Answer:
[tex]\text { The acceleration of the kid is } 7.18 \mathrm{m} / \mathrm{s}^{2}[/tex]
Explanation:
Mass of the kid 23.7 kg.
[tex]\text { The kid is accelerating down at an angle is } 47.2^{\circ} .[/tex]
[tex]^{\prime \prime} \mathrm{g}^{\prime \prime} \text { acceleration due to gravity is } 9.8 \mathrm{m} / \mathrm{s}^{2}[/tex]
We need to find the acceleration of the kid,
We know that, Parallel force acted on the kid at an angle is
F = m × g × sinθ (F = ma)
m × a = m × g × sinθ
Now, substitute the given values in the above formula to find acceleration of the kid,
[tex]23.7 \times a=23.7 \times 9.8 \times \sin 47.2^{\circ}[/tex]
23.7 × a = 232.26 × 0.733
23.7 × a = 170.24
[tex]a=\frac{170.24}{23.7}[/tex]
[tex]a=7.18 \mathrm{m} / \mathrm{s}^{2}[/tex]
[tex]\text { Therefore, acceleration of the kid is } 7.18 \mathrm{m} / \mathrm{s}^{2}[/tex]
