a body of mass 10 kg starting from rest accelerats uniformly to a speed metre per second brakes are applied and the body stops in next 5 seconds. the retarding force on the body is
Answers
Answer:
A car of mass 480 kg moving at a speed of 15m/s is stopped by applying brakes in 10s. Calculate the force applied by the brakes.
Step-by-step explanation:
720 N
given that,
A car of mass 480 kg moving at a speed of 15m/s
here,
mass of car = 480 kg
initial velocity of car = 15 m/s
and
also given that,
the car stopped by applying brakes in 10s.
so,
final velocity = 0
time to stop car by brakes = 10 seconds
now,
we have
final velocity(v) = 0
initial velocity(u) = 15 m/s
time(t) = 10 seconds
acceleration(a) = (v - u)/t
putting the values,
a = (0 - 15)/10
a = -15/10
a = -1.5 m/s²
negation of the acceleration shows the retardation
now,
by the newtons 2nd law of motion
F = Ma
where,
F = force
M = mass
a = acceleration
given,
mass of the car = 480 kg
acceleration = -1.5 m/s²
putting the values,
F = Ma
F = 480(-1.5)
F = -720 N
negation of the Force shows the motion of the body opposite the force
so,
force applied by brakes to stop the car moving with the velocity 15 m/s in 10 seconds = 720 N
Answer:
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Step-by-step explanation:
A body of mass 10kg starting from rest, accelerates uniformly to a speed of 30m//s in 10s. Brakes are applied and the body stops in next 5 seconds, (figure). Calculate the accelerating force and the stopping force. ∴ Retarding force F=ma=10(-6)=-60N.