Answer:
F = 2.3 x 10⁻⁸ N
Explanation:
Given,
The mean distance between the electron and the nucleus, x = 1 x 10⁻¹⁰ m
The number of protons present in the nucleus of the hydrogen atom is 1.
The charge of the proton and electron, q = 1.602 x 10⁻¹⁹ C
Since they have opposite charges, the force between them is attractive,
The coulomb law of force between two charges is given by the formula,
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= 9 x 10⁹ Nm²C⁻²
Substituting the values in the above equation
F = 9 x 10⁹ X (1.602 x 10⁻¹⁹)² / (1 x 10⁻¹⁰)²
= 2.31 x 10⁻⁸ N
Hence, the force between the nucleus and electron of hydrogen atom is, F = 2.3 x 10⁻⁸ N
Answer:
a) 12.8 N
b) 3.2 m/s²
Explanation:
I'm guessing the period is 0.5π s.
Period of a spring in simple harmonic motion is:
T = 2π √(m/k)
Given T = 0.5π and m = 2 kg:
0.5π = 2π √(2/k)
0.25 = √(2/k)
0.0625 = 2/k
k = 32
The spring constant is 32 N/m, and the maximum displacement is 0.4 m. The maximum force can be found with Hooke's law:
F = kx
F = (32 N/m) (0.4 m)
F = 12.8 N
The acceleration can be found with Newton's second law:
∑F = ma
kx = ma
(32 N/m) (0.2 m) = (2 kg) a
a = 3.2 m/s²
Answer:
we approach a maximum or minimum the values of the ordinate are closer and closer and when passing this point the values change their trend
Explanation:
The reason for this process occurs because as we approach a maximum or minimum the values of the ordinate are closer and closer and when passing this point the values change their trend if they were rising, they begin to fall and if they were falling they begin to rise. Therefore the maximum point is a point of inflection of the curve since its trend changes.
Another way of looking at this process is that mathematically the point where there is a maximum or a minimum corresponds to the point where the first derivative is equal to zero, this is the slope of the line is horizontal, so the points before after correspond to values with slope of different sign.
Answer:33.33 m/s
Explanation: In order to calculate this conversion we have to use:
1 mile = 1.6 km and also to convert Km/h to m/s the factor is 1000/3600
then we have: 75*1.6*0.27=33.33 m/s