Q6. Calculate the force exerted by the brakes on the motorcar which is moving with a velocity of 72 km/h and takes 5 s to stop after the application of brakes. Mass of the motorcar along with the passengers is 800 kg. Pls Pls help me out of this question Pls
Answers
Explanation:
Given:
A motorcar is moving with a initial velocity of 72 km/h and it takes 5 seconds to stop after the application of brakes.
Therefore,
u=72 km/h=72×5/18 m/s=20 m/s.
t=5 secs.
v=0 m/s.
To find:
Force exerted by the brakes on the motor car of mass 800 kg .
Formula used:
A=v-u/t.
F=m×a
Solution:
First we need to find acceleration;
A=v-u/t=0-20/5=-4 m/s^2.
Now force exerted by the brakes;
F=m×a
=800×4=-3200 N.
Given :-
☄ lnitial velocity, u = 72km/hr = 20m/s
☄ finial Velocity, v = 0m/s
☄ time taken, t = 5s.
☄ Mass, m = 800kg.
To find :-
the force exerted by the brakes on the motorcar
Solution :-
Using equation of motion .i.e.,
➠ v = u + at
➠ 0 = 20 + (a)(5)
➠ a = -20/5
➠ a = -4m/s²
|| -ve sign detects that the body is Retarding ||
we know that,
➠ F = ma
➠ F = (800)(4)
➠ F = 3200N
thus, the force exerted by the brakes on the motorcar is 3200N.
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