Question

A 23.7 kg kid slides down a

Answer 1

Answer:

$\text { The acceleration of the kid is } 7.18 \mathrm{m} / \mathrm{s}^{2}$

Explanation:

Mass of the kid 23.7 kg.

$\text { The kid is accelerating down at an angle is } 47.2^{\circ} .$

$^{\prime \prime} \mathrm{g}^{\prime \prime} \text { acceleration due to gravity is } 9.8 \mathrm{m} / \mathrm{s}^{2}$

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,

$23.7 \times a=23.7 \times 9.8 \times \sin 47.2^{\circ}$

23.7 × a = 232.26 × 0.733

23.7 × a = 170.24

$a=\frac{170.24}{23.7}$

$a=7.18 \mathrm{m} / \mathrm{s}^{2}$

$\text { Therefore, acceleration of the kid is } 7.18 \mathrm{m} / \mathrm{s}^{2}$