a car is moving with a velocity of 72 kilometre per hour and it takes 5 seconds to stop after the brakes are applied calculate the force exerted by the brakes on the car is mass along with the passenger is 1500 kg
Answers
Explanation:
GIVEN:
A CAR IS MOVING WITH A VELOCITY OF 72 KM/H AND IT TAKES 5 SECONDS TO STOP AFTER BRAKES ARE APPLIED.
THEREFORE;
INITIAL VELOCITY =72 KM/H=72×5/18 =20 M/S.
FINAL VELOCITY =0 M/S.
TIME TAKEN= 5 SECONDS
MASS OF CAR=1500 KG.
TO FIND:
FORCE EXERTED BY THE BRAKES.
FORMULAS USED:
☆A=V-U/T.
☆F= M ×A=MA.
WHERE,
A=ACCELERATION
V=FINAL VELOCITY.
U=INITIAL VELOCITY
T=TIME TAKEN.
F=FORCE.
M=MASS.
SOLUTION:
FIRST CALCULATING ACCELERATION BY USING FORMULA:
=A=V-U/T=0-20/5=-20/5= -4 M/S^2.
NOW CALCULATING FORCE USING FORMULA:
F=MA
=1500×(-4)=6000 NEWTON.
HENCE FORCE APPLIED BY THE BRAKES IS 6000 N.
Answer:
6000 newtons
Explanation:
First of all the quantities given in the question is initial velocity, time and mass.
V(Final Velocity) = 0 Since brakes are used.
u(Initial Velocity) = 72kmph when converted into SI units 20 m/s
t (time taken) = 5 seconds
m(Mass) = 1500kg
F = ma
v=u+at
a(acceleration) = v-u/t
a= 0-20/5
= -20/5
= -4 m/s
'a' came in negative because car is deccelerating.
F = ma
= 1500kg x -4m/s
F = -6000 Newtons
F came negative because car breaks are against to the speed of car's motion.