This question involves the concepts of density, volume, and mass.
The approximate diameter of a magnesium atom is "3.55 x 10⁻¹⁰ m".
<h3>STEP 1 (FINDING MASS OF INDIVIDUAL ATOM)</h3>
It is given that:
Mass of one mole = 24 grams
Mass of 6 x 10²³ atoms = 24 grams
Mass of 1 atom = = 4 x 10⁻²³ grams
<h3>STEP 2 (FINDING VOLUME OF A SINGLE ATOM)</h3>
where,
- = density = 1.7 grams/cm³
- m = mass of single atom = 4 x 10⁻²³ grams
- V = volume of single atom = ?
Therefore,
V = 2.35 x 10⁻²³ cm³
<h3>STEP 3 (FINDING DIAMETER OF ATOM)</h3>
The atom is in a spherical shape. Hence, its Volume can be given as follows:
d = 0.355 x 10⁻⁷ cm = 3.55 x 10⁻¹⁰ m
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Answer:
(a)
(b)
(c)
Explanation:
The Planck-Einstein relation allows us to know the energy (E) of a photon, knowing its frequency (f). According to this relation, the energy of the photon is defined as:
Here h is the Planck constant.
(a)
(b)
(c)
Answer:
Deceleration = 5.7 m/s²
Explanation:
We are given;
Deceleration of the car; d = -3.15 m/s²
Angle of inclination; θ = 9.7°
Coefficient of friction will be calculated as; μ = d/g = 3.15/9.81 = 0.3211
Now,the acceleration would be gotten from the formula;
a = g (sin(θ) + μ cos(θ))
Plugging in the relevant values to give;
a = 9.81[sin 9.7 + (0.3211 × cos (9.7)]
sin 9.7 and cos 9.7 are in radians, thus we have;
a = 9.81(-0.2718 + (0.3211 × -0.9624))
a = -5.7 m/s²
Negative acceleration means a Deceleration of 5.7 m/s²
Net force acting on the car is 3 x 10^3 Newtons:
Answer:
the total kinetic and potential energy of the ball is constant (mechanical energy remains the same)
Explanation:
As the ball falls, kinetic energy is increased in direct relation with the decrease in potential energy
ΔKE + ΔPE = 0