Questions: Moving at a constant speed, an elevator lifts a 1200 N package 10 meters in 3 seconds. During that time the impulse delivered to the package by the elevator is as follows: - zero. - 12,000 Nm up - 13,600 Ns up. - 12,000 Ns up.

Moving at a constant speed, an elevator lifts a 1200 N package 10 meters in 3 seconds. During that time the impulse delivered to the package by the elevator is as follows:
- zero.
- 12,000 Nm up
- 13,600 Ns up.
- 12,000 Ns up.

Transcript text: Moving at a constant speed, an elevator lifts a 1200 N package 10 meters in 3 seconds. During that time the impulse delivered to the package by the elevator is as follows: - zero. - 12,000 Nm up - $13,600 \mathrm{Ns}$ up. - $12,000 \mathrm{Ns}$ up.

Solution

Solution Steps

Step 1: Understand the Problem

The problem involves an elevator lifting a package with a constant speed. We are given the weight of the package (1200 N), the distance it is lifted (10 meters), and the time taken (3 seconds). We need to determine the impulse delivered to the package by the elevator.

Step 2: Define Impulse

Impulse is defined as the change in momentum of an object. It can be calculated using the formula:

\[ \text{Impulse} = \Delta p = F \cdot \Delta t \]

where $ F $ is the force applied and $ \Delta t $ is the time duration.

Step 3: Calculate the Force

Since the elevator is moving at a constant speed, the net force acting on the package is zero. However, the force exerted by the elevator is equal to the weight of the package to counteract gravity. Therefore, the force $ F $ is 1200 N.

Step 4: Calculate the Impulse

Using the impulse formula:

\[ \text{Impulse} = F \cdot \Delta t = 1200 \, \text{N} \times 3 \, \text{s} = 3600 \, \text{Ns} \]

However, the problem seems to have a typographical error in the options. The correct calculation should yield 3600 Ns, but none of the options match this value. Therefore, we need to consider the context or possible errors in the options.