Answer :
Final answer:
The component of the child's weight parallel to the slide surface can be calculated using the formula w_parallel = weight × sin(angle). Plugging in the values, the component is approximately 150.6 N, which is closest to option c) 193 N.
Explanation:
The component of the child's weight parallel to the slide surface can be calculated using the formula:
w_parallel = weight × sin(angle)
where weight is the gravitational force acting on the child and angle is the angle of the slide.
In this case, the weight of the child is 25 kg × 9.8 m/s² = 245 N and the angle of the slide is 38 degrees. Plugging in these values into the formula, we get:
w_parallel = 245 N × sin(38 degrees) ≈ 150.6 N
Therefore, the component of the child's weight parallel to the slide surface is approximately 150.6 N, which is closest to option c) 193 N.
