Question

Calculate the force required to impart a 1500 kg car moving with a velocity of 30 m/s in 10 s

Answer 1

force=1500*3=4500newton

Answer 2

AnswEr:

GivEn:

• Mass (m) = 1500 kg
• Initial velocity (u) = 0
• Final Velocity (v) = 30 m/s
• Time taken (t) = 10 s

To Find:

• Force required to impart a car - ?

Solution:

$\huge\star{\boxed{\sf{ v = u + at}}}$

We can put values here,

$\\ \implies\sf{ 30 = 0 + a \times 10} \\ \\ \implies\sf{ 10a= 30} \\ \\ \implies{\sf{ a = \dfrac{ \cancel{30}^{ \: 3}}{ \cancel{10}} m/s^2 }} \\ \\ \implies\sf{Acceleration (a) = 3 \: ms^{-2} }$

Now,

We have to obtain Required Force:

• Mass (m) = 1500 kg
• Acceleration (a) = 3 m/s²

$\implies\sf{ F = m \times a } \\ \\ \implies\sf{F = 1500 \times 3\:N } \\ \\ \implies\sf{4500 \:N}$

Thus,

The Force required in imparting the moving car is 4500 Newtons.

Extra Dose:

• $\bullet{\boxed{\sf{ Force \propto \dfrac{Change\:in\: momentum}{Time\:taken} }}}$