Solve the Problem $\mathrm { F }$ , Exerted by the Person's Lower Back Muscles Can Be

question 242

Multiple Choice

Solve the problem.
-When a person bends at the waist with a straight back, the force, $\mathrm { F }$ , exerted by the person's lower back muscles can be estimated with the formula $F = 2.89 w \sin \left( \theta + 90 ^ { \circ } \right)$ , where $w$ is the person weight, and $\theta$ is the angle made by the person's torso relative to the horizontal. Suppose that a 200 -pound person bends at an angle of $30 ^ { \circ }$ . Determine the force exerted by the person's back muscles, and estimate the angle that requires the back muscles to exert a force of 346 pounds. Round the force to the nearest pound, and the angle to the nearest tenth, if necessary.

• A) 289 pounds; \(47.3 ^ { \circ }\)
• B) 501 pounds; \(53.2 ^ { \circ }\)
• C) 26 pounds; \(53.2 ^ { \circ }\)
• D) 501 pounds; \(30 ^ { \circ }\)

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