A57 kg skier starts from rest at a height of h = 27 m above the end of the ski-jump ramp. as the skier leaves the ramp, his velocity makes an angle of 28° with the horizontal. neglect the effects of air resistance and assume the ramp is frictionless.

(a) what is the maximum height h of his jump above the end of the ramp?
(b) if he increased his weight by putting on a backpack, would h then be greater, less or, the same?

(a)

(b) h is the same

Explanation:

According to the law of conservation of energy:

The skier starts from rest, so and we choose the zero point of potential energy in the end of the ramp, so . We calculate the final speed, that is, the speed when the skier leaves the ramp:

Finally, we calculate the maximum height h above the end of the ramp:

The initial vertical speed is given by:

and the final speed is zero, solving for h:

(b) We can observe that the height reached does not depend on the mass of the skier

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force