Concept explainers
(a)
The force exerted on the floor by each hand to do pushups.
Answer to Problem 37PE
The force exerted on the floor by each hand to do pushups is
Explanation of Solution
Given:
The mass of the woman is
The acceleration due to gravity is
Formula used:
The free body diagram is as shown below.
Figure (1)
Apply second condition of equilibrium; the net torque around the pivot is zero.The force is same on each arm.
The relation between weight and mass of the woman is
By second condition of equilibrium,
The force on each arm is
Calculation:
The weight of the woman is calculated as
The reaction force is calculated as
The force on each arm is calculated as
Conclusion:
The force exerted on the floor by each hand to do the pushups is
(b)
The magnitude of force in each triceps muscle and the ratio of forces between the triceps muscle to the weight.
Answer to Problem 37PE
The magnitude of force in each triceps muscle is
Explanation of Solution
Given:
The reaction force is
Formula used:
The torque around the pivot point gives the relation between the forces in triceps muscles
The ratio between the forces in the triceps muscle to the weight is
Calculation:
The force in each triceps muscle is calculated as
The ratio is calculated as
Conclusion:
The magnitude of force in each triceps muscle is
(c)
The work done by the women.
Answer to Problem 37PE
The work done by the women is
Explanation of Solution
Given:
The height from the floor when the centre of mass rises her body is
Formula used:
The work done by the woman to raise her centre of mass is given by
Calculation:
The work done by the woman is calculated as
Conclusion:
The work done by the women is
(d)
The useful power of the women.
Answer to Problem 37PE
The useful power output of the women is
Explanation of Solution
Given:
The work done by the woman is
The number pushups the woman do in one minute is
Formula used:
The time taken by the woman to do one pushup is
The relation between the work done, the time taken to complete the work and the power is
Calculation:
The time taken by the woman to do one pushup is calculated as
The power output is calculated as
Conclusion:
The useful power output of the women is
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Chapter 9 Solutions
COLLEGE PHYSICS (OER)
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