Physics 1100

Test #3

March 2002

1. The U.S.S. Voyager is in circular orbit around a Class M planet. Ensign Kim reports to Captain Janeway that the planet has a radius of 5840 km, that the Voyager is 3000 km from the surface of the planet, and that it takes Voyager 3 hours and 16 minutes to make one orbit of the planet. He further reports that the planet has one moon whose centre is 3.50 × 10⁵ km from the centre of the planet. The orbit of the moon is circular.
   (a) What is the mass of the planet?
   (b) What is the acceleration due to gravity on the surface of the planet?
   (c) How long does it take the moon to complete one orbit?
2. A rollercoaster filled with people is moving with speed v_A at point A on a flat part of the track.  Ahead is a circular depression in the track of radius R = 15.0 m. How fast does v_A have to be so that the people feels four times as heavy as normal at point B at the very bottom of the depression?  Ignore friction and air resistance.

3. A block is sliding down a long incline incline.  At point A it has a velocity of v₀ = 5 m/s. How much further, L, will it slide down the incline until it comes to a complete stop?   The coefficients of friction between the block and the incline are μ_S = 0.65 and μ_K = 0.40. The incline makes an angle of 18.0° to the horizontal. Hint the distance the block slides down the incline is related to the height it drops.

		sin(2θ) = 2sin(θ)cos(θ)
	G = 6.672 × 10-11 N-m2/kg2
W=FLcos(θ)	K=½mv2	U = mgh
Wnc = Ef – Ei	E = K + U

Quadratic Equation
Given the formula , the solutions are

Questions? mike.coombes@kpu.ca