×
×

# Unreasonable Results A wrecking yard inventor wants to ISBN: 9780130606204 3

## Solution for problem 66PE Chapter 18

Physics: Principles with Applications | 6th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Physics: Principles with Applications | 6th Edition

4 5 1 394 Reviews
17
2
Problem 66PE

Unreasonable Results A wrecking yard inventor wants to pick up cars by charging a 0.400 m diameter ball and inducing an equal and opposite charge on the car. If a car has a 1000 kg mass and the ball is to be able to lift it from a distance of 1.00 m: (a) What minimum charge must be used? (b) What is the electric field near the surface of the ball? (c) Why are these results unreasonable? (d) Which premise or assumption is responsible?

Step-by-Step Solution:

Solution: In the question a wrecking yard inventor wants to pick up cars by charging a 0.400 m diameter ball and inducing an equal and opposite charge on the car.. Then next if a car has a 1000 kg mass and the ball is to be able to lift it from a distance of 1.00 m. First we want to know about W recking yard inventor, The wrecking yard is the location of a business in dismantling where wrecked or decommissioned vehicles are brought, their usable parts are sold for use in operating vehicles. While the unstable metal parts, known as s crap metal parts, are sold to metal-recycling companies. The above figure is the Wrecking yard car parts Step 1 (a) What minimum charge must be used We need to find the minimum charge of the car used, through the coulomb’s law of electrostatic force, The Electrostatic force between car and ball is, kq 2 F = r2 Where, q is charge on the ball same charge is also in car, r is the distance of car and ball, and k is constant. The Electrostatic attractive force must be equal to gravitational force acting on the car. So the,Gravitational force acting on car is F = mg G Here, m is the mass of the car, g is acceleration due to gravity. Therefore, the above two equation is F = F G kq 2 Substitute, m g for F andG, r2 for F, in the above equation is, 2 kq2 = mg r 2 q = r mg k Take the square root on both sides, we get r mg q = k Substitute, 1000 kg for m , (9.80 m/s ) for g , 1.0 m for r, and 9.00×10 Nm /C for k, in the above equation is, 2 q = (1.00 m) (1000 kg) (9.80m/s ) (9.00×10 Nm /C )2 2 = 1.043 × 10 C -3 Therefore, the minimum charge used is 1.043 × 10 C -3 Step 2 (b) What is the electric field near the surface of the ball Electric field near the surface of ball due to charge q is, kq E = r2 Where, r is the radius of ball, k is constant whose value is depending on permittivity of medium, q is charge on the ball same charge is also in car, -3 Substitute, 1 .043 × 10 C for q 0 equation is (9.00×10 Nm ./C )(1.043 ×10 E = (0.20 m)(0.20 m) E = 2.35 ×10 N/C 8 Therefore, the electric field near the surface is 2.35 ×10 N/C

Step 3 of 4

Step 4 of 4

##### ISBN: 9780130606204

This full solution covers the following key subjects: ball, results, unreasonable, Car, Charge. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. The full step-by-step solution to problem: 66PE from chapter: 18 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. The answer to “Unreasonable Results A wrecking yard inventor wants to pick up cars by charging a 0.400 m diameter ball and inducing an equal and opposite charge on the car. If a car has a 1000 kg mass and the ball is to be able to lift it from a distance of 1.00 m: (a) What minimum charge must be used? (b) What is the electric field near the surface of the ball? (c) Why are these results unreasonable? (d) Which premise or assumption is responsible?” is broken down into a number of easy to follow steps, and 84 words. Since the solution to 66PE from 18 chapter was answered, more than 340 students have viewed the full step-by-step answer.

Unlock Textbook Solution