Calculate the acceleration of the two masses shown in the picture above. A. 0.77 m/s^2
B. 3.92 m/s^2
C. 8.62 m/s^2
D. 5.91 m/s^2

Hello!

We can begin by summing the forces acting on each mass. (Tension is CONSTANT because the string is both frictionless and massless).

On the 3 kg block: (Ignore forces acting in the vertical direction since there is no motion in that axis)

∑F = -M₁gsinФ + T

On the 8 kg block:

∑F = -T + M₂g

Sum the forces:

∑F = -M₁gsinФ + T -T + M₂g

∑F = -M₁gsinФ + M₂g

Divide by both masses to get the acceleration:

Plug in values: (g = 10m/s²)

force required to detach it is given by

charges are taken to be fundamental charge

now we have

so above is the minimum distance at which it will detach

moisture is lackin, and organic acids are scarce.