A car has the same kinetic energy when it is traveling south at 30 m/s as when it is traveling northwest as when it is traveling northwest at 30 m/s. Is the momentum of the car the same in both cases

Explanation:

Kinetic energy is a scalar quantity and momentum is a vector quantity . Therefore , kinetic energy will remain unchanged even when the velocity changes direction if its magnitude remains same . But momentum will not remain same if direction  of velocity is changed even if magnitude remains unchanged.

In the given problem , magnitude of velocity remains unchanged but its direction has changed so its momentum will also change. A force must be acting on the car.

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the tires are rotating at 0.434 rpmlinear speed=45 m/sdiameter=0.550 mradius=0.275 mnow v= rωω= v/rω=45/0.275ω=163.6 rad/sω=163.6 rad/s (1rev/2π rad) (60s/1m)ω=1563 rpm