The velocity vector V1 has a magnitude of 5.0 m/s and is directed along the +x-axis....

The velocity vector V1 has a magnitude of 5.0 m/s and is directed along the +x-axis. The velocity vector V2 has a magnitude of 4.0 m/s. The sum of the two is V3, so that V3 = V1+V2 Either True or false : The magnitude of V3 can be 9.0 m/s The x-component of V3 can be 5.0 m/s The magnitude of V3 can be -6.0 m/s The magnitude of V3 can be 5.0 m/s The magnitude of V3 can be 10.0 m/s The magnitude of V3 can be 0.0.

Expert Solution

-The magnitude of V3 can be 9.0 m/s. This is True as given the case that V2 is also directed along the plus x-direction, the addition would give 9.0 for the magnitude of V3.

-The x-component of V3 can be 5.0. Again this is aslo true as V2 would only have had a y-component in this case.

-The magnitude of V3 can be -6.0 m/s. False, because magnitudes are always positive. Only the vector components can be either negative or positive.

-The magnitude of V3 can be 5.0 m/s. False as any linear combination between V1 and V2 will lead to a magnitude which is larger than 5 since V1 is already 5 and V2 is already 4 IN MAGNITUDES.

-The magnitude of V3 can be 10.0 m/s. False. The maximun value that V3 can have in magnitude is 9, that is when both vectors point out in the same direction.

The magnitude of V3 can be 0.0. False, since V2 would have to be at least 5 in magnitude and pointing out in the opposite direction of V1.

genius_generous answered 6 months ago

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