Please Help! Working together you decide that you need to answer the following q

Question

Please Help!

Working together you decide that you need to answer the following question: What energy does m1 have, starting with at A? What energy does m1 have just after the elastic collision at B? What energy does m1 have at C? What energy does m1 have before the collision at D? What energy will the combined (m1 + m2) have just after the collision at D? What is the speed of) m1 + m2) after the collision? What will the friction force on the ramp be (direction and magnitude)? How high will the mass (m1 + m2) go? How for up the ramp will the mass (m1 + m2) go?

Explanation / Answer

we have simply apply the conservation principle in this question

now to find the of m1 at position A , we get the enrgy contained in the spring + the energy due to the potential

therefore the total energy at A = 1/2Kx^2 + mg [2r]

b] the energy at B after tyhe collision at B is the same which the mass is having at point A

that is = 1/2Kx^2 + mg [2r]

c]at c the energy will be same as that in A and B as the force applied by the external part is zero that means the energy remains conserved throughout the motion so the enrgy will shift its form that is from kinetic to potential but the magnitude of energy stored is the same that is = 1/2Kx^2 + mg [2r]

d] before the collision atD the energy is same = 1/2Kx^2 + mg [2r]

after the inelastic collision they both begin to move with the same energy as it had before

so now the speed of both the combined masses will be same = 1/2 [m1+m2 ] v^2 = 1/2Kx^2 + mg [2r]

from the above equation we get the ans of part e and f

now we know that the constant force acting on the body during the inclined plane motion is due to the gravitational force and other due to the frictional force

so the final velocity of the combined masses will be 0 at the maximum height attained by the combined mass so we know the accelaration on the masses and we know the final and the initial velocity which would help us in finding the values of the height and the distance travelled

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