Question

Assuming 95.0% efficiency for the conversion of electrical power by the motor, what current must the...

Assuming 95.0% efficiency for the conversion of electrical power by the motor, what current must the 12.0-V batteries of a 728-kg electric car be able to supply to do the following?

(a) accelerate from rest to 25.0 m/s in 1.00 min
A

(b) climb a 200-m high hill in 2.00 min at a constant 25.0 m/s speed while exerting 443 N of force to overcome air resistance and friction
A

0 0
Add a comment Improve this question Transcribed image text
Answer #1

3)gain in energy in 1 min ( 60 sec ) = mv^2 /2

Also, Power required = E/t

= 0.5 mv^2 / t

= 0.5*728*25^2/60

= 3791.67 W

Since efficiency for the conversion of electrical power by the motor = 95.0%

Therefore , P = 0.95 VI

3791.67 = 0.95*12*I

I = 332.6 A

so the current is 332.6 A

b)

height,h = 200 m

L = 120 sec x 25 = 3000 m

Work done,W = 3000 x 443 + 728 x 9.81 x 200 = 2757336 J

P = rate of doing work = W/t = 22977.8

12 * I * 0.95 =22977.8

I = 2015.596 A

Add a comment
Know the answer?
Add Answer to:
Assuming 95.0% efficiency for the conversion of electrical power by the motor, what current must the...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT