Concept explainers
a.The distance travelled by the sled up the inclined plane
b. The condition on the coefficient of static friction for the sled not to get stuck
c. The speed of the sled when it slides back down
Answer to Problem 91GP
Solution:
a. The distance travelled by the sled up the inclined plane is
b. The coefficient of static friction must be less than
c. The speed of the sled when it slides back down is
Explanation of Solution
To understand the question, let us check the following figure.
Given:
The mass of the sled is
The inclination angle is
The speed of the moving up is
The coefficient of kinetic friction is
Formula used:
From energy conservation, the kinetic energy of the sled is equal to the friction and gravitational potential energy summation.
Here, F is the friction force.
When the sled slides back, the energy conservation equation is,
Calculations:
a.
From equation (1)
b.
For the sled not to get stuck, the coefficient of static friction has to be less than
c.
From equation (2)
Conclusion:
a. The distance travelled by the sled up the inclined plane is
b. The coefficient of static friction must be less than
c. The speed of the sled when it slides back down is
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