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1) A 4.0kg cart on a level ground is pulled with a horizontal spring that\'s str

ID: 1427043 • Letter: 1

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.

Explanation / Answer

Apply Newton second law

F- fk = ma

since a = 0

F- fk = 0

F= fk

kx = fk

100(0.02) = fk

fk = 2 N

(b)

F- fk = ma

kx- fk = ma

a = kx- fk/m

= 100(0.04) - 2N/4 kg

=0.5 m/s^2

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I follow chegg guidelines as per guide lines i worked first problem please post secong post next time