Final answer:
To determine the speed of an object after 6 seconds with a constant force of 200N applied to a mass of 100,000g, one calculates the acceleration using Newton's second law and uses the equation of motion to find the final velocity, which is 12 m/s.
Step-by-step explanation:
The question involves calculating the speed of an object after a constant force is applied to it for a certain duration of time. Given a force with an intensity of 200N acting on an object with a mass of 100,000g (which is equivalent to 100kg), we can find the acceleration using Newton's second law, F = ma. Here, F is the force applied, m is the mass of the object, and a is the acceleration.
First, convert the mass to kilograms by dividing by 1000, since 1 kg = 1000 g. So, the mass m is 100 kg. Next, calculate the acceleration (a) as follows: a = F / m = 200N / 100kg = 2 m/s². Once we have the acceleration, we can use the equation of motion v = u + at, where u is the initial velocity, a is the acceleration, and t is the time. Since the initial velocity (u) is zero, the final velocity (v) after 6 seconds will be v = 0 + (2 m/s²) * (6 s) = 12 m/s.
Therefore, the speed of the object after 6 seconds is 12 m/s.