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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}}}v=u+at
\boxed{\bold{\large{Force\: =\: m \times a}}}Force=m×a
where,
v = Final velocityu = Initial velocitya = Accelerationt = TimeF = Forcem = MassSolution :-
❶ First, we have to find the acceleration,
Given :
✦ Final velocity = 60 km/h = 60 km/s = 60 \times \dfrac{5}{18}60×185 m/s = 16.67 m/s
✦ 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}2016.67 = 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\therefore∴ The force of a car is 672 N .
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