Four beads each of mass M are attached at various locations to a hoop of mass M and radius R (see figure below). Find the center of mass of the hoop and beads. Assume 0₁ = 73° and 0₂ = 47° y M M Submit 35° 0₁ Submit R M M 10₂ 50° M 1) What is the component in terms of R? (Express your answer to two significant figures.) x 2) What is the y component in terms of R? (Express your answer to two significant figures.) (+ (+ R R

A trough is 5 meters long, 1.5 meters wide, and 1 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 1 meters, and base, on top, of length 1.5 meters). The kg trough is full of water (density 1000- ). Find the amount of work in m3 joules required to empty the trough by pumping the water over the top. (Note: Use g = 9.8 as the acceleration due to gravity.) s2 5m 1.5m 1m

Keep the track tilted at 7∘∘ with the horizontal, at let the cart roll downwards. The length of the track is 75 cm. Starting from zero speed at the top of the track, what will be the speed of the cart as it reaches the bottom? Write your answer in m/s, and ignore friction. Mass of the cart = 250 grams.

For the gravitational field of a large massive object, such as the sun, what is the gravitational potential energy of a smaller mass very, very far away? O mgh O 42

A 47-kg pole vaulter running at 11 m/s vaults over the bar. Her speed when she is above the bar is 1.2 m/s. Neglect air resistance, as well as any energy absorbed by the pole, and determine her altitude as she crosses the bar.

THX!

A 56-kg pole vaulter running at 10 m/s vaults over the bar. Her speed when she is above the bar is 1.3 m/s. Neglect air resistance, as well as any energy absorbed by the pole, and determine her altitude as she crosses the bar.

Hi there, quick true or false question. If you double the mass of an object that is at some elevated position, above a reference level, youd double it's gravitational potential energy. True or False Thanks!!