## WORK ENERGY AND POWER Quiz-8

Dear Readers,

Work power energy is the most important chapter when it comes to mechanics, for JEE (Advanced). The chapter is quite tricky and takes a lot of time and devotion on your part to understand and master. But this chapter is a complete gold medal for almost all the questions of the mechanics can be solved by the work power energy approach if you master this topic..

Q1.
•
•  2√gA
•  √2gA
•  4√gA
Solution

Q2.
•  h=(5/2)R
•  h=2R
•  h=(2/5) R
•  h=3R
Solution

Q3.
•
•
•
•
Solution

Q4. Two springs P and Q having stiffness constant k1 and k2(k2 is less than k1), respectively are stretched equally. Then
•  More work is done on Q
•  More work is done on P
•  Their force constants will become equal
•  Equal work is done on both the springs
Solution
Since k1>k2 Therefore, P will develop greater restoring force than Q. So the applied force on P will be more than the applied force on Q. Extension is same in both the cases. So, more work will be done on P

Q5.
•
•
•
•
Solution

Q6.
•
•
•
Solution

Q7.
An engine can pull four coaches at a maximum speed of 20 ms^(-1). The mass of the engine is twice the mass of energy coach. Assuming resistive forces to be proportional to the weight, approximate maximum speeds of the engine, when it pulls 12 and 6 coaches, are
•
8.5 ms^(-1) and 15 ms^(-1), respectively
•
6.5 ms^(-1) and 8 ms^(-1), respectively
•
8.5 ms^(-1) and 13 ms^(-1), respectively
•
10.5 ms^(-1) and 15 ms^(-1), respectively
Solution

Q8.
•
•
•
•
Solution

Q9.
•  280/5 units
•  140/5 units
•  232/5 units
•  192/5 units
Solution
The z-component of the force and the x-component of displacement are ineffective here
dW=Fy dy=3xy.dy (∵z=0)
=6x^4 dx (∵y=x^2) Integrating between x=0 and x=2 gives the result

Q10.
A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, the work required to pull the hanging part on to the table is

•  MgL
•  MgL/3
•  MgL/9
• MgL/18
Solution

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