Solved: For the cases shown in Fig. Q6.8, the object is

Chapter 6, Problem 8DQ

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QUESTION:

For the cases shown in Fig. Q6.8, the object is released from rest at the top and feels no friction or air resistance. In which (if any) cases will the mass have (i) the greatest speed at the bottom and (ii) the most work done on it by the time it reaches the bottom?

Equation Transcription:

Text Transcription:

2m

Questions & Answers

QUESTION:

For the cases shown in Fig. Q6.8, the object is released from rest at the top and feels no friction or air resistance. In which (if any) cases will the mass have (i) the greatest speed at the bottom and (ii) the most work done on it by the time it reaches the bottom?

Equation Transcription:

Text Transcription:

2m

ANSWER:

Solution 8DQ

Step 1:

(a).Consider the energy conservation principle to calculate greatest speed of the ball at bottom

Here U and K are the potential and kinetic energy of the ball at initial and final stage.

Where and

             and

½

Here m is mass of ball,g is gravity and h is height.

Hence,the bottom speed of ball in all cases same that is   .

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