Calculate the force required to impart a car a velocity of `30m//s`, in 10 seconds. The mass of the car is `1500kg`

Options

A. `1000N`
B. `4500N`
C. `3000N`
D. `6500N`

Answer

B

Explanation

Here, Mass, m = 1500 kg
Let us calculate the value of acceleration by using the first equation of motion.
Now, Initial velocity, u = 0 (Car starts from rest)
Final velocity, v = 30 m/s
And Time taken, t = 10s
Now, putting these values in the equation:
v=u+at
We get, `30 = 0+axx 10`
10a=30
`a=30/10m//s^(2)`
or Acceleration,a=3m/`s^(2)`
Now, putting m=1500 kg and a=3 m/`s^(2)` in equation:
`F=mxxa`
We get, F= 1500 `xx` 3 N
= 4500 N
Thus, the force required in this case is of 4500 newtons.