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Answer :
Final answer:
The component of Tory's weight along the direction of motion down a hill with a 25° slope is found using the formula W|| = mg sin(θ). With a mass of 40 kg, the component of weight parallel to the slope is 166 N, making the correct answer C. 166 N.Therefore the correct option is C.
Explanation:
The student is asking about the component of weight along the direction of motion when Tory, with a mass of 40 kg, sleds down a hill with a slope of 25°. This is a physics problem related to forces on an incline.
The formula to find the component of weight parallel to the slope is W|| = w sin(θ) = mg sin(θ), where w is the weight, m is the mass, g is the acceleration due to gravity (9.8 m/s2), and θ is the angle of the slope.
Therefore, the component of Tory's weight along her direction of motion is calculated as follows:
W|| = (40 kg)(9.8 m/s2) sin(25°) = 392 N sin(25°) = 166 N
The correct answer to the question is C. 166 N.
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