Final answer:
To calculate the magnitude of the force needed to stop the jogger's leg, we need to consider the change in kinetic energy. The magnitude of the force needed to stop the jogger's leg is approximately 6600 N. Comparing this force with the weight of the jogger, the force needed to stop the jogger's leg is significantly larger.
Step-by-step explanation:
To calculate the magnitude of the force needed to stop the downward motion of the jogger's leg, we need to consider the change in kinetic energy. The initial kinetic energy is given by KE = 0.5 * m * v^2, where m is the mass and v is the velocity. Since the leg stops in a distance of 1.50 cm, we can calculate the final velocity using the equation vf^2 = vi^2 + 2 * a * d, where vf is the final velocity, vi is the initial velocity (6.00 m/s), a is the acceleration, and d is the distance. Solving for a, we get a = (vf^2 - vi^2) / (2 * d). Finally, we can calculate the force using the equation F = m * a. Including the weight of the jogger's body, the magnitude of the force needed to stop the jogger's leg is approximately 6600 N.
To compare this force with the weight of the jogger, we can calculate the weight using the equation W = m * g, where W is the weight, m is the mass, and g is the acceleration due to gravity. The weight of the jogger is approximately 735 N. Comparing the force needed to stop the jogger's leg (6600 N) with the weight of the jogger (735 N), we can see that the force needed to stop the jogger's leg is significantly larger.