Question

A car with a mass of 800 kg moves at a speed of 60 km / h. What is the force, if the movement is evenly accelerated and lasted 20 seconds?

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Answer 1

Given :-

A car with a mass of 800 kg moves at a speed of 60 km/h.

The movement evenly accelerated and lasted 20 seconds.

To Find :-

What is the force.

Formula Used :-

$\boxed{\bold{\large{v\: =\: u\: +\: at}}}$

$\boxed{\bold{\large{Force\: =\: m \times a}}}$

where,

v = Final velocity

u = Initial velocity

a = Acceleration

t = Time

F = Force

m = Mass

Solution :-

❶ First, we have to find the acceleration,

Given :

✦ Final velocity = 60 km/h = 60 km/s = 60 \times

$\dfrac{5}{18}$

✦ Initial velocity = 0 m/s

✦ Time = 20 seconds

According to the question by using the formula we get,

⇒ 16.67 = 0 + a × 20

⇒ 16.67 = 20a

⇒

$\dfrac{16.67}{20}$

= a

⇒ 0.84 = a

➠ a = 0.84 m/s

❷ Now, we have to find the force,

Given :

✦ Mass = 800 kg

✦ Acceleration = 0.84

According to the question by using the formula we get,

➟ Force = 800 × 0.84

➥ Force = 672 N

∴ The force of a car is 672 N .