(a)
The acceleration of the crate.
(a)
Answer to Problem 2SP
The acceleration of the crate is
Explanation of Solution
Given info: The horizontal force is
Write the equation of motion of the crate.
Here,
Rearrange the above equation to get
Substitute
The direction of the crate is in direction of velocity.
Conclusion:
Thus, the acceleration of the crate is
(b)
The net force acting on the crate.
(b)
Answer to Problem 2SP
The net force acting on the crate
Explanation of Solution
Given info: The mass of the crate is
Write the expression for the net force.
Here,
Substitute
According to the second law motion this force will be in the direction of acceleration. This implies that the force is in the direction of velocity.
Conclusion:
Thus, the net force acting on the crate
(c)
The magnitude of the frictional force acting on the crate.
(c)
Answer to Problem 2SP
The magnitude of the frictional force acting on the crate is
Explanation of Solution
Write the expression for the net horizontal force.
Here,
The negative sign indicate that frictional force is opposite to horizontal force
Substitute
Conclusion:
Thus, the magnitude of the frictional force acting on the crate is
(d)
The force that must apply to crate by the rope in order for the crate to move with constant velocity.
(d)
Answer to Problem 2SP
The force that must apply to crate by the rope in order for the crate to move with constant velocity is
Explanation of Solution
Write the expression for the net horizontal force.
The frictional force is
Substitute
Conclusion:
Thus, the force that must apply to crate by the rope in order for the crate to move with constant velocity is
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