The magnitude of the net force on the cyclist is determined as 114.1 N.
How to calculate the magnitude of the net force on the cyclist?
The magnitude of the net force on the cyclist is calculated by applying the following formula.
F(net) = parallel component of the cyclist weight minus drag force
The parallel component of the cyclist weight is;
F = mg sinθ
where;
- m is the mass of the cyclist
- g is acceleration due to gravity
- θ is the angle of inclination of the hill
F = mg sinθ
F = 65 x 9.8 x sin (14)
F = 154.1 N
The net force on the cyclist is;
F(net) = 154.1 N - 40 N
F(net) = 114.1 N
The complete question is below:
a 65 kg cyclist is pedaling uphill at an angle of 14 degrees with a speed increasing at a rate of 1.4 m/s2. Experiences a 40 N drag. No friction.
Calculate the magnitude of the net force on the cyclist.