- #1

Monsterboy

- 303

- 96

- Homework Statement
- The accelerations of a particle as seen from two frames S1 and S2 have equal magnitude ##4 m/s^2##.

(a) The frames must be at rest with respect to each other.

(b) The frames may be moving with respect to each other but neither should be accelerated with

respect to the other.

(c) The acceleration S2 with respect to S1 may either be zero or ##8 m/s^2##.

(d) The acceleration of S2 with respect to S1 may be anything between zero and ##8 m/s^2##.

- Relevant Equations
- ## v_{P,S^1} = v_{P,S^2} + v_{S^1,S^2} ## Velocity of the particle with respect to the frames and velocity of one frame with respect to another.

## a_{P,S^1} = a_{P,S^2} + a_{S^1,S^2} ## Acceleration of the particle with respect to the frames and acceleration of one frame with respect to another.

The correct option is given as (d)

I think I am able to visualize the problem but not able to put it in the equations shared above.

If the the two frames are moving away from the particle at ##4 m/s^2## in opposite directions we get the acceleration between the frames as ##8 m/s^2##.

Substituting in the above equation for acceleration, we get 4 = -4 + 8, is this right ?

If the two frames are moving at constant velocity in opposite directions we get 4 = 4 + 0 right ? from the above equation for acceleration.

When the two frames are moving away from the particle at ##4 m/s^2## at any angle other than ## 180^0 ## or zero degrees, how do I represent that in an equation ?

I think I am able to visualize the problem but not able to put it in the equations shared above.

If the the two frames are moving away from the particle at ##4 m/s^2## in opposite directions we get the acceleration between the frames as ##8 m/s^2##.

Substituting in the above equation for acceleration, we get 4 = -4 + 8, is this right ?

If the two frames are moving at constant velocity in opposite directions we get 4 = 4 + 0 right ? from the above equation for acceleration.

When the two frames are moving away from the particle at ##4 m/s^2## at any angle other than ## 180^0 ## or zero degrees, how do I represent that in an equation ?

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