If you were standing in a bus moving at a constant velocity would you have to lean in a certain way to comp...

Question

If you were standing in a bus moving at a constant velocity would you have to lean in a certain way to compensate for the bus's motion? What is teh bus were accelerating?

Answer 1

The bus' constant motion will have also imparted momentum to your body, so, no leaning would be required..

If the bus were still accellerating, then, yes, you'd have to lean as long as there was till accellaration taking place.

Think of it another way. If you were sitting on a bus with a constant velocity, would you still be pressed against the seat back? If the bus were accellerating, would you be pressed back?

Answer 2

No lean required when v = constant; because p = mv, which is momentum. The change in momentum over time is called force.

Thus force = f = dp/dt = d(mv)/dt = dm/dt v + m dv/dt = m dv/dt = ma; where dm/dt = the rate of change in your mass = 0 and dv/dt = a acceleration acting on your mass m.

So when v = constant, the change in velocity over time, dv/dt = 0, too; so we have dp/dt = f = m dv/dt = 0 = ma; so that acceleration is zero and force is zero. When there is no force because there is no change in velocity, there is nothing to lean against.

On the other hand, if you have f = m dv/dt and there is a change in velocity dv/dt = a <> 0, then we have f = ma <> 0 since mass is always > 0. In other words, when there is acceleration, there will be force. And when there is force, you will need to lean into it or risk being upended.

Answer 3

if the bus has constant velocity u wouldnt cuz when it's constant it's like if it's not moving at all

the second one, if the aceleration is not constant u probably would