Answer:
Explanation:
angular momentum of the putty about the point of rotation
= mvR where m is mass , v is velocity of the putty and R is perpendicular distance between line of velocity and point of rotation .
= .045 x 4.23 x 2/3 x .95 cos46
= .0837 units
moment of inertia of rod = ml² / 3 , m is mass of rod and l is length
= 2.95 x .95² / 3
I₁ = .8874 units
moment of inertia of rod + putty
I₁ + mr²
m is mass of putty and r is distance where it sticks
I₂ = .8874 + .045 x (2 x .95 / 3)²
I₂ = .905
Applying conservation of angular momentum
angular momentum of putty = final angular momentum of rod+ putty
.0837 = .905 ω
ω is final angular velocity of rod + putty
ω = .092 rad /s .
Answer:
560 kg m/s
Explanation:
First of all, we have to find the velocity of the runner, which is given by the ratio between the distance covered (400 m) and the time taken (50 s):

And now we can calculate the average momentum of the runner, which is equal to the product between the mass of the runner (70 kg) and its velocity, that we have previously calculated:

The prime factors that affect the ability of substances to transfer the thermal energy to heat are the temperature difference between the two objects, area of cross-section, time, and distance travelled by the thermal energy.
<u>Explanation:
</u>
The process of heat conduction takes place through contact between two or more objects. But this conduction depends on multiple factors that are responsible for thermal conduction. They are-
- Temperature Difference(
) - The two objects must have a temperature difference else there will be no thermal conduction between them. The more the difference in their temperatures, the more thermal energy flows from one object to the other.
- Area of Cross-section (A) - Larger areas of contact provide as better medium of thermal conduction.
- Time (t) - The more time we give for the thermal conduction, the more energy is transmitted from one system to the other.
- Distance Travelled (l) - The longer the distance, lesser the conduction. Means, the distance should be minimized in order to achieve the optimum thermal conduction between two objects.
Consider metal pot and its handle, it is being boiled for 15 m. The molecules present near the source of heat, showing fast vibration and bounce off. It actually indicates the heats of substance. That’s why, handle remains hot as heat conduction takes place. It can be estimated by,

k - Thermal conductivity of the material, measured in J/s.m.
To answer this question, we will use the following rule:
E = hc / lambda where:
E is the energy = 146 kJ/mol = 146000 J/mol
h is Planck's constant = 6.62*10^-34 kg m^2 / sec
c is the speed of light = 3*10^8 m/sec
lambda is the wavelength that we need to calculate
Substitute with the given values in the above equation to get lambda as follows:
146000 = (6.62 * 10^-34 * 3 * 10^8) / lambda
lambda = 1.36*10^-30 meters