please show steps ..thank u In the figure shown below, a 540n g box is placed in
ID: 1438782 • Letter: P
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please show steps ..thank u
In the figure shown below, a 540n g box is placed in front of spring, with spring constant k, that is compressed a distance a delta x = 18.1 cm from its natural length. When the box is let go, the spring will push the box and it will slide up the frictionless hill of height H = 1.7 m. At the top of hill, the ground is not frictionless. The coefficient of kinetic friction in this area is 0.15 and the coefficient of static friction is 0.25. The box will travel a distance d = 7.0 cm on the rough surface at the top of hill before coming to a stop. What is the total work that friction does in bringing the box to a stop? Before entering the area with friction what is the kinetic energy of the box? What is the total mechanical (potential plus kinetic) energy of the box at the top of the hill? What is the total mechanical energy at the bottom of the hill (after leaving the spring)? How much potential energy is stored in the spring when it is fully compressed? What is the spring constant k for this spring?Explanation / Answer
a) Frictional force = f = uN = 0.15*0.540*9.8=0.7938N
Work done = f*d= 0.7938*0.07=0.055566 J
b) KE = amount of work done by friction = 0.055566 J
c) ME= KE + PE = 0.055566 + 0.540*9.8*1.7= 9.051966 J
d) ME = 9.051966 J (conservation of energy)
e) PE = 9.051966 J (conservation of energy)
f) PE = 0.5*k*x2 = 9.051966 J
0.5*k*0.1812 = 9.051966
k= 555.61 N/m
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