The world's fastest humans can reach speeds of about $11 \mathrm{m} / \mathrm{s} .$ In order to increase his gravitational potential energy by an amount equal to his kinetic energy at full speed, how high would such a sprinter need to climb?
Added by Joshua M.
Step 1
In this case, we don't know the mass of the sprinter, so let's call it m. The velocity is given as 11 m/s. So, the kinetic energy of the sprinter at full speed is KE = 1/2 m * (11 m/s)^2. Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 85 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
If a sprinter running at a speed of 10 meters per second could convert his/her kinetic energy into upward motion, how high could he/she jump?
Prabhat T.
The fastest that a human has run is about 12 m/s. (a) If a pole vaulter could run this fast and convert all of her kinetic energy into gravitational potential energy, how high would she go (in m)? m (b) Compare this height with the world record in the pole vault. (The world record in the pole vault for women is 5.06 m.)
Timothy J.
How high would a 50kg mountaineer have to climb to increase his gravitational potential energy by 12.3kJ?
Ajay S.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD