Posted by **Ian** on Thursday, October 15, 2009 at 8:10pm.

Question:

Two masses 2.2 Kg and 3.2 Kg connected by a rope over a massless and frictionless pulley hang at 1.8 m above the ground on either side of the pulley. The pulley is 4.8 m above the ground. What is the maximum height that the 2.2 Kg weight will rise to after the system is released.

Work so far:

A= ((m2-m1)/(m2+m1))* 9.8 = 1.81 m/sec^2

So in one second the 3.2 Kg weight is going to fall to the ground and via the rope pull the 2.2 Kg weight up to 3.6 m but it will have an initial acceleration of -1.81 m/sec and so will travel higher than 3.6 m(1.8m + 1.8m).

Gravity is pulling down on 2.2 Kg weight at 9.8 m/sec^2.

How do I know how to find the height the 2.2 Kg weight rises to given its initial acceleration of -1.81 m/sec^2.

The answer is 3.94 m

Thank you - I hope the problem description is clear.

- Physics -
**MathMate**, Thursday, October 15, 2009 at 8:30pm
"So in one second the 3.2 Kg weight is going to fall to the ground "

Not so fast, it starts from rest!

Find out the velocity of the masses when the heavier weight hits the ground, call this v0.

From this moment on, the lighter weight becomes a projectile with an initial velocity of v0 and decelerated by gravity. You can find how much higher it goes and add it onto the 3.6 m already attained.

## Answer This Question

## Related Questions

- Physics - Two masses ( 2.3 kg and 4.2 kg) connected by a massless rope hung over...
- pulley and rotation - Two masses, mA = 35.0 kg and mB = 42.0 kg, are connected ...
- physics - The two masses on either side of the pulley, 2.2 kg and 3.6 kg, are ...
- physics rotations-please help - Two masses, mA = 35.0 kg and mB = 42.0 kg, are ...
- Physics - Two masses, m1=3kg and m2=2kg, are suspended with a massless rope over...
- Physics - Two masses, mA = 40.0 kg and mB = 55.0 kg, are connected by a massless...
- Physics - The two masses shown in the figure are each initially 1.80 m above ...
- Physics - Suppose you have a system of two masses strung over a pulley. Mass 1 (...
- physics - Two masses m and 2m are attached with each other by a rope passing ...
- physics - Consider the system shown in the diagram. The pulley is a uniform ...

More Related Questions