Abumper car with mass m1 = 103 kg is moving to the right with a velocity of v1 = 5 m/s. a second bumper car with mass m2 = 81 kg is moving to the left with a velocity of v2 = -3.3 m/s. the two cars have an elastic collision. assume the surface is frictionless. what is the final velocity of car 1 in the ground (original) reference frame?

The final velocity of car 1 in the center-of-mass reference frame is- 2.308 m/s

Explanation:

For elastic collisions, the relative velocity of each mass in relation to the center of mass will be equal in magnitude but opposite in direction for each mass. (relative to the center of mass)

The velocity of the center of mass = [m1v1 + m2v2] / [m1 + m2] = [103*5 + 81(-3.3)] / 184 = 1.346 m/s (to the right)

The conservation law of  momentum says that the centre of mass velocity remains the same after impact.

If we assume that Right is the positive direction , then the initial velocity of car 1 in the center-of-mass reference frame is:

= 5 - 1.346 = 3.654 m/s

this velocity would appear to be in the positive direction

The final velocity of car 1 in the center-of-mass reference frame is the initial velocityo of car 1, reversed.

= - 3.654 m/s )

The final velocity of car 1 in the center-of-mass reference frame: is then :

-3.654 + 1.346 = -2.308 m/s

a high pressure system is a dense air mass that is usually cooler and drier than the surrounding air. a low pressure system is a less dense air mass that is usually wetter and warmer than the surrounding air.

in general, areas that experience high atmospheric pressure also experience fair weather. low pressure systems can cause the formation of clouds and storms. air usually flows from areas of high pressure to areas of low pressure..

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