A 30 kg cart initially moving at 2.0 m/s is pushed with a constant force of 100

Question

A 30 kg cart initially moving at 2.0 m/s is pushed with a constant force of 100 N for a distance of 5m. Mk= .3 for the surface. A) Calculate the work done by friction B) Calculate the final velocity of the cart A 30 kg cart initially moving at 2.0 m/s is pushed with a constant force of 100 N for a distance of 5m. Mk= .3 for the surface. A) Calculate the work done by friction B) Calculate the final velocity of the cart A) Calculate the work done by friction B) Calculate the final velocity of the cart

Explanation / Answer

A) work done by friction = f.s

= u mg s = 0.3*30*9.8*-5 = -441 J

b] change in KE = total work done W = -441 + Fs = -441 + 100*5 = 59 J

Final KE = 59 + 0.5*mu^2 = 59+ 0.5*30*2^2 = 119 J

velocity v = sqrt(2KE/m) = sqrt(2*119/30) = 2.82 m/s

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