has a 2kg mass attached to its free end. The wire changes in length by 2cm. Calculate the elastic potential energy stored in the wire.


If Hannah slows down from a speed of 12 m/s to 8 m/s and has a mass of 45kg, how much force has been exerted on her to cause this deceleration?


Explain the difference between energy and power.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences