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

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

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  1. 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 3.2 seconds

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

 

  1. 45 kg cart travelling at 24 m/s collides with the stationary 28 kg cart after the collision 45 kg cart continues forward with the speed of 12 m/s 

a.) what is the speed of the 28 kg cart after the collision

b.) calculate the impulse delivered to the 45 kg cart

 

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  1. Mass of car, m= 950 kg

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

 

  1. Mass of cart 1 , m1= 45 kg

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