Two objects are connected by a light string passing over a light

Two objects (m1 = 5.00 kg and m2 = 3.00 kg) are connected by a light string passing over a light, frictionless pulley as in the figure. The 5.00-kg object is released from rest at a point h = 4.00 m above the table. (a) Determine the speed of each object when the two pass each other. (b) Determine the speed of each object at the moment the 5.00-kg object hits the table. (c) How much higher does the 3.00-kg object travel after the 5.00 kg object hits the table?

[MotherOfPearloop]

Why do we not consider the force of tension when solving this problem?

[duyquangbui]

In part c, do we need to cancel out the mass of object 2 before we calculate the maximum height of the object 2 when the object 1 to contact to the table?

[zarandiaryana]

quick question, If the weight of the masses were switched (lets say m1 is lower than m2) does the formula you used change? or does anything change in that matter?

[princevegeta]

Thank you so much! This was really helpful!

[josephfecarotta]

the formula he came up with is incorrect for the final v² = 2 (m1 - m2) g h / (m1 + m2)
this is the correct manipulation.

[coletadlock]

You forgot to take the square root of the velocity after you plugged in the values! V is 1.77 m/s not 3.13 m/s.