Question
a 72kg runner is jogging at a rate of 6.0m/s and then begins to sprint, reaching a full speed of 15.0m/s after 3.0s. what is the net force acting on the runner?
Answers
GPT 3.5
To calculate the net force acting on the runner, we need to use Newton's second law of motion, F = ma, where F is the net force, m is the mass, and a is the acceleration.
First, the initial velocity of the runner is 6.0 m/s. After 3.0 seconds, the final velocity increases to 15.0 m/s. We can calculate the acceleration using the formula a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the time interval.
Plugging in the values, we have a = (15.0 m/s - 6.0 m/s) / 3.0 s = 9.0 m/s^2.
Next, we can calculate the net force using F = ma.
Plugging in the values, we have F = (72 kg) * (9.0 m/s^2) = 648 N.
Therefore, the net force acting on the runner is 648 Newtons.
First, the initial velocity of the runner is 6.0 m/s. After 3.0 seconds, the final velocity increases to 15.0 m/s. We can calculate the acceleration using the formula a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the time interval.
Plugging in the values, we have a = (15.0 m/s - 6.0 m/s) / 3.0 s = 9.0 m/s^2.
Next, we can calculate the net force using F = ma.
Plugging in the values, we have F = (72 kg) * (9.0 m/s^2) = 648 N.
Therefore, the net force acting on the runner is 648 Newtons.