A block with mass 0.50 k g is forced against a horizontal spring of negligible m

Question

A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (the figure (Figure 1) ). When released, the block moves on a horizontal tabletop for 1.00 m before coming to rest. The spring constant k is 100 N/m. A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (the figure (Figure 1) ). When released, the block moves on a horizontal tabletop for 1.00 m before coming to rest. The spring constant k is 100 N/m. A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (the figure (Figure 1) ). When released, the block moves on a horizontal tabletop for 1.00 m before coming to rest. The spring constant k is 100 N/m. A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (the figure (Figure 1) ). When released, the block moves on a horizontal tabletop for 1.00 m before coming to rest. The spring constant k is 100 N/m. Part A What is the coefficient of kinetic friction ?k between the block and the tabletop? Express your answer using two significant figures.   ?k = SubmitMy AnswersGive Up Provide FeedbackContinue Part A What is the coefficient of kinetic friction ?k between the block and the tabletop? Express your answer using two significant figures.   ?k = SubmitMy AnswersGive Up Part A What is the coefficient of kinetic friction ?k between the block and the tabletop? Express your answer using two significant figures.   ?k = SubmitMy AnswersGive Up Part A What is the coefficient of kinetic friction ?k between the block and the tabletop? Express your answer using two significant figures.   ?k = SubmitMy AnswersGive Up Part A What is the coefficient of kinetic friction ?k between the block and the tabletop? Express your answer using two significant figures.   ?k = SubmitMy AnswersGive Up Part A What is the coefficient of kinetic friction ?k between the block and the tabletop? Express your answer using two significant figures.   ?k = SubmitMy AnswersGive Up   ?k =   ?k = SubmitMy AnswersGive Up Provide FeedbackContinue Figure 1 of 1 A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (the figure (Figure 1) ). When released, the block moves on a horizontal tabletop for 1.00 m before coming to rest. The spring constant k is 100 N/m. Part A What is the coefficient of kinetic friction ?k between the block and the tabletop? Express your answer using two significant figures.   ?k = SubmitMy AnswersGive Up Provide FeedbackContinue Figure 1 of 1 A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (the figure (Figure 1) ). When released, the block moves on a horizontal tabletop for 1.00 m before coming to rest. The spring constant k is 100 N/m. What is the coefficient of kinetic friction ?k between the block and the tabletop? Express your answer using two significant figures.

Explanation / Answer

From conservation of energry E1 = E2

Energy (1) consists of the spring potential
Energy (2) consists of work due to friction

Spring Potential, Us = (1/2)*k*s^2
Us = (1/2)*100N/m*(0.2m)^2 = 2 J

Energy dissipation due to friction
Ef = F*d = (mk)*mass*g*distance
Ef = (mk)*.5kg*9.8m/s^2*1m
Ef = 4.9J*(mk)

Plugging into the initial constraint
2 J = 4.9J * (mk)

(mk) = 0.41

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