A playground tire swing has a period of 2.0 s on Earth. What is the length of its chain?

Physics

1 answer:

Jet001 [13]3 years ago

5 0

Answer:

Length of the chain, l = 0.99 m

Explanation:

Given that,

A playground tire swing has a period of 2.0 s on Earth i.e.

T = 2 s

We need to find the length of this chain. The relationship between the length and the time period is given by :

$T=2\pi \sqrt{\dfrac{l}{g}}$

Where

l = length of chain

g = acceleration due to gravity

$l=\dfrac{T^2g}{4\pi^2}$

$l=\dfrac{(2)^2\times 9.8}{4\pi^2}$

l = 0.99 meters

So, the length of the chain is 0.99 meters. Hence, this is the required solution.

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A 61.0-kg person jumps from rest off a 10.0-m-high tower straight down into the water. Neglect air resistance. She comes to rest

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Answer:

Explanation:

In this case, law of conservation of energy will be implemented. It states that "the energy of the system remains conserved until or unless some external force act on it. Energy of the system may went through the conversion process like kinetic energy into potential and potential into kinetic energy.But their total always remain the same in conserved systems."

Given data:

Height of tower = 10.0 m

Depth of the pool = 3.00 cm

Mass of person = 61.0 kg

Solution:

Initial energy = Final energy

$U_{i} = (K.E) + U_{f}$