Whenever an interaction occurs in a system, forces occur in equal and opposite p

Question

Whenever an interaction occurs in a system, forces occur in equal and opposite pairs. Which of the following do not always occur in equal and opposite pairs? What does the scale read? A mass slides with negligible friction on a circular track, of 1.0 m radius oriented horizontally on a flat table. Its speed at position A was 3013 m/s and its speed at the position B 0.35s later is 2.25 m/s. Calculate the centripetal acceleration of the mass, at point B. Then in the box below, place a letter corresponding to the arrow representing the direction of the centripetal acceleration. Calculate the tangential acceleration of the mass, if any at point B. Then in the box below, place a letter corresponding to the arrow representing the direction of the tangential acceleration. Calculate the total acceleration of the mass, at point B. Then in the box below, place a letter corresponding to the arrow representing the direction of the total acceleration. Is this an example of uniform circular motion or non-uniform circular motion? Explain.

Explanation / Answer

A.)
Radial Acceleration , ar = v^2/r = 2.25^2/1 = 5.0625 m/s^2

B.)
The magnitude of tangential acceleration = d||v||/dt.
aT = (2.25 - 3.13) / 0.35 * r = -2.51 m/s^2

C.)
A = sqrt(ar^2 + at^2)
A = sqrt(5.0625^2 + 2.51^2) m/s^2
A = 5.65 m/s^2

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