Electric Charge Video Lessons

Concept

# Problem: A battery-operated car utilizes a 12.0 V system. Find the charge the batteries must be able to move in order to accelerate the 750 kg car from rest to 25.0 m/s, make it climb a 2.00×102 m high hill, and then cause it to travel at a constant 25.0 m/s by exerting a 5.00×102 N force for an hour.

###### FREE Expert Solution

As the car is moving, it also gains height.

Therefore, it has both kinetic and potential energy due to height.

At the top, the car then moves at a constant speed by exerting some force creating energy Fd.

The total energy the car spends is given by:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{m}}{{\mathbf{v}}}^{{\mathbf{2}}}{\mathbf{+}}{\mathbf{m}}{\mathbf{g}}{\mathbf{h}}{\mathbf{+}}{\mathbf{F}}{\mathbf{d}}}$

At a constant speed, after climbing the hill, the car covers a distance given d = vt

d = (25.0)(1 × 3600) = 90000m

The energy released by the battery is E = qV

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###### Problem Details

A battery-operated car utilizes a 12.0 V system. Find the charge the batteries must be able to move in order to accelerate the 750 kg car from rest to 25.0 m/s, make it climb a 2.00×102 m high hill, and then cause it to travel at a constant 25.0 m/s by exerting a 5.00×102 N force for an hour.

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 Electric Charge concept. You can view video lessons to learn Electric Charge. Or if you need more Electric Charge practice, you can also practice Electric Charge practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Bottger's class at USFCA.