Solve the problems below How much work does it take to compress a spring with k

Question

Solve the problems below

How much work does it take to compress a spring with k = 23.8N/m by 0.527m ? Express your answer with the appropriate units. Four identical springs with k = 61.7kN/m support a car, with the car's weight distributed equally among them. Find the maximum weight for the car if the springs should be compressed no more than 4.0cm when the car is at rest. Express your answer to two significant figures and include the appropriate units. A model rocket with mass 1.62kg starts from rest on the ground and accelerates upward with engine force 49.8N From launch until the rocket reaches a height of 105m , find the work done by the rocket engine. Express your answer with the appropriate units. Find the work done by gravity. Express your answer with the appropriate units. Find the net work. Express your answer with the appropriate units.

Explanation / Answer

work done W = 0.5 kx^2 = 0.5 * 23.8 *0.527^2 =3.3049 J

b. F = kx = 61700 * 0.04 = 2468 N

weight W =251.8 kgs

c. W = Fh = 49.8*105 =5229 J

Wg = mgh = 1.62*9.8*105 =1667 J

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