A big frozen tofu turkey in a box of total mass m=5kg is pushed up an incline (f

Question

A big frozen tofu turkey in a box of total mass m=5kg is pushed up an incline (frictionless) a vertical distance of h=3m. . The block is traveling at the same speed (v1) at the bottom (1) of the incline as at the top (2). The speed at the top is v2=3m/s. At top the box slide a distance d1=15 cm on a frictionless surface until it encounters a friction patch of width d2=50 cm. Then the box slides again on a frictionless surface until it encounters a spring with spring constant k=500 N/m. The box compresses the spring a distance d3=10 cm before it comes momentarily to rest. Again all surfaces are frictionless except of the rough patch For all the questions in this problem use g=10m/s2 (a) How much work is done by the pushing force pushing the block up the incline? (10pt) (you don?t need the angle or Fpush ? use concepts you learned in ch 6 &7) (b) What is the total work done on the block by all forces on its route up the frictionless incline (1->2)? Explain (you don?t need the angle ? use concepts you learned in ch 6 &7) 10pt

Explanation / Answer

a)since there is no change in kinetic energy, work done is equal to change in potential energy W = mgh = 5.10.3 = 150 J b) work done by normal force= 0(since normal force is perpendicular to displacement) work done by gravity= - work done by pushing force = -150 J

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