The tension in the swing's chain at the bottom of the swing is 178.35 N.
The given parameters:
- Mass of the girl, m = 27 kg
- Speed of the girl, v = 3 m/s
- Radius of the circle, r = 4 m
The tension in the swing's chain at the bottom of the swing is calculated as follows;

Thus, the tension in the swing's chain at the bottom of the swing is 178.35 N.
Learn more about tension in vertical circle here: brainly.com/question/19904705
The mirror formula for curved mirrors is:

where
f is the focal length of the mirror

is the distance of the object from the mirror

is the distance of the image from the mirror
The sign convention that should be used in order to find the correct values is the following:
-

: positive if the mirror is concave, negative if the mirror is convex
-

: positive if the image is real (located on the same side of the object), negative if it is virtual (located on the opposite side of the mirror)
Answer:
The total time is
.
Explanation:
Given:
The distance between Galactic Capitol and Earth is, 
The speed of light is, 
The time taken by the message to reach and come back to Earth is given by

In addition they take 1 year to decide to reply.
Thus, the total time is
.
Answer:
The disintegrations is
.
Explanation:
Given that,
Weight of sample = 200 g
Decay constant 
We need to calculate the disintegrations
Using formula of disintegrations

Where,
= decay constant
N = number of atoms present at time t
Put the value into the formula


Hence, The disintegrations is
.