1.) A student moves a box of books down the hall by pulling on a rope attached to a box up a ramp. The student pulls with a force of 185N at an angle of 25° above the horizontal. The box has a mass of 35kg, and the coefficient of kinetic friction between the box and the floor is 0.27. Find the acceleration of the box.

2.) The student in item 1 above moves the box up a ramp inclined at 12° with the horizontal. If the box starts from rest at the bottom of the ramp and is pulled at an angle of 25° with respect to the incline and with the same 185N force, what is the acceleration up the ramp?

Question

1.) A student moves a box of books down the hall by pulling on a rope attached to a box up a ramp. The student pulls with a force of 185N at an angle of 25° above the horizontal. The box has a mass of 35kg, and the coefficient of kinetic friction between the box and the floor is 0.27. Find the acceleration of the box. 

 2.) The student in item 1 above moves the box up a ramp inclined at 12° with the horizontal. If the box starts from rest at the bottom of the ramp and is pulled at an angle of 25° with respect to the incline and with the same 185N force, what is the acceleration up the ramp?

anonymous · Answer

Use vectors to break up the force components into y and x, your x component will determine the acceleration of the box due to f = ma, and the y component will determine the friction for opposing the movement of the box, relative to the normal force.

anonymous · Answer

I can draw a diagram if you want

amurciano2 · Answer

yes please

anonymous · Answer

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We have an angle, and the value for the hypotenuse, so your first step is to use trigonometry to determine the x and y components of the force,

amurciano2 · Answer

thank you