Final answer:
To calculate the force on a body using Newton's second law, we need to find the acceleration first. Here, the acceleration is calculated as 0.8 m/s² using the provided displacement and time. Multiplying this by the mass in kilograms gives a force of 0.08 N, which does not match any of the provided options.
Step-by-step explanation:
To find the magnitude of the force acting on the body, we can use the relationship between force, mass, and acceleration as given by Newton's second law of motion, F = ma, where F is the force, m is the mass, and a is the acceleration.
Firstly, we have to calculate the acceleration using the given displacement and time. Since the initial velocity (u) is zero and the displacement (s) is 200 cm (which is 2 meters), we can apply the formula s = ut + (1/2)at². With u = 0 and s = 2 m, the formula reduces to s = (1/2)at², which allows us to solve for the acceleration.
Thus, a = 2s/t² = (2*2 m)/(5 s)² = 0.8 m/s². Since the mass (m) is 100 g or 0.1 kg, we find F = ma = (0.1 kg)(0.8 m/s²) = 0.08 N.
Converting this to the nearest option, we get 0.08 N which is not listed in the options, suggesting there might be an issue with the provided options or a calculation error in the question setup. Therefore, based on correct physical principles and given data, no listed option fits the correct magnitude of the force.