Question

1) A 4.0kg cart on a level ground is pulled with a horizontal spring that's stretched 2.0cm from its equilibrium length. The spring constant of the spring is 100N/m. The cart moves with a constant acceleration. Friction may not be ignored. a) What is the magnitude of the frictional force on the cart. b) Now the spring is stretched twice as far from its equilibrium length. Find the acceleration of the cart.

2)A box that weighs 200N is being dragged along a level floor at a constant speed with a horizontal spring that's stretched 0.20m from its equilibrium length. The coefficient of kinetic friction between the box and the floor is 0.50. a) Find the spring constant of the spring. b) If the spring is now stretched by 0.30m, does the box with a greater constant speed or with a constant acceleration? Explain.

3) A 90N weight hags from a spring, stretching it from its equilibrium position by 1.10m.

a) Find the Spring constant of the spring.

b) Now the 90 weight is removed and a 30N weight is hung from the same spring. How much is the spring stretched from its equilibrium position?

c) The 90N mass now hangs from a second spring, and strectches it from its equilibrium position by 0.20m. Does the second spring have a higher or lower spring constant than the first spring?

Answer 1