A block of ice with mass = [m] kg is released from rest at the top of a ramp of length

A mass = [m] kg is tied to a rope that is wrapped around a pulley and connected to a spring with spring constant = [k] N/m. The rope and pulley are essentially massless and frictionless. At the initial position of the system (illustrated by top block), the spring is at equilibrium length. When the block has dropped a distance , the system is again at rest. What is the value of ? Please give your answer in units of m.

If you were stacking credit cards (just laying them flat, no crazy house of cards), how many cards would be needed to stack from floor to ceiling in a typical room?

A mass = [m] kg is tied to a rope that is wrapped around a pulley and connected to a spring with spring constant . The rope and pulley are essentially massless and frictionless. At the initial position of the system (illustrated by top block), the spring is at equilibrium length. When the block has dropped a distance = [d] m, the system is again at rest. What is the value of the spring constant ? Please give your answer in units of N/m.

In this system, the rope and pulley have negligible mass and the pulley is frictionless but there is friction between and the ramp. The ramp has an incline angle

If a flea can jump straight up to a height of = [h] cm, what is the initial speed as it leaves the ground? Please give your answer in units of m/s.

Shown here are two masses connected by a string hanging over a frictionless, massless pulley. What is the tension in the string?

A projectile is fired at a speed of and at an angle

(7 pts) Part d of Question 17

At its most distant, Pluto is 7.5 billion km from Earth. We would like to leave Earth and stop at Pluto by accelerating at for half of this distance and decelerating at for the other half. How long does it take to make this trip? (Note you can’t actually carry enough fuel to accelerate continuously over the length of this trip. It’s just a thought exercise.)