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.
Answers
Answer:
V=u - at (negative acceleration due to brakes)
0=15-10a
10a= 15
a=1.5m/s^(2)
F= mass × acceleration
F = 480× 1.5
F = 720 N
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QUESTION:
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.
Explanation:
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 acceleration shows the retardation
now,
by the newton's second law of motion
F = Ma
where,
F = force
M = mass = 480 kg
a = acceleration = -1.5 m/s²
now,
putting values,
F = Ma
F = (480)(-1.5)
F = -720
negation of force represents motion in the opposite direction
so,
force applied by brakes to stop the car in the velocity 15 m/s in 10 seconds
= 720 N