Asked by Yoyo
A 2000 kg car is rolling at 3 m/s. You would like to stop the car by firing a 10 kg blob of sticky clay at it. How fast should you fire the clay? How much energy is required to accelerate the
clay to this speed?
clay to this speed?
Answers
Answered by
Mia
to stop a moving object, a force with the same magnitude should be applied at opposite direction.therefore:
momentum of car + momentum of clay = 0
momentum of car = - momentum of clay
mass of car x speed of car = mass of clay x speed of clay
speed of clay = (mass of car x speed of car) / mass of clay
speed of clay = 2000kg x 3m/s / 10kg
=600m/s
kinetic energy = momentum^2 / 2mass
=6000^2/2(10)
= 1.8 x 10^6 J
momentum of car + momentum of clay = 0
momentum of car = - momentum of clay
mass of car x speed of car = mass of clay x speed of clay
speed of clay = (mass of car x speed of car) / mass of clay
speed of clay = 2000kg x 3m/s / 10kg
=600m/s
kinetic energy = momentum^2 / 2mass
=6000^2/2(10)
= 1.8 x 10^6 J
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