Question 342: Oscillations

Question

A child is sitting on a swing which performs S.H.M. It has minimum and maximum heights from ground $$0.75 \mathrm{~cm}$$ and $$2 \mathrm{~m}$$ respectively. Its maximum speed will be $$\left[\mathrm{g}=10 \frac{\mathrm{m}}{\mathrm{s}^2}\right]$$

Accepted Answer

Maximum potential energy is attained at the highest point which gets converted into kinetic energy at the lowest point.
$$\begin{aligned}
& \quad \mathrm{h}=2-0.75=1.25 \mathrm{~m} \
& \quad \frac{1}{2} \mathrm{mv}^2=\mathrm{mgh} \
& 	herefore \quad v^2=2 \mathrm{gh}=2 	imes 10 	imes 1.25=25 \
& 	herefore \quad \mathrm{v}=5 \mathrm{~m} / \mathrm{s}
\end{aligned}$$

Answer

$$\sqrt{1.25} \mathrm{~m} / \mathrm{s}$$

Answer

$$\sqrt{12.5} \mathrm{~m} / \mathrm{s}$$

Answer

$$5 \mathrm{~m} / \mathrm{s}$$

Answer

$$25 \mathrm{~m} / \mathrm{s}$$

Oscillations

A child is sitting on a swing which performs S.H.M. It has minimum and maximum heights from ground $0.75 \mathrm{~cm} and 2 \mathrm{~m} respectively. Its maximum speed will be \left[\mathrm{g}=10 \frac{\mathrm{m}}{\mathrm{s}^2}\right]

Choose the correct answer: