A bicycle of mass 14.6 kg and a rider of mass 50kg generate a net force of 12N.How fast are they going after 2.0 seconds?
scroll down. I answered this a few minutes ago.
To determine the speed of the bicycle and rider after 2.0 seconds, we can use the concept of Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
First, let's calculate the total mass of the bicycle and the rider:
Total mass = Mass of the bicycle + Mass of the rider
= 14.6 kg + 50 kg
= 64.6 kg
Next, we need to find the acceleration of the bicycle and the rider. To do this, we can use Newton's second law:
Force = Mass × Acceleration
Rearranging the formula, we get:
Acceleration = Force / Mass
Plugging in the given values, we have:
Acceleration = 12 N / 64.6 kg
= 0.185 m/s²
Now, we can find the final velocity after 2.0 seconds using the kinematic equation:
Final velocity = Initial velocity + (Acceleration × Time)
Since we don't have the initial velocity, we assume it to be zero (assuming the bicycle starts from rest). Therefore, the equation becomes:
Final velocity = 0 + (0.185 m/s² × 2.0 s)
= 0.37 m/s
After 2.0 seconds, the bicycle and the rider are traveling at a speed of 0.37 m/s.