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A spring with a spring constant of 549 N/m is used to propel a 0.275-kg mass up an inclined plane. The spring is compressed 36.1 cm from its equilibrium position and launches the mass from rest across a horizontal surface and onto the plane. The plane has a length of 4.00 m and is inclined at 30.0°. Both the plane and the horizontal surface have a coefficient of kinetic friction with the mass of 0.377. When the spring is compressed, the mass is 1.50 m from the bottom of the plane.
a) What is the speed of the mass as it reaches the bottom plane?
b) What is the speed of the mass as it reaches the top of the plane?
c) What is the total work done by friction from beginning to end of the mass' motion?
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