Final answer:
To find the force exerted by each brace on the 17.0-m-high and 11.0-m-long wall subjected to strong wind, calculate the wall's total area, multiply by the wind force per square meter, and divide by the number of braces, resulting in each brace exerting 12,155 N.
Step-by-step explanation:
The question provided asks us to solve for the force exerted by each of the 10 braces on a 17.0-m-high and 11.0-m-long wall when a strong wind applies a horizontal force of 650 N per square meter of the wall. To calculate this, we multiply the height of the wall by its length to find the total area affected by the wind. Then, multiply this area by the horizontal force per square meter to get the total force. Since the force from the wind acts at half the wall's height, and all braces exert equal forces, we divide the total force by the number of braces to find the force exerted by each brace.
To begin with, the total area of the wall affected by the wind is 17.0 m × 11.0 m, which equals 187.0 square meters. The total force exerted by the wind on the wall will therefore be 187.0 m² × 650 N/m² = 121,550 N. Since there are 10 braces, the force exerted by each brace is 121,550 N ÷ 10, resulting in 12,155 N exerted by each brace.