Approximately what is the radius of a copper atom? Is it , , , , or ?
The approximate radius of a copper atom is .
The given atom is the copper atom.
We need to find the radius for the copper atom and that too in the proximity of the given values.
The radius of a copper atom can be calculated as,
From equation (I), the approximate radius of a copper atom can be calculated as,
Thus, the approximate radius is .
A particular spring-mass oscillator oscillates with period T. Write out the general equation for the period of such an oscillator to use as a guide when answering the following questions. (a) If you double the mass but keep the stiffness the same, by what numerical factor does the period change? (That is, if the original period was T and the new period is bT. what is b?) (b) If, instead, you double the spring stiffness but keep the mass the same, what is the factor b? (c) If, instead, you double the mass and also double the spring stiffness, what is the factor b? (d) If, instead, you double the amplitude (keeping the original mass and spring stiffness), what is the factor b?
In the approximation that the Earth is a sphere of uniform density, it can be shown that the gravitational force it exerts on a mass m inside the Earth at a distance r from the center is , where R is the radius of the Earth. (Note that at the surface, the force is indeed mg, and at the center it is zero). Suppose that there were a hole drilled along a diameter straight through the Earth, and the air were pumped out of the hole. If an object is released from one end of the hole, how long will it take to reach the other side of the Earth? Include a numerical result.
A mass of is connected to a horizontal spring whose stiffness is role="math" localid="1657769591862" . When the spring is relaxed, The spring is stretched so that the initial value of . The mass is released from rest at time role="math" localid="1657769734196" . Remember that when the argument of a trigonometric function is in radians, on a calculator you have to switch the calculator to radians or convert the radians to degrees. Predict the position x when.
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