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 will first calculate the weight of the lower magnet, and then use the given information to determine the force.
1. Calculate the weight of the lower magnet:
Given that the weight of each magnet is 4.17 N and the magnetic force on the lower magnet is 5.39 times its weight.
Weight of the lower magnet = 4.17 N
2. Determine the force of the lower magnet based on its weight:
Force of the lower magnet = Magnetic force on lower magnet = 5.39 times the weight of the lower magnet
= 5.39 * 4.17 N
Therefore, the magnitude of the force of the lower magnet on the upper magnet is 22.49 N (approximately).