A battery-operated car utilizes a 12.0 V system. Find the charge (in C) the batteries must be able to move in order to accelerate the 800 kg car from rest to 25.0 m/s, make it climb a 1.90 ✕ 102 m high hill, and then cause it to travel at a constant 25.0 m/s by exerting a 4.20 ✕ 102 N force for an hour.
A battery-operated car utilizes a 12.0 V system. Find the charge (in C) the batteries must be able to move in order to accelerate the 800 kg car from rest to 25.0 m/s, make it climb a 1.90 ✕ 102 m high hill, and then cause it to travel at a constant 25.0 m/s by exerting a 4.20 ✕ 102 N force for an hour.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A battery-operated car utilizes a 12.0 V system. Find the charge (in C) the batteries must be able to move in order to accelerate the 800 kg car from rest to 25.0 m/s, make it climb a 1.90 ✕ 102 m high hill, and then cause it to travel at a constant 25.0 m/s by exerting a 4.20 ✕ 102 N force for an hour.
Expert Solution

Step 1: Calculate acceleration Energy
Calculate the energy required to accelerate the car from rest to 25.0 m/s using the kinetic energy formula:
Energy for acceleration = (1/2) * mass *
Energy for acceleration = (1/2) * 800 kg * (25.0 m/s)^2 = 250,000 J
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