Answer:
the weight of the astronaut on Earth is 1209.88 N
Explanation:
Given;
weight of the astronaut, W = 200 N
acceleration due to gravity on moon, g = 1.62 m/s²
Apply Newton's second law of motion to determine the mass of the astronaut;
F = ma = mg
m = F/g
m = 200 / 1.62
m = 123.457 kg
The weight of the astronaut on Earth is calculated as follows;
F = mg
where;
g is acceleration due to gravity on Earth = 9.8 m/s²
F = 123.457 x 9.8
F = 1209.88 N
Therefore, the weight of the astronaut on Earth is 1209.88 N
From the Law of Conservation of Linear Momentum, when two particles get stuck together after a collision, it follows that:
In this case, the initial velocity of the second particle is unknown. Isolate it from the equation:
Replace the given data to find the value of v₂:
Therefore, the initial velocity of the 26-kg car is approximately 2.3m/s.
1. Frequency:
The energy given is the energy per mole of particles:
1 mole contains a number of Avogadro of particles, , equal to
particles
So, by setting the following proportion, we can calculate the energy of a single photon:
This is the energy of a single photon; now we can calculate its frequency by using the formula:
where
is the Planck's constant
f is the photon frequency
Solving for f, we find
2. Wavelength:
The wavelength of the photon is given by the equation:
where
is the speed of the photon (the speed of light). Substituting,
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