1e) Problem 6: A toy car\'s (mn 0.57 kg) battery produces AV-14 V.The motor draw

Question

1e) Problem 6: A toy car's (mn 0.57 kg) battery produces AV-14 V.The motor draws a current of 1 -0.11 A. D A starting from rest. 33% Part (a) Assuming friction is negligible, how fast is the car traveling after a time r? Express your solution as an equality with the car Potential 100% (26 per attempt) detailed view 0 I give up! Submit Hint 2 Feedback: 0% deduction per feedback. Hints:--deduction per hint. Hints remaining: A 33% Part (b) what is the resistance of the circuit in the car in O? 33% Part (c) What is the velocity after 10 seconds in m/s? All

Explanation / Answer

Part A

Using Work-energy theorem:

W = dKE

W = 0.5*m*Vf^2 - 0.5*m*Vi^2

Vi = 0 m/sec

Vf = sqrt (2*W/m)

Now Power in circuit will be

P = W/t Also

P = dV*i

dV*i = W/t

W = dV*i*t

Vf = sqrt (2*dV*i*t/m)

Part B

Using ohm's law:

V = i*R

R = 14/0.11 = 127.27 ohm

Part C

at t = 10 sec

W = 14*0.11*10 = 15.4 J

So

Vf = sqrt (2*15.4/0.57)

Vf = 7.35 m/sec

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