A crate of mass 10.0 kg is pulled up a roughincline with an initial speed of 1.50m/s. The pulling forceis 100N parallel to the i
ncline, which makes an angle of 20.0 withthe horizontal. The coefficient of kinetic friction is 0.400,and the crate is pulled 5.00m.
A) How much work is done by the gravitational force on thecrate?
B) Determine the increase in internal energy of the crate-inclinesystem owing to friction.
C) How much work is done by the 100N force on the crate?
D)What is the change in kinetic energy of the crate?
E) What is the speed of the crate after being pulled 5.00m?
A) How much work is done by the gravitational force on thecrate?
B) Determine the increase in internal energy of the crate-inclinesystem owing to friction.
C) How much work is done by the 100N force on the crate?
D)What is the change in kinetic energy of the crate?
E) What is the speed of the crate after being pulled 5.00m?
1 answer:
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Answer:
The rate of change of the area when the bottom of the ladder (denoted by ) is at 36 ft. from the wall is the following:
Explanation:
The Area of the triangle is given by where
(by using the Pythagoras' Theorem) and
is the length of the base of the triangle or the distance between the bottom of the ladder and the wall.
The area is then
The rate of change of the area is given by its time derivative
Product rule
Chain rule
In here we can identify ,
and
.
The result is then