A ball of mass 0.50 kg is thrown vertically upward with an initial speed of 30 m

Question

A ball of mass 0.50 kg is thrown vertically upward with an initial speed of 30 m/s.
a. Use the Work-Kinetic Energy theorem to calculate the maximum height reached.
b. Use the Work-Kinetic Energy theorem to calculate the speed of the ball at half the maximum height.
c. Is the gravitational force conservative or non-conservative? Explain your answer.
d. Could parts a and b be calculated using the conservation of mechanical energy? Explain how, and then calculate parts a and b using the conservation of mechanical energy.

Explanation / Answer

1).5mv^2=.5*.5*30*30=225 so now mgh=225 so 225/9.8*.5=45.91 2)so at half of this height mgh/2=225/2=112.5 so .5mv^2=112.5 so v=21.21 3)yes conservative because work in that field is indepedent of path 4)yes k.e+pe is me always constant

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