An electric toy car with a mass of #3 kg# is powered by a motor with a voltage of #7 V# and a current supply of #5 A#. How long will it take for the toy car to accelerate from rest to #2 m/s#?

Answer 1

The time is #=0.17s#

Voltage is #U=7V#
Current is #I=5A#

The power is

#P=UI=7*5=35W#
Velocity is #v=2ms^-1#
Mass is #m=3kg#

The kinetic energy is

#KE=1/2mv^2=1/2*3*(2)^2=6J#

But,

#E=P*t#
The time is #t=E/P=(6)/35=0.17s#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To find the time it takes for the toy car to accelerate from rest to 2 m/s, we can use the formula for acceleration:

a=Fma = \frac{F}{m}

where a a is the acceleration, F F is the force, and m m is the mass.

The force F F can be calculated using the formula:

F=IVF = I \cdot V

where I I is the current and V V is the voltage.

Then, we can use the formula for acceleration:

a=Fma = \frac{F}{m}

to find the acceleration.

Next, we can use the formula for uniform acceleration:

v=u+atv = u + at

where:

  • v v is the final velocity (2 m/s),
  • u u is the initial velocity (0 m/s),
  • a a is the acceleration (which we found earlier), and
  • t t is the time.

Now, we can rearrange the formula to solve for t t :

t=vuat = \frac{v - u}{a}

Substitute the known values into the equation and solve for t t to find the time it takes for the toy car to accelerate from rest to 2 m/s.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

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.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7