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Answer :
Final answer:
The horizontal component of the force exerted by the 65 kg sprinter, who applies a force at a 19° angle, is approximately 752 N, calculated by multiplying the total force by the cosine of the angle.
Explanation:
To find the horizontal component of the force exerted by the 65 kg sprinter, we use the cosine function of trigonometry since the force is at a 19° angle to the horizontal. The horizontal component Fh can be calculated using:
Fh = F × cos(θ)
Where:
- F is the total force exerted by the sprinter (798 N).
- θ is the angle of the force concerning the horizontal plane (19°).
Plugging the values into the equation, we get:
Fh = 798 N × cos(19°)
Calculating the cosine of 19 degrees and then multiplying by the force, the horizontal component comes out to be:
Fh ≈ 798 N × 0.945 = 754.11 N
Therefore, the closest option to our calculated value is (b) 752 N.
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