Question

Calculate the force required to impart a velocity of 30 m/s in 10.0s to a car. The mass of the car is 1500 kg.​

Answer 1

Force Required = 4500 N

Explanation:

Given:

• Mass of car (m) is 1500 kg.
• Initial velocity (u) is 0 m/s.
• Final velocity (v) is 30 m/s.
• Time (t) is 10 seconds.

To Find:

• What is force required ?

Formula to be used:

• Force = mass × acceleration

Solution: As we know that formula for acceleration is

a = (v – u/t)

Now substituting the values in formula

$\implies{\rm }$ F = ma

$\implies{\rm }$ m(v – u/t)

$\implies{\rm }$ 1500(30 – 0/10)

$\implies{\rm }$ 1500(30/10)

$\implies{\rm }$ 1500 × 3

$\implies{\rm }$ 4500N

Hence, the required force will be 4500 Newtons.

Answer 2

Answer:

4500 N

Explanation:

Say the car is at rest, then initial velocity, u=0

Speed that has to be attained by the car in t=10s is v=30 m/s

For uniform acceleration,

$a=\frac{v-u}{t}=\frac{30-0}{10}=3 ms^{-2}$

Mass, m = 1500 kg.

Force, F= M a

             = 1500*3=4500 N

Thus a force of 4500 newtons has to be exerted on the car.

Hope it helps!

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