Question

Please show the steps to complete the problem.

A 1500 kg car is approaching a hill shown in the figure below at 10 m/s when it suddenly runs out of gas. Can the car make it to the top of the hill by coasting? If your answer to part "A" is yes, what is the car's speed after coasting down the other side?

Answer 1

A)Initial Total energy = (0.5*1500*(10^2))+(1500*9.81*5) = 148575 J
Final potential energy = (1500*9.81*10) = 147150 J
Initial Total energy > Final potential energy
So it will have some final K.E. So, yes it can make to the top of the hill by coasting.
B)Initial Total energy = Final total energy
=>(0.5*1500*(10^2))+(1500*9.81*5) = (0.5*1500*(V^2))
=>V = 14.07480018 m/s

Answer 2

A) mv^2/2 =mgh,,,,,,,,,,,,,,,,h=v^2/2g=5.1 m ,,,yes car will make to top of hill,,,,,,,,,,,,,B) mg(10)=mv^2/2=14m/s