Question

Dr. Sormunen attaches a jetpack to his back so he can fly. When he hits go, he immediately falls over and is dragging against the ground. If the jet pack is applying 2115 N of force forward, and friction is applying 785 N of force, how quickly will the 90.0 kg Dr. Sormunen accelerate.

What is the net force?
What is the acceleration based on the net force and Dr. Sormunen’s mass?

Answer 1

The net force acting on Dr. Sormunen is 1330 N and his acceleration is 14.78 m/s² forward. This is found by subtracting the force of friction from the thrust of the jetpack and then applying Newton's second law.

Step-by-step explanation:

The question is asking us to calculate the acceleration of Dr. Sormunen and the net force acting on him due to the jetpack and the force of friction. To find the acceleration, we first need to find the net force on Dr. Sormunen. We subtract the force of friction from the force provided by the jetpack:

Net force = Force from jetpack - Force of friction

Net force = 2115 N - 785 N

Net force = 1330 N

To calculate the acceleration (a), we use Newton's second law of motion, which states that the acceleration of an object is the net force acting on it divided by its mass:

a = Net force / Mass

a = 1330 N / 90.0 kg

a = 14.78 m/s²

Dr. Sormunen would be accelerating at 14.78 m/s² forward, as the net force is in the direction of the jetpack's thrust.