An electric toy car with a mass of $6 kg$ is powered by a motor with a voltage of $9 V$ and a current supply of $3 A$ . How long will it take for the toy car to accelerate from rest to $8/3 m/s$ ?

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Answer 1 · 2017-08-29T14:30:28

The time is $=0.79s$

The power is

$P=UI$

The voltage is $U=9V$

The current is $I=3A$

The power is

$P=UI=9*3=27W$

The kinetic energy of the car is

$E=1/2mv^2$

The mass is $m=6kg$

The speed is $v=8/3ms^-1$

so,

$E=1/2*6*(8/3)^2=64/3J$

Let the time $=(t)s$

$E=Pt$

$t=E/P=(64/3)/27=0.79s$

An electric toy car with a mass of 6 kg6 kg is powered by a motor with a voltage of 9 V9 V and a current supply of 3 A3 A. How long will it take for the toy car to accelerate from rest to 8/3 m/s8/3 m/s?