Answer:
70 g
Explanation:
ice at zero degree will melt and cool down water from 20 degree to 5 degree
heat gained by ice in melting
= mass x heat of fusion
= m x 333.7 x 10³ J
Heat gained by water at zero to water at 5 degree
= mass x specific heat x rise in temperature
= m x 4.18 x 10³ x 5
Total heat gained
= m x 333.7 x 10³ +m x 4.18 x 10³ x 5
= 354.6 x 10³ m J
mass of water = .4 x 1
= .4 kg
heat lost by hot water at 20 degree to 5 degree
= .4 x 4.18 x 10³ x ( 20-5 )
=25.08 X 10³ J
Heat lost = heat gained
354.6 x 10³ m = 25.08 X 10³
m = 25.08 / 354.6
= .070 kg
70 g
b )
Let the water required be m kg
heat gained by water
= m x 4.18 x 10³ x 15
m x 4.18 x 10³ x 15 = 25.08 X 10³
m = 25.08 / (4.18 x 15)
= .4 kg
= 400 gm
=
A hanging mass of 23 kg will exert a force of:
23 * 9.81 = 225.6 Newtons on the string
Thus, during rotation, the force exerted should remain less than this. Force on an object in circular motion is given by:
F = (m * v^2) / r
225.6 = (2.95 * v^2) / 0.791
v = sqrt(60.491)
v = 7.78 m/s
Thus, the magnitude of the velocity should not exceed 7.78 meters per second.
Answer:
Explanation:
It is given that,
The planet Mercury travels in an elliptical orbit with eccentricity 0.206, e = 0.206
The minimum distance from the sun,
The relation between the minimum and the maximum distance from the sun is given by :
a is the maximum distance from the sun
or
So, the maximum distance from the sun is . Hence, this is the required solution.
No, I don’t think I will.
Physicists and astronomers conduct research to understand the nature of the universe and everything in it. These scientists observe, measure, interpret, and develop theories to explain celestial and physical phenomena using mathematics. From the vastness of space to the infinitesimal scale of subatomic particles, they study the fundamental properties of the natural world and apply the knowledge gained to design new technologies.