Answer:
4541.8 J
Explanation:
First we find the mass of benzene available
mass = density x volume
= 0.867 x 34.1
= 29.5647 g
Then we find the amount of heat transferred by two processes:
heat tranferred = heat lost during temp drop + heat lost during freezing
= mcΔT + mL
= 29.5647 x 1.74 x (20.8 - 5.5) + 29.5647 x 127
= 4541.7883434 J
= 4541.8 J
Answer:
the time between successive meridian transits of the sum at a particular place
Answer:
V₂=153.84 m L
Explanation:
Given that
Initial volume ,V₁ = 200 m L
Initial pressure ,P₁= 500 torr
Final pressure P₂ = 650 torr
Lets take the final volume =V₂
Given that process occurs at constant temperature and we know that for constant temperature process
P₁ V₁ = P₂ V₂

Now by putting the values

V₂=153.84 m L
Therefore the new volume of the gas will be 153.8 4mL.
80 joule is momentarily stored in each spring
<em><u>Solution:</u></em>
Given that,
The coil springs on a car's suspension have a value of k = 64000 N/m
When the car strikes a bump the springs briefly compress by 5.0 cm (.05 m)
By compressing the spring, we apply a force over a distance
As a result we have done work on the spring
Doing work means that we have transferred energy to spring in form of elastic potential
Therefore,
k = 64000 N/m
x = 0.05m
<em><u>The elastic potential energy is given as:</u></em>

Where, "k" is the spring constant and "x" is the displacement

Thus 80 joule is momentarily stored in each spring
Answer:
6.18 um
Explanation:
The plumb line will be pulled down by a combination of the gravitationall pull of Earth and of the mountain. The Earth pulls down and the mountain to the side. Because of this it will fall not in a straight line down, but slightly to the side. Since the plumb line will follow the compound gravity we can imagine a rectangle triangle formed by the plumb line, a vertical line that ends at the same height as the plumb line, and the sideways displacement.
The total gravity will be proportional to the plumb line lenght, the vertical line will be proportional to Earth's gravity and the sideways displacement to the mountain pull.
The gravity of Earth is 9.81 m/s^2
The pull of the mountain will be defined by Newton's law of universal gravitation:

Where
F: pull force
G: universal gravitational constant (6.67e-11 m^3/(kg * s)
m1: mass of the mountain
m2: mass of the plumb
r: distance between mountain and plumb (3 km in this case)
If we divide both sides by m2 we obtain the acceleration towards the mountain of the plumb

Now we need the mass of the mountain. This will be its volume times it's density. The volume depends on the radius (since we consider it as a sphere)


So, the acceleration on the plumb will be

This is very small compared to the pull of Earth, so we can make an approximation that the length of the plumb line is equal to vertical line.
We can use the principle of similar triangles to say that:

So:
