Answer:
Explanation:
The problem is based on resolving power of instruments . Resolving power of instruments is related to wavelength of light as follows
resolving power of telescope ∝ 1 / λ
Higher the resolving power closer the object that can be looked separately.
Wave length of blue light is shorter than that of red light so resolving power in case of blue light will be higher. So we have better chance of distinguishing separate bulbs when color light is blue.
Answer:
Explanation:
Parameters given:
Mass of Puck 1, m = 1 kg
Mass of Puck 2, M = 1 kg
Initial velocity of Puck 1, u = 20 m/s
Initial velocity of Puck 2, U = 0 m/s
Final velocity of Puck 1, v = 5 m/s
Since we are told that momentum is conserved, we apply the principle of conservation of momentum:
Total initial momentum of the system = Total final momentum of the system
mu + MU = mv + MV
(1 * 20) + (1 * 0) = (1 * 5) + (1 * V)
20 = 5 + V
V = 20 - 5 = 15 m/s
Puck 2 moves with a velocity of 15 m/s
The position of the particle when it changes direction is x = 3.0 m
Explanation:
The position of the particle is given by the equation

In order to determine its position when it changes direction, we need to find the time t at which the velocity of the particle becomes zero.
The velocity of the particle si given by the derivative of the position, therefore:

The velocity is zero when:

And therefore, the position at t = 0.41 s is

Learn more about position and velocity:
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First of all, let's write the density of water (W) and the density of alcohol (A):


And the relationship between density d, mass m and volume V:

The density of the mixture water+alcohol is 900 kg/m^3. The mass of this mixture is the sum of the masses of water and alcohol, and the volume of this mixture is the sum of the volumes of water and alcohol. So we can write

(2)
Now let's solve the two parts of the problem.
a) Let's rewrite (2) by replacing the volumes with

:

By solving this equation, we find:

This means that there are 0.71 kg of alcohol per each kg of water in the mixture.
b) Similarly, let's rewrite (2) by replacing the masses with

:

Re-arranging and solving, we find

This means that there are 0.90 L of alcohol per each liter of water in the mixture.