If he were to repeat this process by pulling the rope at an angle of 20° above the horizontal, the final velocity of the box ____ increases   ____ decreases  ____ stays the same Justify your answer.

The figure below shows an object with mass m = 5.1 kg pulled up a ramp inclined at an angle of θ = 29° with a force of magnitude F = 33 N parallel to the ramp.   (a) If there is no friction between the object and the ramp, what is the magnitude of the object's acceleration (in m/s2)?   m/s2 (b) If instead the coefficient of kinetic friction between the object and the ramp is 0.12, what is the magnitude of the object's acceleration (in m/s2)?   m/s2

A 1,500-N crate is being pushed across a level floor at a constant speed by a force F of 370 N at an angle of 20.0° below the horizontal, as shown in the figure a below. F 20.0° / b 20.0° (a) What is the coefficient of kinetic friction between the crate and the floor? (Enter your answer to at least three decimal places.) 0.220 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.

A man wants to move a heavy wooden crate (82 kg) across a wooden floor.  However, since he is taller than the crate, he must pull it using a rope that makes an angle of 42 degrees with the horizontal.  He exerts a force of 312 N as he pulls.  What is the Normal Force exerted by the floor on the crate? What is the size of the Friction Force felt by the crate, if the crate moves at a constant speed in a straight line? Imagine that instead the floor is more slick, so that the crate feels a friction force half of what you calculated above.  What is the crate’s acceleration?