Two strong magnets on opposite sides of a small table are shown. The long-range attractive force between the magnets keeps the lower magnet in place. Suppose the weight of the table is 19.7 N, the weight of each magnet is 4.17 N, and the magnetic force on the lower magnet is 5.39 times its weight. Find the magnitude of the force of the lower magnet on the upper magnet.

To find the magnitude of the force of the lower magnet on the upper magnet, we need to determine the weight of the lower magnet and then calculate the force using the given information.

Let's break down the steps:

Step 1: Calculate the weight of the lower magnet.
We are given that the weight of each magnet is 4.17 N, so the weight of the lower magnet would also be 4.17 N.

Step 2: Determine the magnetic force on the lower magnet.
The magnetic force on the lower magnet is given as 5.39 times its weight. We can calculate this by multiplying the weight of the lower magnet by 5.39.
Magnetic force on the lower magnet = 5.39 * 4.17 N = 22.45 N (rounded to two decimal places)

Step 3: Find the magnitude of the force of the lower magnet on the upper magnet.
Since the magnets are attracting each other, the force of the lower magnet on the upper magnet would be equal in magnitude but opposite in direction to the magnetic force on the lower magnet.
Magnitude of the force of the lower magnet on the upper magnet = 22.45 N

Therefore, the magnitude of the force of the lower magnet on the upper magnet is 22.45 N.