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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition | ISBN: 9780321740908 | Authors: Randall D. Knight
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a. What is the kinetic energy of a 1500 kg car traveling

Chapter 10, Problem 4E

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QUESTION:

Problem 4E

a. What is the kinetic energy of a 1500 kg car traveling at a speed of 30 m/s (≈ 65 mph)?

b. From what height would the car have to be dropped to have this same amount of kinetic energy just before impact?

c. Does your answer to part b depend on the car’s mass?

Questions & Answers

QUESTION:

Problem 4E

a. What is the kinetic energy of a 1500 kg car traveling at a speed of 30 m/s (≈ 65 mph)?

b. From what height would the car have to be dropped to have this same amount of kinetic energy just before impact?

c. Does your answer to part b depend on the car’s mass?

ANSWER:

Step 1 of 4

Part (a)

Our aim is to find the kinetic energy of the car traveling at the speed given.

The mass of the car \(\mathrm{m}=1500 \mathrm{~kg}\)

The speed \(\mathrm{v}=30 \mathrm{~m} / \mathrm{s}\)

The kinetic energy is given by

                                             \(K=\frac{1}{2} m v^{2}\)

                                            \(K=\frac{1}{2} \times 1500 \times 30^{2}\)

                                           \(K=6.75 \times 10^{5} \mathrm{~J}\)

                                           \(K=675 \mathrm{~kJ}\)

The kinetic energy of the car is \(675 \mathrm{~kJ}\).

Part (b)

 

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