The Great Sandini is a 60 kg circus performer who is shot from a cannon (actually a spring gun). You don't find many men of his caliber, so you help him design a new gun. This new gun has a very large spring with a very small mass and a force constant of 1300 N/m that he will compress with a force of 6500 N. The inside of the gun barrel is coated with Teflon, so the average friction force will be only 50 N during the 5.0 mm he moves in the barrel. Required:
At what speed will he emerge from the end of the barrel, 2.5 mabove his initial rest position?

22m/s

Explanation:

Mass, m=60 kg

Force constant, k=1300N/m

Restoring force, Fx=6500 N

Average friction force, f=50 N

Length of barrel, l=5m

y=2.5 m

Initial velocity, u=0

Substitute the values

m

Work done due to friction force

We have

Substitute the values

Initial kinetic energy, Ki=0

Initial gravitational energy, \

Initial elastic potential energy

Final elastic energy,

Final kinetic energy,

Final gravitational energy,

Final gravitational energy,

Using work-energy theorem

Substitute the values

before we can answer, we have to see the choices that are printed there with the question.   that's the only way we can point you to the correct one.

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards