The diagram shows two different forces acting on a cyclist riding a bicycle. The total mass of the cyclist and the bicycle is 120.0 kg. Based on this information, what is the acceleration of the cyclist?
Unfortunately, the diagram is missing, and the information provided is not sufficient to determine the acceleration of the cyclist. To calculate acceleration, we need either the net force acting on the cyclist or the individual forces and their directions.
the air is 84n and he is applying 150n of force aginst
To find the acceleration of the cyclist, we need to determine the net force acting on the cyclist. The net force is the vector sum of the individual forces.
Given that the air resistance force is 84 N and the cyclist is applying a force of 150 N, we need to subtract the air resistance force from the applied force to find the net force on the cyclist.
Net force = Applied force - Air resistance force
Net force = 150 N - 84 N
Net force = 66 N
Using Newton's second law of motion, we can calculate the acceleration of the cyclist.
Newton's second law: F = m * a
Where:
F = net force (66 N)
m = total mass of the cyclist and bicycle (120 kg)
a = acceleration (unknown)
Rearranging the formula, we have:
a = F / m
a = 66 N / 120 kg
a ≈ 0.55 m/s^2
Therefore, the acceleration of the cyclist is approximately 0.55 m/s^2.