Discover Maximum Height of 2.40kg Object in Pulley System

In summary, the two objects with masses 6.00 kg and 2.40 kg hang from a cord above the floor. When released, the 6 kg mass will hit the ground and the 2.4 kg mass will be pulled up. The maximum height reached by the 2.4 kg mass will be greater than 0.5 m due to its upward velocity.
  • #1
nimboman
12
0
Two objects with masses 6.00 kg and 2.40 kg hang 0.500 m above the floor from the ends of a cord 5.30m mlong passing over a frictionless pulley. Both objects start from rest.

Find the maximum height reached by the 2.40kg object.
 
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  • #2
this question doesn't make sense. since both weights are at the same height above the floor. when its released, the objects will move in the direction of the force provided by the 6kg weight. so the 6 kg mass will hit the ground and the 2.4kg mass will be pulled up. since the height is 0.5m initially, isn't the maximum height 0.5m?

need help!
 
  • #3
No. The 2.4 kg mass has some upward velocity when the heavier mass hits the ground. It will rise further like a stone thrown up.

ehild
 

FAQ: Discover Maximum Height of 2.40kg Object in Pulley System

How does the height of a pulley affect its mechanical advantage?

The height of a pulley does not directly affect its mechanical advantage. The mechanical advantage of a pulley is determined by the number of ropes supporting the load, not the height of the pulley itself.

Can changing the height of a pulley change the amount of force needed to lift a load?

Yes, changing the height of a pulley can change the amount of force needed to lift a load. The higher the pulley is placed, the less force is needed to lift the load. This is because the higher pulley reduces the amount of friction and increases the mechanical advantage.

Is there an optimal height for a pulley to achieve maximum mechanical advantage?

No, there is not an optimal height for a pulley to achieve maximum mechanical advantage. The mechanical advantage of a pulley is determined by the number of ropes supporting the load, so as long as the pulley is used in a way that supports the load with multiple ropes, the height does not significantly impact the mechanical advantage.

How does the height of a pulley affect the velocity of the load?

The height of a pulley does not directly affect the velocity of the load. However, using a higher pulley can reduce the friction and make it easier to pull the load, resulting in a faster velocity.

Can the height of a pulley affect the direction of the force applied to lift a load?

No, the height of a pulley does not affect the direction of the force applied to lift a load. The direction of the force is determined by the direction the rope is pulled, not the height of the pulley.

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