Answer #135

Part 1:

The answer is (c): 2.00 seconds, as can be seen by clicking your mouse on the photograph below (well, almost).

The equation to determine how far an accelerated body moves as a function of time is:

x = (1/2)a t2.

where a is the acceleration.

The time for the accelerating body M to move the distance D between the two photocell gates due to the gravitational force on m is given by:

t = sqrt [2DM / mg] = t0,

where g is the acceleration of gravity. Substituting 2M for M and 2m for m yields approximately t = t0 or 2.00 seconds, reasonably close to the value obtained in the video.

Part 2:

The answer is (d): 2.00 seconds, as can be seen by clicking your mouse on the photograph below.

The equation to determine how far an accelerated body moves as a function of time is:

x = (1/2)a t2.

where a is the acceleration.

The time for the accelerating body M to move the distance D between the two photocell gates due to the gravitational force on m is given by:

t = sqrt [2 DM / mg] = t0,

where g is the acceleration of gravity. Substituting D/2 for D and 2M for M, the factors of two cancel each other, yielding t = t0 or approximately 2.00 seconds, reasonably close to the value obtained in the video.


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