Label the figure with the given information and continue to use it for solving t

Question

Label the figure with the given information and continue to use it for solving the problem. Calculate the object’s initial energy.

b) In the space below, indicate all primary forces acting on the object at the point where it is released by the spring, providing a clear diagram. Friction just begins acting at that point!

Primary Forces:

Using the same diagram, project the necessary forces along the appropriate directions and find the magnitude of the frictional force.

c) If the object is not attached to the spring, how far up the inclined plane will it slide before it comes to rest?

d) What is the speed at which the object was released by the spring?

2. An object of mass m=2kg is placed in front of a spring with the spring constant k-450N/m on an inclined plane that makes an angle 6e-40° with the honizontal. The spring is compressed to a total length, x,-0.5m and then released. The surface of the incline is frictionless along a length d-lm corresponding to the equilibrium (unstretched) length of the spring. The rest of the inline has a coefficient of kinetic friction, Hx 0.13 Please express all answers to two fgures ater the decimal dot.

Explanation / Answer

potential energy stored in the spring will be converted into kinetic energy of the block and this kinetic energy will be used to work done against friction and potential energy.

U = K

0.5 kx2 = 0.5 mv2

450*0.52 = 2 v2

v = 7.5 m/sec

this will be speed of the block when it leaves the spring, suppose it travells upto a distance L against the force of the friction.

f*L + mgh = 0.5*2*7.52

0.13*mg cos 40*L + mg L sin 40 = 56.25

1.95 L + 12.59 L = 56.25

L = 3.86 m

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