Final answer:
To determine the force applied to a 500g body moving 8m in 2s from rest, calculate the acceleration and use Newton's second law to find the force, which is 4 Newtons in this case.
Step-by-step explanation:
To calculate the force applied to a body of mass 500g that moves a distance of 8m in 2s, we can use the formula derived from Newton's second law of motion, which is F = ma. First, we need to find the acceleration (a) of the body. Since the body starts from rest, we can determine acceleration using the kinematic equation s = ut + (1/2)at², where s is the distance, u is the initial velocity, t is time, and a is acceleration.
Given that u = 0, s = 8m, and t = 2s, the equation simplifies to 8 = (1/2)at². Solving for a, we get a = 8 / (0.5*2²) which simplifies to a = 8 m/s². Finally, we convert the mass from grams to kilograms (500g = 0.5kg) and use Newton's second law to find the force: F = ma = 0.5kg * 8 m/s² = 4N. Therefore, the applied force is 4 Newtons.