A motorcycle is moving with a velocity of 90km/hr and it takes 5sec. to stop after the brakes are applies calculate the force exerted by the brakes on the motorcycle it's mass along the rider is 200 kg .
Answers
initial velocity = 90km/hr
final velocity = 0km/hr
mass = 200kg
time = 5s
force = ma = m(v-u)/t = 200(0-90)/5 = -3600N
Answer:
Answer:
Given :-
A motorcycle is moving with a velocity of 90 km/h and its takes 5 seconds to stop after the brakes are applied and its mass along the rider is 200 kg.
To Find :-
How much force exerted by the brakes on the motorcycle.
Formula Used :-
❶ To find acceleration we know that,
✦ a = v - u/t ✦
where,
v = Final velocity
u = Initial velocity
a = Acceleration
t = Time
❷ To find force we know that,
❖ F = ma ❖
where,
F = Force
m = Mass
a = Acceleration
Solution :-
❶ First we have to find the acceleration,
Given :
v = 0 m/s
u = 90 km/h = 90 × 5 ÷ 18 m/s = 25 m/s
t = 5 seconds
According to the question by using the formula we get,
⇒ a = 0 - 25/5
⇒a = - 25/5
➠ a = - 5 m/s²
Hence, acceleration is - 5 m/s² .
❷ Now we have to find the force,
We get,
Mass = 200 kg
Acceleration = - 5 m/s
According to the question by using the formula we get,
↦ F = 200 × - 5
➥ F = - 1000 N
∴ The force exerted by the brakes on the motorcycle is - 1000 N .