Question

A crate of mass 15.0 kg is pulled up a rough incline with an initial speed of 1.50 m/s. The pulling force is 250 N parallel to the incline, which makes an angle of 35.0 with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 8.00 mQuestion 5Determine the work is done by the pulling force.Round your answer to 3 significant figures. Question 6Determine the work done by the force of gravityRound your answers to 3 significant figures Question 7Determine the work done by the normal force Round answers to 3 significant figures Question 8 Determine the normal force on the object Round answers to 3 significant figures Question 9Determine the work done by friction Round answers to 3 significant figures

Answer 1

Given:

Mass of crate = 15.0 kg

Initial speed = 1.50 m/s

Pulling force = 250 N

θ = 35.0 degrees with the horizontal

coefficient of friction = 0.400

Distance pulled = 8.00 m

Let's first draw the free body diagram below.

Let's solve for the following:

• (5) Determine the work done by the pulling force.

To find the work done by the pulling force, we have:

Work done = Force x distance

= 250 x 8.00

= 2000J

• (6) Determine the work done by the force of gravity.

Apply the formula:

Work done = Fg x S = mgS

Where S is the distance.

g is the acceleration due ot gravity = 9.8 m/s²

We have:

Work done = 15.0 x 9.8 x 8.00 = 1176 J

• (7) Determine the work done by the normal force.

Apply the formula:

W = Fn x S = (mgS)cosθ

W = 1176cos35

W = 963.32 J

ROunding to 3 significant figures = 963 J

• (8) Determine the normal force on the object .

APply the formula:

R = mgcosθ

R = 15.0 x 9.8 x cos35 = 120.4 N

Round to 3 significant figures = 120 N

• (9)Determine the work done by friction

To find the work done bu