question archive A physics student drives a car of total mass of 950 kg and velocity of 25 m/s she sees a SpeedZone Ahead in slows down to a new velocity of 17 m/s in a time of 3
Subject:PhysicsPrice:4.86 Bought8
a.)determined the original momentum up the car
b.)what impulse was applied to the car c.) calculate the size of force acting on the car
a.) what is the speed of the 28 kg cart after the collision
b.) calculate the impulse delivered to the 45 kg cart
initial velocity, u= 25 m/s
final velocity, v= 17 m/s
time, t= 3.2 s
a) Original Momentum of car, p= mu
p =950*25
p =23,750 kg.m/s
b) Impulse= Change in momentum
Impulse= m(v-u)
Impulse= 950 (17-25)
Impulse= 950*(-8)
Impulse= 7600 kg.m/s or Ns
c) Force= impulse/time
Force= 7600/ 3.2
Force= 2375 Newton
initial velocity of cart 1, u1= 24 m/s
Mass of cart 2 , m2= 28 kg
initial velocity of cart 2, u2= 0 m/s
final velocity of cart 1, v1= 12 m/s
final velocity of cart 2, v2= ?
a) As per Conservation of momentum,
m1u1+ m2u2= m1v1+ m2v2
45*24 + 28*0 = 45*12 + 28* v2
1080= 540 + 28* v2
540= 28* v2
v2= 30 m/s (final velocity of cart 2)
(b) Impulse to cart 1
Impulse= Change in momentum
Impulse= m1(v1-u1)
Impulse= 45(12-24)
Impulse= 45*(-12)
Impulse= -540 kg. m/s