Kinetic Energy and Work Homework Help

[KTiaam]

Homework Statement

A 50 kg mass is pulled at a constant speed up a 20° incline which is 12m long and 4.1m high.

μk = 0.32

a) find the work done by tension, T.
b) find the work done by friction.
c) find the work done against gravity.

Homework Equations

W = F x D
Work = force x Distance

W = Fd x cosθ

The Attempt at a Solution

I still confused on the concept of this.

i know that you have to use Fd x cosθ, but i am confused on how to set it up.

 

[berkeman]

Homework Statement

A 50 kg mass is pulled at a constant speed up a 20° incline which is 12m long and 4.1m high.

μk = 0.32

a) find the work done by tension, T.
b) find the work done by friction.
c) find the work done against gravity.

Homework Equations

W = F x D
Work = force x Distance

W = Fd x cosθ

The Attempt at a Solution

I still confused on the concept of this.

i know that you have to use Fd x cosθ, but i am confused on how to set it up.

Always start this kind of problem with a free body diagram (FBD). Can you sketch one and post it as an attachment? And use the FBD to show the forces that you are being asked about in the problem...

 

[CosmicKitten]

Frictional force is the constant of friction multiplied by the normal force, which is the force equal and opposite to the gravitational force.

 

[KTiaam]

Always start this kind of problem with a free body diagram (FBD). Can you sketch one and post it as an attachment? And use the FBD to show the forces that you are being asked about in the problem...

This is my FBD

 

[berkeman]

This is my FBD

Good, so now you can start writing equations for each of the works that you are asked to find...

 

[KTiaam]

Good, so now you can start writing equations for each of the works that you are asked to find...

Im still confused on how to do that, all i know is that:

f// = mgsinθ
fn = mgcosθ

 

[vela]

i know that you have to use Fd x cosθ, but i am confused on how to set it up.

What specifically is confusing you about applying the formula? You have three quantities, F, d, and θ. What do these variables represent?

 

[ap123]

KTiaam - remember to put the frictional force in your free-body diagram.

 

[KTiaam]

So i know how to find F of gravity and force perpendicular how do i find force friction?

Since i know F perpendicular would it be just the opposite?

F perpendicular is equal to 46.045
i got that by:

mass x gravity x cos 20°

= 5 kg x 9.8 x cos 20°
=46.045

would force normal be negative then?
or is force of gravity negative?

i know that Force of friction is:

coefficient of friction x force normal

am i on the right track?

 

[ap123]

i know that Force of friction is:

coefficient of friction x force normal

Yes.
For the direction of the frictional force - remember that it always opposes the motion.