(a)
The speed of the blocks moving along the inclines.
(a)
Answer to Problem 133P
The speed of the blocks is
Explanation of Solution
Let us consider the distance be
Write the equation for law of conservation of energy of the system.
Here,
Write the equation for final kinetic energy.
Here,
Write the equation for final kinetic energy.
Here,
Write the equation for initial potential energy.
Here,
Write the equation for final potential energy.
Here,
Conclusion:
Substitute equation (II), (III), (IV) and (V) in equation (I).
Solve the above equation for
Substitute
Therefore, the speed of the blocks is
(b)
Find the speed of block along the incline at constant acceleration.
(b)
Answer to Problem 133P
The speed of block along the incline at constant acceleration is
Explanation of Solution
Write the equation for Newton’s second law applied for mass
Here,
Write the equation for Newton’s second law applied for mass
Rewrite the equation (VI) for tension force.
Rewrite the equation (VII) for tension force.
Compare the equation (VIII) and (IX) to solve acceleration.
Write the equation for motion of blocks travel along the incline.
Here,
Conclusion:
Substitute
Susbtitute
Therefore, the speed of block along the incline at constant acceleration is
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