1)A 9.0 kg block is dropped from a height of 52.0 cm onto a spring of spring con

Question

1)A 9.0 kg block is dropped from a height of 52.0 cm onto a spring of spring constant k = 2560 N/m (see the figure). Find the maximum distance the spring is compressed.

2) A 35 kg trunk is pushed 6.6 m at constant speed up a 30° incline by a constant horizontal force. The coefficient of kinetic friction between the trunk and the incline is 0.17.
Calculate the work done by the applied horizontal force.

How much energy was dissipated by the frictional force acting on the trunk?

3)A 17 kg object is acted on by a conservative force given by F = (-3.1)x + (-5.7)x2, with F in newtons and x in meters. Take the potential energy associated with the force to be zero when the object is at x = 0. What is the potential energy of the system associated with the force when the object is at x = 2.0 m?

If the object has a velocity of 5.0 m/s in the negative direction of the x-axis when it is at x = 5.0 m, what is its speed when it passes through the origin?

Explanation / Answer

1)given that mass of the blck is m=9kg

   height h=52cm=0.52m

   then the potential energy in the block is P=mgh

   spring constant is k=2560N/m

   if x is the compression in the spring then

   the energy in the spring is E=1/2kx^2

from law of conservation of energy

   1/2kx^2=mgh

    1/2*2560*x^2=9*9.8*0.52

       x^2=0.0358

        x=0.1892m

         =18.92cm

as per cramster there should be only one Question for one post so

please post other Questions seperately

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