
(a)
The value of the constant C.
(a)

Explanation of Solution
Given:
The mass of the car is
Formula used:
Write the expression for the power of an object.
Here,
Draw the diagram to show the different forces acting on the car.
Write the expression of thenet force acting on the car.
Here,
Write the expression for the rolling frictional force on the car.
Here,
Substitute
Rearrange the above expression.
Multiply both sides of the expression (2) by the constant speed
Substitute
Rearrange expression (3).
Calculation:
Substitute
Conclusion:
Thus, the value of
(b)
The maximum speed of the car.
(b)

Explanation of Solution
Given:
The maximum power of the car is
Calculation:
Write the expression of the net force acting on the car.
Here,
Write the expression for the rolling frictional force on the car.
Here,
Substitute
Rearrange the above expression.
Multiply both sides of the expression (2) by the constant speed
Substitute
Rearrange above expression.
Substitute
Simplify the above expression.
Using Graphine calculator to solve the above expression for
Conclusion:
Thus, the maximum speed of the car is
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Chapter 6 Solutions
Physics for Scientists and Engineers
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