Knowing that a force p of magnitude 50 kn is required to punch a hole of diameter d = 20 mm in an aluminum sheet of thickness t = 5 mm, determine the average shearing stress in the aluminum at failure.

Aparticle travels in a circular orbit of radius 21 m. its speed is changing at a rate of 23.1 m/s2 at an instant when its speed is 37.2 m/s. what is the magnitude of the acceleration (in m/s? ) of the particle?

How many molecules are present in 3 mols of silicon dioxide (sio2)?

Asap and show ! a 14 kg rock starting from rest free falls through a distance of 5.0 m with no air resistance. find the momentum change of the rock caused by its fall and the resulting change in the magnitude of earths velocity. earth mass is 6.0 * 10^24 kg. show your work assuming the rock earth system is closed.