Calculate the gravitational potential energy of a 95 kg rock at the top of a 45 m cliff. The acceleration due to gravity is 9.8 m/s.

What is the length x of the side of the triangle below? (hint: use the cosine function)

Awave is produced in a rope. the wave has a speed of 33 m/s and a frequency of 22 hz.

Estimate the schwarzschild radius (in kilometers) for a mini-black hole formed when a superadvanced civilization decides to punish you (unfairly) by squeezing you until you become so small that you disappear inside your own event horizon. (assume that the your weight is 50 kg)