Henry Heavyweight weighs 1400N and stands on a pair of bathroom scales so that one scale reads twice as much as the other. What are the scale readings?
466 N
1738
To solve this problem, let's assign variables to the scale readings. Let's say the reading on one scale is x, and the reading on the other scale is 2x.
Now, we can set up an equation based on the information given. According to the problem, Henry's weight is 1400N, so the total vertical force must be 1400N.
Since Henry is standing on two scales, the total vertical force is divided between the two scales. Therefore, we can write the equation as:
x + 2x = 1400
Simplifying the equation:
3x = 1400
Dividing both sides of the equation by 3:
x = 1400/3
Calculating x:
x ≈ 466.67N
Now, we can find the readings on each scale:
Reading on one scale (x) ≈ 466.67N
Reading on the other scale (2x) ≈ 933.33N
Therefore, the scale readings are approximately 466.67N and 933.33N.