Question

Therin sprints through a small canyon when a hiding spider ensnares him in a web. His legs and arms wrapped together, Therin falls to the ground head first and begins to slide along the rocky ground. If Therin weighs 588 N and the coefficient of friction is 0.4, how quickly does the elf accelerate?

Answer 1

The net force and the mass of Therin (588 N) into the formula for acceleration: acceleration = 352.8 N / 588 kg = 0.6 m/s²

Step-by-step explanation:

To calculate the acceleration of Therin, we can use the formula:

acceleration = net force / mass

First, we need to calculate the net force. The net force can be determined by subtracting the frictional force from the weight of Therin. The frictional force can be calculated using the formula:

frictional force = coefficient of friction * normal force

The normal force is equal to the weight of Therin since he is on a horizontal surface. Therefore, the normal force is 588 N. Plugging these values into the formula, we can calculate the frictional force as 0.4 * 588 N = 235.2 N.

Next, we can calculate the net force by subtracting the frictional force from the weight: net force = weight - frictional force = 588 N - 235.2 N = 352.8 N.

Finally, we can plug the net force and the mass of Therin (588 N) into the formula for acceleration: acceleration = 352.8 N / 588 kg = 0.6 m/s²