An electric toy car with a mass of #5 kg# is powered by a motor with a voltage of #8 V# and a current supply of #7 A#. How long will it take for the toy car to accelerate from rest to #7 m/s#?
The time is
The power of the motor is
The kinetic energy of the car is
But,
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To find the time it takes for the toy car to accelerate from rest to 7 m/s, you can use the formula ( t = \frac{m \cdot v}{F} ), where ( t ) is the time, ( m ) is the mass of the car, ( v ) is the final velocity, and ( F ) is the force applied. First, calculate the force using the formula ( F = m \cdot a ), where ( a ) is the acceleration. Then, use Ohm's law to find the power ( P ) of the motor, where ( P = V \cdot I ). Finally, use the equation ( P = F \cdot v ) to solve for ( a ). Once you have ( a ), plug it into the first equation along with the given values to find ( t ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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