Question

The resultant of two forces acting at a point at right angles to each other is 32 pounds. If the horizontal force is 19 pounds, what is the other force to the nearest pound?

A. 26 lb.
B. 30 lb.
C. 37 lb.
D. 50 lb.

Answer 1

A. 26 lb.

Explanation:

The resultant force of a system is defined as

`F_(R)=\sqrt{F_(x)^(2)+F_(y)^(2)}`

Where

`F_(R)=32`

`F_(x)=19`

Replacing these values, we have

`32=\sqrt{(19)^(2)+F_(y)^(2)}\\32^(2)=361+ F_(y)^(2)\\ F_(y)^(2)=1024-361\\ F_(y)=√(663) \approx 26lb`

Therefore, the right answer is A. 26 lb.