here's the solution,
The <em>radius</em> of the circle =<u> 3 km</u>
distance covered = <em>circumference</em> of the circle,
So, Circumference :
=》

=》

=》

(a). Distance covered by moving object is 18.84 km
(b). 0 km
now, Displacement of the object is 0 km, because displacement is the shortest distance from stating point to the destination, but the object returns back to the starting point, hence magnitude of displacement is 0.
Not sure what the given options are, but the answer is the horizontal component. This is given by Force x cos(angle), or Fcos(θ), where θ is the angle. In this case that would be 20cos(30) = 17.32N
You have said that 15cm³ of gold weighs 2.8N. So I may infer that each cm³
of gold weighs about 0.19N. When I compare that figure with the 0.13N per cm³
of mercury, it becomes immediately apparent that the gold is more dense than
mercury. Therefore, the sample of gold, no matter what its size or weight, will
displace its total volume of mercury, and will go on to sink entirely beneath the
waves in the mercury.
Answer : The correct option is, (A) 
Solution : Given,
Volume of mercury at temperature
= 
As we know that the mercury is a liquid substance. So, we have to apply the volume of expansion of the liquid.
Formula used for the volume expansion of liquid :
![V_{T}=v_{1}[1+\gamma (T_{2}-T_{1})]](https://tex.z-dn.net/?f=V_%7BT%7D%3Dv_%7B1%7D%5B1%2B%5Cgamma%20%28T_%7B2%7D-T_%7B1%7D%29%5D)
or,
![V_{2}=V_{1}[1+\gamma (T_{2}-T_{1})]](https://tex.z-dn.net/?f=V_%7B2%7D%3DV_%7B1%7D%5B1%2B%5Cgamma%20%28T_%7B2%7D-T_%7B1%7D%29%5D)
where,
= volume of liquid at temperature 
= volume of liquid at temperature 
= volume of liquid at temperature 
= volume expansion coefficient of mercury at
is 0.00018 per centigrade (Standard value)
Now put all the given values in the above formula, we get the volume of mercury at
.
![V_{2}=0.002[1+0.00018(50-20)]=0.0020108m^3](https://tex.z-dn.net/?f=V_%7B2%7D%3D0.002%5B1%2B0.00018%2850-20%29%5D%3D0.0020108m%5E3)
Therefore, the volume of mercury at
is, 