All surfaces (inclined or horizontal) are m frictionless. V = 0 A particle of mass m is released from rest at the top of an inclined surface, as shown. At the bottom of the incline, it hits and h sticks to a block of mass M which is fixed M to a spring (spring constant k), causing the spring to become compressed. (1) Find, in terms of m, M,h, g and k, the maximum compression of the spring. (ii) What is the loss in kinetic energy due to the collision (and the particle sticking to the block)?

All surfaces (inclined or horizontal) are m frictionless. V = 0 A particle of mass m is released from rest at the top of an inclined surface, as shown. At the bottom of the incline, it hits and h sticks to a block of mass M which is fixed M to a spring (spring constant k), causing the spring to become compressed. (1) Find, in terms of m, M,h, g and k, the maximum compression of the spring. (ii) What is the loss in kinetic energy due to the collision (and the particle sticking to the block)?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

(c)
All surfaces (inclined or horizontal) are
m
frictionless.
V =0
A particle of mass m is released from rest
at the top of an inclined surface, as shown.
At the bottom of the incline, it hits and
h
sticks to a block of mass M which is fixed
M
to a spring (spring constant k), causing the
spring to become compressed.
(i) Find, in terms of m, M, h, g and k, the
maximum compression of the spring.
(ii) What is the loss in kinetic energy due to the collision (and the particle sticking to the block)?
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