(a)
The distance travelled by the car before it comes to a stop.
(a)
Answer to Problem 85P
The distance travelled by the car before it comes to a stop is
Explanation of Solution
Write the expression for the Newton’s second law along horizontal axis.
Here,
Write the expression for the Newton’s second law along vertical direction.
Here,
Use equation (II) to write the expression for
Use equation (III) in (I) to solve for
Write the expression for the kinematics equation to solve for the distance travelled by the car before it comes to a stop.
Here,
As the care comes to a stop, the final velocity
Use equation (IV) in (V) to solve for
Conclusion:
Substitute
Therefore, the distance travelled by the car before it comes to a stop is
(b)
As the same car is moving downhill along the road makes an angle, the distance travelled by the car before comes to a stop.
(b)
Answer to Problem 85P
As the same car is moving downhill along the road makes an angle, the distance travelled by the car before comes to a stop is
Explanation of Solution
Write the expression for the Newton’s second law along horizontal axis.
Here,
Write the expression for the Newton’s second law along vertical direction.
Here,
Use equation (VIII) to write the expression for
Use equation (IX) in (VII) to solve for
As the care comes to a stop, the final velocity
Write the expression for the kinematics equation to solve for the distance travelled by the car before it comes to a stop.
Here,
Conclusion:
Substitute
Almost double the stopping distance.
Therefore, the same car is moving downhill along the road makes an angle, the distance travelled by the car before comes to a stop is
(c)
As the same car is moving uphill along the road makes an angle, the distance travelled by the car before comes to a stop.
(c)
Answer to Problem 85P
As the same car is moving uphill along the road makes an angle, the distance travelled by the car before comes to a stop is
Explanation of Solution
Write the expression for the Newton’s second law along horizontal axis.
Write the expression for the Newton’s second law along vertical direction.
Use equation (VIII) to write the expression for
Use equation (IX) in (VII) to solve for
As the care comes to a stop, the final velocity
Write the expression for the kinematics equation to solve for the distance travelled by the car before it comes to a stop.
Conclusion:
Substitute
Therefore, the same car is moving uphill along the road makes an angle, the distance travelled by the car before comes to a stop is
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Chapter 4 Solutions
College Physics, Volume 1
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