Question

I need help with this question, please

Answer 1

Ok so this is a kinetic and potential energy problem. KE= 1/2*m*v^2 and PE= mgh so we set them equal to each other and get KE=PE so 1/2mv^2=mgh so mass divers out and left with 1/2v^2 =gh so solving for h or height we get
h=(1/2v^2)/g so h= 1/2*(6.5m/s)^2/9.80m/s^2 = 2.16m in height the ball will reach.

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Answer 2

Calculate the kinetic energy of the ball at the bottom of the ramp, then calculate how high it needs to be in order to have that same amount of potential energy.