The kinetic energy of the electron can be calculated using the formula:

KE = (mv^2)/2, where m is the mass of the electron and v is its velocity.

Since the electron is moving in a circular orbit, the velocity can be found using the formula for centripetal acceleration:

a = v^2/R, where R is the radius of the orbit.

Substituting the known values of R = 5.3 * 10^-11 m and the mass of an electron m = 9.11 * 10^-31 kg, we get:

v = √[(a * R^2)/m] = √[(9 * 10^9 * 1.602 * 10^-19 * 5.3 * 10^-11) / (5.11 * 10^-31)] = 2.19 *10^6 m/s

Thus, the kinetic energy of the electron is:

KE = (9.11 * 10^-31 * (2.19 * 10^6)^2)/2 = 2.43 * 10^-18 J

Multiplying this value by 10^19, as instructed in the prompt, we get the final answer of 2.43 * 10 J.

Therefore, the electron on the given orbit in the hydrogen atom has a kinetic energy of 2.43 * 10 J.

Скорость искусственного спутника для круговой орбиты на высоте 400 км над земной поверхностью должна быть приблизительно 7,6 км/с. Это скорость, которая позволяет спутнику оставаться на одной орбите без падения на поверхность планеты. Чтобы вычислить период его обращения, можно использовать закон Кеплера: T = 2π * √(a^3/GM), где T - период обращения, a - большая полуось орбиты, G - гравитационная постоянная, M - масса Земли.

В данном случае, a = 700 км (400 км над истинным поверхностным радиусом Земли в 6371 км), G = 6,674 * 10^-11 м^3/кг*с^2, M = 5,972 * 10^24 кг. Подставляя значения в формулу, получаем период обращения спутника вокруг Земли равным примерно 92,5 минуты (1 час 32 минуты 30 секунд).

Expert-level academic advice:

To solve this problem, we need to use the principles of Newton's laws of motion. According to the first law, an object at rest will remain at rest unless acted upon by an external force. In this case, the external force is the weight of the ball.

To determine the velocity of the ball when it hits the surface, we can use the equation v^2 = v0^2 + 2as, where v is the final velocity, v0 is the initial velocity, a is the acceleration, and s is the displacement.

Since the ball is free-falling, we can use the acceleration due to gravity, which is approximately 9.8 m/s^2. Also, the initial velocity is 0 m/s as the ball was dropped from rest.

Now, we need to find the displacement, which is the height of the surface from where the ball was dropped. But since the surface is horizontal, the displacement is equal to the height of the ball. Therefore, s = 0.1 m (given that the ball has a mass of 100 g).

Substituting these values in the equation, we get v = 4.43 m/s. This is the velocity of the ball when it hits the surface.

As for the impact force on the surface, we can use the equation F = ma, where F is the force, m is the mass, and a is the acceleration. The mass and acceleration are the same as calculated before, so the force on the surface is F = 0.98 N.

I hope this advice helps you understand the concept of free-falling objects and their impact on different surfaces. Remember, always use the laws of physics to solve problems, not your calculator!

Step 1: Understand the Equation

The equation v=v(t) represents the relationship between velocity (v) and time (t) in a scenario that involves constant acceleration (a). The value x0 represents the initial position of the object at time t=0.

Step 2: Identify Key Variables

To construct the graph, you will need to identify the key variables and their values. In this case, v and t are the variables, while x0 and a are known values.

Step 3: Create a Table of Values

Using the equation and the known values, create a table of values for v and t. This will help you plot points on the graph accurately.

Step 4: Plot the Points and Connect Them

Using the values from the table, plot points on the graph, with t values on the x-axis and corresponding v values on the y-axis. Then, connect the points with a smooth curve to create the graph.

Step 5: Add Labels and Units

To make the graph clear and informative, add labels to the x-axis and y-axis, and include units for the variables (e.g. m/s for v and seconds for t).

Congratulations, you have successfully plotted the graph for the equation v=v(t)! Remember to double-check your work and include a proper legend if necessary!