
Concept explainers
(a)
To find:
The force acting on the object at time
Solution:
Explanation:
1) Concept:
The force acting on object of mass
2) Given:
3) Calculations:
The position of an object at time
Velocity is the rate of change of position with time.
Therefore,
Acceleration is the rate of change of velocity with time.
By using the concept,
The force acting on object of mass
Conclusion:
The force acting on the object at time
(b)
To find:
The work done by the force during the time interval
Solution:
Explanation:
1) Concept:
The work done by the force field is
2) Given:
3) Calculation:
From part (a),
From given,
Therefore,
By using concept, the work done by the force during the time interval
By using dot product,
By using power rule of integration,
Simplify,
Applying limits,
Conclusion:
The work done by the force during the time interval

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Chapter 16 Solutions
UD CALC (241 ONLY) W/1 TERM ACCESS >IB
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