What is the Impulse Delivered by an Elevator to a Moving Package?

In summary, the elevator lifting a 1200N package at a constant speed for 3 seconds results in an impulse of 3600 Ns delivered to the package by the elevator floor. This is because although the net force and net impulse are both zero, the question specifically asks for the impulse delivered by the floor, which is 3600 Ns upward. This is due to the reaction force of the elevator floor and the weight of the package acting on the body.
  • #1
teenidle
3
0

Homework Statement


Moving at a constant speed, an elevator lifts a 1200N package 10m in 3 sec. During this time, the impulse delivered to the package by the elevator floor is
a) zero
b) 12000 Nm up
c) 3600 Ns up
d) 12000 Ns up


Homework Equations


change in momentum = net Force*time interval


The Attempt at a Solution


zero b/c if it's moving at constant speed, the acceleration is zero. therefore, net force = zero.
 
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  • #2
There are two forces acting on the body -- reaction force of the elevator floor acting upward, and the weight of the body acting downward. The net force and the net impulse is zero, but the question specifically asks for the impulse delivered to the package by the floor, and thus should be 3600 Ns up. (Note that impulse is a vector quantity.)
 
  • #3
Thanks ShootingStar. You've been a great help. :smile:
 

Related to What is the Impulse Delivered by an Elevator to a Moving Package?

1. What is the principle of conservation of momentum?

The principle of conservation of momentum states that the total momentum of a closed system remains constant, regardless of any internal or external forces acting on the system. This means that the total amount of momentum before an event must be equal to the total amount of momentum after the event.

2. How does an elevator use momentum?

An elevator uses momentum to move up and down. When the elevator car is moving upward, it gains momentum as it accelerates due to the force of the motor. When the elevator reaches its desired floor, the motor slows down and the elevator car loses momentum. This allows for a smooth and controlled ride.

3. Can the momentum of an elevator be changed?

Yes, the momentum of an elevator can be changed by altering the force or speed at which the elevator is moving. This can be done by adjusting the motor or brakes, or by changing the weight of the elevator car and its occupants.

4. How does the mass of an elevator affect its momentum?

The mass of an elevator directly affects its momentum. A heavier elevator will have a greater momentum than a lighter elevator, assuming they are both moving at the same speed. This is because momentum is directly proportional to mass.

5. How is momentum used to improve elevator safety?

Momentum is used in the design and operation of elevators to ensure their safety. For example, elevators are equipped with safety systems that use momentum to engage brakes and stop the elevator in case of an emergency. Additionally, the smooth and controlled movement of elevators is also due to the use of momentum, which helps prevent sudden jolts or stops that could be dangerous for passengers.

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