Answer:
The steps are outlined in the explanation below.
Explanation:
The average velocity is derived midpoint from the initial to the final velocity. Here is the proof:
Find the total displacement:
let the displacement be given by the letter s
Then since the average velocity is defined as:
where t = final time
t₀ = initial time
v = final speed
v₀ = initial time
where x denotes the position, then
where v = and dx = change in distance with respect to time.
Given parameters:
Mass of the body = 200g
Force on the body = 10N
Unknown parameters:
Acceleration produced by the force = ?
To solve this problem we must first define force in terms of mass and acceleration. This is possible due to the Newton's first law of motion.
Force = mass x acceleration
Here the unknown is acceleration and we can easily solve for it.
But we must take the mass to kilogram in order for it to cancel out.
1000g = 1 kg
200g = x kg = = 0.2kg
Now input the parameters and solve;
10 = 0.2 x acceleration
Acceleration = = 50m/s²
The acceleration produced by the body is 50m/s²