A car weighing 900 kg moving with a velocity of 20 metre per second is uniformly accelerated with an acceleration of 2m per second for 10 seconds calculate work done and force required to accelerate the car.
Answers
force = 1800 N and workdone = 5.4 × 10^5 J
mass of car, m = 900 kg
initial velocity of car, u = 20 m/s
acceleration of car , a = 2m/s²
we have to find force required to acceleration this car and workdone after time t = 10s.
force = mass × acceleration.
so, force required to acceleration the car , F = 900kg × 2m/s² = 1800 N
workdone = force displacement.
so, we have to find displacement.
using formula, s = ut + 1/2 at²
= 20 × 10 + 1/2 × 2 × (10)²
= 200 + 100
= 300m
so, workdone = 1800 N × 300 m
= 540000 J
= 5.4 × 10^5 J
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mass of car, m = 900 kg
initial velocity of car, u = 20 m/s
acceleration of car , a = 2m/s²
we have to find force required to acceleration this car and workdone after time t = 10s.
force = mass × acceleration.
so, force required to acceleration the car , F = 900kg × 2m/s² = 1800 N
workdone = force displacement.
so, we have to find displacement.
using formula, s = ut + 1/2 at²
= 20 × 10 + 1/2 × 2 × (10)²
= 200 + 100
= 300m
so, workdone = 1800 N × 300 m
= 540000 J
= 5.4 × 10^5 J