A block of mass 1 kg at height 0.25 meters is held in place against a spring of spring constant k = 217.1 by a horizontal external force. The spring is compressed 0.2 meters. The external force is removed, and the block is projected and descends a track. The block enters a rough section of coefficient of kinetic friction 0.2 at B, extending to C, where it stops after raveling a distance d, see figure below. Calculate the distance d. k him A h m V₁ m 8 v₂=0 m C

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As given in the figure below, a 4 kg block is accelerated from rest by a compressed spring of spring constant 320 N/m. The block leaves the spring at the spring's relaxed length and then travels over a horizontal floor with a coefficient of kinetic friction uk=0.25. The frictional force stops the block in distance D=5 m. Find the original compression distance of the spring

When a 4.00-kg object is hung vertically on a certain light spring that obeys Hooke’s law, the spring stretches 2.50 cm. If the 4.00-kg object is removed, (a) how far will the spring stretch if a 1.50-kg block is hung on it? (b) How much work must an external agent do to stretch the same spring4.00 cm from its unstretched position? Answer :  (a) 472 J (b) 2.76 kN

A package of mass m = 6.00 kg is released on a 53.1° incline, a distance D = 4.00 m from a long spring with force constant 1.10 x 10² N/m that is attached at the bottom of the incline (Figure 1). The coefficients of friction between the package and incline are s = 0.400 and k = 0.200. The mass of the spring is negligible. (a) What is the maximum Figure m D www.k 0 = 53.1° 1 of 1 ▼ Part L Correct Find the total work done by the force of friction over the entire trip. Express your answer with the appropriate units. ► View Available Hint(s) W₁ = -75.1 J Submit Previous Answers Answer Requested As you can see, this is in accordance with your result from Part J. For the steps and strategies involved in solving this problem, you may view the Video Tutor Solution.

A box slides from rest down a frictionless ramp inclined at 38.0° with respect to the horizontal and is stopped at the bottom of the ramp by a spring with a spring constant of k = 3.50 x 104 N/m. point of release 1 m compression of spring If the box has a mass of 12.0 kg and slides 3.00 m from the point of release to the point where it comes to rest against the spring, determine the compression (in m) of the spring when the box comes to rest.

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A block of mass 1.6 kg is held against a horizontal spring so that the spring is compressed 17 cm. The block is released and it slides across the floor a distance of 3.4 m before it stops. The coefficient of friction between the block and floor is 0.185. Find the force constant of the spring.