A motorcar of mass 1200kg is moving a straight line at a velocity of 90km/h its velocity is decrease to 18km/h in 4 sec by applying unbalanced force. calculate the acceleration, change in momentum and magnitude of the force required
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Given :
mass = 1,200 kg .
initial velocity = 90 km/hr
= 90 × 5/18 m/s
= 5 ×5 m/s
= 25 m/s
final velocity = 18 km/hr
= 18 × 5/18 m/s
= 5 m/s
Acceleration
a = ( v - u ) / t
= > a = ( 25 - 5 ) / 4
= > a = 20 / 4
= > a = 5 m/s²
Change in momentum = m ( v - u )
= 1200 kg ( 25 - 5) m/s
= 1200 kg × 20 m/s
= 24,000 kg m/s
Force
Force = mass × acceleration
= 1200 kg × 5 m/s²
= 6,000 N
The force is 6,000 N
Anonymous:
because first velocity was 90 then it decreased finally to 18 km/hr
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