The density of gold is 19 times that of water. If you take a gold crown weighing 24 N and submerge it in water, how much upward force must you exert on the submerged crown to keep it from accelerating?

To determine the upward force required to keep the submerged gold crown from accelerating, we need to understand the concept of buoyancy. Buoyancy is the force exerted by a fluid (in this case, water) on an object submerged in it.

1. First, we need to calculate the weight of the crown in water. Since the density of gold is 19 times that of water, the crown will displace the same weight of water as its own weight. Therefore, the weight of the crown in water is 1/19th of its weight in air.

Weight of the crown in water = (1/19) * 24 N = 1.26 N

2. The upward force required to keep the crown from accelerating is equal to the weight of the water displaced by the crown. This is known as Archimedes' Principle.

Therefore, the upward force required to keep the submerged crown from accelerating is 1.26 N.