A different scaffold that weighs 400 N supports two painters, one 500 N and the other 400 N. The reading in the left scale is 800 N. What is the reading in the righth and
scale?
The total upward force = total downward force
800N + X = 400 N + 500N + 400N
800N+X=1300N
X=1300-800
x=500N
upward net force= downward net force
800N+X=1300N
X=500N
hhbh
To find the reading in the right-hand scale, we need to consider the forces acting on the scaffold.
First, let's list the known forces:
1. Weight of the scaffold (given): 400 N
2. Weight of the first painter (given): 500 N
3. Weight of the second painter (given): 400 N
4. Reading in the left-hand scale (given): 800 N
Now, let's set up an equation to represent the forces in equilibrium:
Total upward force = Total downward force
The total upward force comes from the reading in the left-hand scale, which is 800 N.
The total downward force comes from the weight of the scaffold, first painter, and second painter.
Total downward force = Weight of scaffold + Weight of first painter + Weight of second painter
Total downward force = 400 N + 500 N + 400 N = 1300 N
Since the scaffold is in equilibrium, the total upward force should equal the total downward force.
800 N = Total downward force
Total downward force = 800 N
Now, to find the reading in the right-hand scale, we subtract the total downward force from the total weight of the scaffold and the painters.
Reading in the right-hand scale = Total weight - Total downward force
Reading in the right-hand scale = (Weight of scaffold + Weight of first painter + Weight of second painter) - Total downward force
Reading in the right-hand scale = (400 N + 500 N + 400 N) - 800 N
Reading in the right-hand scale = 1300 N - 800 N
Reading in the right-hand scale = 500 N
Therefore, the reading in the right-hand scale is 500 N.
800+x-1300-400=0
800+x-1700=0
x=900