me with this force problem, Thank you

[Leocardinal]

Homework Statement

A 70 kg crate is pushed at constant speed up the frictionless 23°

What horizontal force F is required? ( x Component Force)?

What force is exerted by the ramp on the crate?

Homework Equations

I used wsin(23) then i did (wsin(23))cos(23) which i found 246.73 N

and I used Wcos(23)= 631 N

I know that Fnet= 0 since the Velocity is constant acceleration is zero

I did a freebody Diagram

The Attempt at a Solution

I got 246.7 N for force in the Horizontal direction

and I got 631 N for what the second question is asking for.

I did that by calculating the Normal force.

Please Help

 

[Doc Al]

It's a bit hard to tell what you did. Start by identifying all the forces acting on the crate. Then write two equations: One for force components parallel to the incline; the other for components perpendicular.

 

[tomcue]

I would like to commend you on your efforts in solving this force problem. Your use of the equations and free body diagram are correct, and your answers for the horizontal force and the force exerted by the ramp on the crate are also correct. Good job!

However, I would like to suggest an alternative method for finding the horizontal force. Instead of using the weight of the crate (W), you can use the formula F = ma (force equals mass times acceleration). Since the crate is moving at a constant speed, its acceleration is zero, so the horizontal force needed to push it up the ramp is also zero. This means that the horizontal force is equal to the force of the ramp pushing back on the crate, which is the normal force (N) calculated as 631 N. So, the horizontal force required is also 631 N.

Overall, excellent job in solving the problem and using the correct equations and concepts. Keep up the good work!