Answer:
The weight of the body is 3,924 N.
Step-by-step explanation:
To solve this problem, we can use the formula for distance as a function of acceleration with initial velocity equal to zero:
distance = (1/2) x acceleration x time^2
We know that the distance the body is lifted is 20 meters, the time taken is 20 seconds, and the force applied is 200 N. We can use this information to calculate the weight of the body.
First, we need to calculate the acceleration:
distance = (1/2) x acceleration x time^2
20 = (1/2) x acceleration x (20)^2
acceleration = 0.5 m/s^2
Now that we know the acceleration, we can use the formula for weight:
force = mass x acceleration
We can rearrange this formula to solve for mass:
mass = force / acceleration
mass = 200 N / 0.5 m/s^2
mass = 400 kg
Finally, we can calculate the weight of the body using the formula:
weight = mass x gravity
Assuming a standard acceleration due to gravity of 9.81 m/s^2, we can calculate the weight:
weight = 400 kg x 9.81 m/s^2
weight = 3,924 N
Therefore, the weight of the body is 3,924 N.