407 A crate of mass 9.8 kg is pulled

A crate of mass 9.8 kg is pulled - Physics

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Free Chegg Question

A crate of mass 9.8 kg is pulled up a rough incline with an initial speed of 1.44 m/s. The pulling force is 90 N parallel to the incline, which makes an angle of 21.0° with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 5.10 m.

(a) how much work is done by the gravitational force on the crate?

(b) Determine the increase in internal energy of the crate-incline system owing to friction.

(c) How much work is done by the 90-N 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 5.10 m?

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Free Chegg Answer

Here ,

m = 9.8 Kg

u = 1.44 m/s

F = 90 N

theta = 21 degree

uk = 0.40

distance ,d = 5.1 m

a)

work done by gravitational force = - m * g * d * sin(theta)

work done by gravitational force = -9.8 * 9.8 * 5.1 * sin(21)

work done by gravitational force = -175.5 J

b)

increase in internal energy = uk * m * g * cos(theta) * d

increase in internal energy = 0.40 * 9.8 * 9.8 * cos(21) * 5.1

increase in internal energy = -182.91 J

c)

work done by the 90 N force = 90 * 5.1

work done by the 90 N force = 459 J

d)

change in kinetic energy = net work done

change in kinetic energy = -175.5 - 182.91 + 459

change in kinetic energy = 100.6 J