Minimum energy to reach the top of the hill:
Emin = mgh = (1500)(9.81)(5.0) = 7.4 × 104 J.
The car's initial total energy:
A 1500 kg car is approaching the hill shown in the figure below at 12m/s when it suddenly runs out of gas. Neglect any friction.
Can the car make it to the top of the hill by coasting?
a) Yes, the car will stop exactly on the top of the hill.
b) No, the car will not reach the top of the hill.
c) Yes, the car will pass the top of the hill and will continue to move down.
d) More information is needed.
What is the car's speed after coasting down the other side?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Motion Along Curved Paths concept. You can view video lessons to learn Motion Along Curved Paths. Or if you need more Motion Along Curved Paths practice, you can also practice Motion Along Curved Paths practice problems.
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Based on our data, we think this problem is relevant for Professor Henderson's class at MTSU.