Question

An ankle biting squirrel that has a mass of 0.95 kg is kicked with an acceleration of 1.9 m/s². If the squirrel flies 12 meters, find the work done on the squirrel.

1.) 1.8 J
2.) 22 J
3.) 11 J
4.) 0.15 J
5.) 6.0 J

Answer 1

To find the work done on the squirrel, we use Newton's second law to calculate the force (F=ma) and then multiply by the distance (W=Fd). The work done on the squirrel is approximately 22 J.

Step-by-step explanation:

The question involves calculating the work done on a squirrel after being kicked with a given acceleration. Work done is defined as the product of force and the displacement in the direction of the force. To find the work, we first need to find the force imparted to the squirrel. This can be determined by using Newton's second law of motion, F = ma, where m is the mass and a is the acceleration.

For the squirrel with a mass of 0.95 kg that is kicked with an acceleration of 1.9 m/s², the force applied is:

F = ma = (0.95 kg)(1.9 m/s²) = 1.805 N

The work done W is then calculated using the formula W = Fd, where d is the displacement.

W = Fd = (1.805 N)(12 m) = 21.66 J

Therefore, the closest answer from the given options to the calculated work done is 22 J (Option 2).