Arope is tied to a box and used to pull the box 2.3 m along a horizontal floor. the rope makes an angle of 30∘ with the horizontal and has a tension of 5 n. the opposing friction force between the box and the floor is 1 n

part a

how much work does gravity do on the box?

part b

how much work does the tension in the rope do on the box?

part c

how much work does the friction do on the box?

part d

how much work does the normal force do on the box?

part e

what is the total work done on the box?

Distance covered, s = 8ft - 4ft = 4 ftinitial velocity, u = 34 ft/sthe acrobat is moving upwards and therefore, a = -g = -9.81 m/s^2 = 32.19 ft/s^2applying equation of motion; s = ut -1/2gt^2then,4 = 34t -1/2*32.19t^24 = 34t - 16.095t^2rearranging; -16.095t^2 + 34t - 4 = 0solving the quadratic equation; t = {-34 +/- sqrt [34^2 - 4(-16.)]}/2(-16.095) = 1.06 +/- 0.93 = 0.13 or 1.99the acrobat will take 0.13 seconds to be at 8 ft above the ground. additionally, once at the maximum height, the acrobat will move down and be at the same spot (that is height) after 1.99 seconds moving down.