A1500kg automobile travels eastward at speed of 8m/s it makes a 90°turn to the north in a time of 3 s and continues with the same speed find
a) impulse delivered to the car as a result of the turn
b) average force exerted in the car during the turn
c) average force of the car in the road during the turn
Expert's answer
Given:-
The mass of Automobile = 1500 Kg
Angle (θ)=90∘
Initial velocity (U)=8m/s
Time taken (t) = 3 sec.
Now,
Consider the east direction as x-axis then
Initial velocity (U)=8m/s (i) in east-direction
Final velocity (v)=8m/s (j) in north-direction
A) Find the impulse delivered to the car as a result of the turn
Impulse (I) = Change in momentum
Impulse(i)=m(8smi−s8mj)
The magnitude of the in impulse is (I) = m×82+82
=1500×11.313=16970.56 Kg. m/s (North - south direction)
B) Find the average force exerted on the car during the turn.
The average force (F) = tl
=316970.56=5656.85 N
C) Find the average force exerted on the car on the road during the turn.
The average force applied by the car on the road = Force applied by the road on the car
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