A vehicle of 1000 kg is moving at a speed of 72 km/hr. It is stopped by applying brakes within 5 seconds. Calculate the retardation of the vehicle, the distance travelled by the vehicle after applying the brakes in 5 seconds and the amount of retarding force to stop the vehicle.
[Ans: -4 m/s2,50 m, -4000N]
Answers
Answer:
-4m/s,-4000N
Explanation:
lets take retardation as nagetive acceleration
as you know acceleration is equals to v minus u divided by t
so here you is equals to to 72 kilometre per hour and b is equal to zero v is equal to zero because it applies break and time is equals to 5 seconds so after solving we may get -4 metre per second squareso now we have to calculate the force force is equals to mass in to acceleration mass is given 1000 kg and acceleration we took out - 4 metre per second square so after solving we get - 4000 Newton
Initial velocity(u) = 72*1000/60*60
= 20m/s
mass(m)= 1000kg
time(t)=5second
final velocity(v)=0m/s
retradation(-a)=v-u/t
( -a)=-20/5
(-a)= -4m/s^2
distance(s)=ut+1/2at^2
(s)= 20*5+1/2*(-4)*5*5
(s)=50m
force(f)=ma
(f)=1000*(-4)
(f)=-4000N