A spider moving downward with a terminal velocity of 13m/s has an upward force of 22N acting on it...what is the mass of the spider?

To determine the mass of the spider, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and its acceleration. In this case, the net force acting on the spider can be calculated by subtracting the upward force from the force of gravity.

First, let's determine the force of gravity acting on the spider. The force of gravity can be calculated using the formula:

force of gravity = mass × acceleration due to gravity

The acceleration due to gravity is approximately 9.8 m/s². Therefore, we have:

force of gravity = mass × 9.8

Given that the upward force acting on the spider is 22 N, we can now determine the net force:

net force = force of gravity - upward force

The net force should be zero since the spider is moving at a constant velocity, which is indicated by its terminal velocity. Therefore:

0 = force of gravity - 22

Now, let's solve for the mass of the spider:

force of gravity = 22

mass × 9.8 = 22

mass = 22 / 9.8

Calculating this, we find that the mass of the spider is approximately 2.24 kg (rounded to two decimal places).