A 1200kg car is moving on the freeway at 66.0mph. What is the magnitude of its m

Question

A 1200kg car is moving on the freeway at 66.0mph. What is the magnitude of its momentum in SI units? What is the magnitude of its kinetic energy in SI units? If a 2400kg SUV has the same speed as the 1200kg car, how muchmomentum does it have? If a 2400kg SUV has the same speed as the 1200kg car, how muchkinetic energy does it have? A 1200kg car is moving on the freeway at 66.0mph. What is the magnitude of its momentum in SI units? What is the magnitude of its kinetic energy in SI units? If a 2400kg SUV has the same speed as the 1200kg car, how muchmomentum does it have? If a 2400kg SUV has the same speed as the 1200kg car, how muchkinetic energy does it have?

Explanation / Answer

    Mass of the car, M = 1200 kg     Velocity of the car, V = 66 mph                                     = 66 / 2.24 m/s                                     = 29.5 m/s (a)     Magnitude of the momentum, P = M V          = 1200 *29.5          = 35400 kgm/s (b)     Magnitude of kinetic energy, E = ( 1/2 ) MV2                                                   = 0.5 * 1200 * 29.5 2                                                   = 522150 J (c)     Mass, M' = 2400 kg     Magnitude of momentum, P' = M' V                                               = 2400 * 29.5                                               = 70800 J (d)     Magnitude of kinetic energy, E' = ( 1/2 ) M'V2                                                                     = 0.5 * 2400 * 29.52                                                   = 1044300 J

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