Physics, 04.08.2019 14:00 emocow

As a pendulum moves closer to the equilibrium position, how do the velocity, acceleration, and force change? a. the velocity decreases, the acceleration decreases, and the net force decreases. b. the velocity increases, the acceleration decreases, and the net force decreases. c. the velocity increases, the acceleration increases, and the net force decreases. d. the velocity decreases, the acceleration increases, and the net force increases.

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Answer from: bob7220

B. The velocity increases, the acceleration decreases, and the net force decreases.

Explanation:

- Velocity: as the pendulum moves closer to the equilibrium position, its gravitational potential energy decreases (because the height decreases), and therefore for the law of conservation of energy, the kinetic energy increases. But the kinetic energy is proportional to the square of the velocity:

$K=\frac{1}{2}mv^2$

So, this means that the velocity increases as well.

- Acceleration: the acceleration of the pendulum is equal to the horizontal component of the gravitational acceleration, given by:

$a=g sin \theta$

where g=9.8 m/s^2 and $\theta$ is the angle the pendulum forms with the vertical. As the pendulum approaches the equilibrium position, $\theta$ becomes smaller, therefore the acceleration decreases.

- Net force: the net force is the force acting on the horizontal direction, i.e. the horizontal component of the weight :

$F=mg sin \theta$

where m is the mass of the pendulum. As the pendulum approaches the equilibrium position, $\theta$ becomes smaller, therefore the net force decreases.

Answer from: Quest

the answer is c.)

explanation:

Answer from: Quest

An atom (ours, not carroll's) consists of a positively charged nucleus, surrounded by one or more negatively charged particles called electrons. the positive charges equal the negative charges, so the atom has no overall charge; it is electrically neutral. most of an atom's mass is in its nucleus; the mass of an electron is only 1/1836 the mass of the lightest nucleus, that of hydrogen. although the nucleus is heavy, it is quite small compared with the overall size of an atom. the radius of a typical atom is around 0.1 to 0.25 nanometres (nm), whereas the radius of a nucleus is about 10-6 nm. * if an atom were enlarged to the size of the earth, its nucleus would be only 200 feet in diameter and could easily rest inside a small football stadium.read more on -

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As a pendulum moves closer to the equilibrium position, how do the velocity, acceleration, and force...

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