5) (ex) Mass on incline: A cable pulls a 30.0-kg crate by a distance of 3.00 meters up along a frictionless ramp inclined at 20.0 degrees above the horizontal. The cable exerts a constant force of magnitude 200 N and direction parallel to the ramp. The crate begins with zero velocity. (See PSL 5.4,9) a) Make a FBD of the crate. b) Determine (i) the normal force on the crate, and (ii) the acceleration of the crate. c) Determine the speed of the crate after it has traveled 3.00 meters along the ramp. cable crate

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**Mass on Incline**

A cable pulls a 30.0-kg crate by a distance of 3.00 meters up along a frictionless ramp inclined at 20.0 degrees above the horizontal. The cable exerts a constant force of magnitude 200 N and direction parallel to the ramp. The crate begins with zero velocity. (See PSL 5.4, 9)

a) Make a Free Body Diagram (FBD) of the crate.

b) Determine (i) the normal force on the crate, and (ii) the acceleration of the crate.

c) Determine the speed of the crate after it has traveled 3.00 meters along the ramp.

**Diagram Explanation:**

A diagram is provided below the problem statement. It shows an inclined ramp with a crate placed on it. The crate is connected to a cable that runs parallel to the surface of the ramp. The ramp is inclined at an angle of 20.0 degrees above the horizontal. The diagram visually supports the problem statement by illustrating the setup described, including the orientation of the crate and cable on the inclined plane.
Transcribed Image Text:**Mass on Incline** A cable pulls a 30.0-kg crate by a distance of 3.00 meters up along a frictionless ramp inclined at 20.0 degrees above the horizontal. The cable exerts a constant force of magnitude 200 N and direction parallel to the ramp. The crate begins with zero velocity. (See PSL 5.4, 9) a) Make a Free Body Diagram (FBD) of the crate. b) Determine (i) the normal force on the crate, and (ii) the acceleration of the crate. c) Determine the speed of the crate after it has traveled 3.00 meters along the ramp. **Diagram Explanation:** A diagram is provided below the problem statement. It shows an inclined ramp with a crate placed on it. The crate is connected to a cable that runs parallel to the surface of the ramp. The ramp is inclined at an angle of 20.0 degrees above the horizontal. The diagram visually supports the problem statement by illustrating the setup described, including the orientation of the crate and cable on the inclined plane.
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