A3 kg mass starts from rest at point a, which is at the top of an h= 0.50 m high, frictionless curved ramp. it slides down the ramp, encounters a surface which has a coefficient of friction of μ=0.1 for a length of 1.0 meters. once the mass hits point c, the surface becomes frictionless. finally, the mass encounters a spring (k=100 n/m ), compressing the spring, until the mass comes momentarily to a stop. use conservation of energy to answer each question. (a) what is the magnitude of the velocity of the mass at point b? (b) what is the magnitude of the velocity of the mass at point c? (c) how much does the spring compress when the mass comes momentarily to a stop? (d) after stopping for a moment, the spring expands sending the mass back towards point c. what is the magnitude of the velocity at point c?

1point) a skydiver weighing 130 lb (including equipment) falls vertically downward from an altitude of 14,000 ft and opens the parachute after 20 s of free fall. assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.85|v|0.85|v| when the parachute is closed and is of magnitude 17|v|17|v| when the parachute is open, where the velocity vv is measured in ft/s. assume that acceleration due to gravity has magnitude 32 ft/s/s; remember that weight is the product of mass and gravitational acceleration. find the speed of the skydiver when the parachute opens. speed is 150.6121788 ft/s find the skydiver's height when the parachute opens. height is 2338.98591 ft find the limiting velocity vlvl after the parachute opens. (think about whether this should be positive or negative.) vl=vl= 7.647 ft/s

Aperson stands on a platform, initially at rest, that can rotate freely without friction. the moment of inertia of the person plus the platform is ip. the person holds a spinning bicycle wheel with its axis horizontal. the wheel has moment of inertia iw and angular velocity ωw. take the ωw direction counterclockwise when viewed from above. part a what will be the angular velocity ωp of the platform if the person moves the axis of the wheel so that it points vertically upward?

A2k pendulum has a speed of 1 m/s at a height of 1/2 meter