Answer:
<em>61.9°</em>
Explanation:
The formula for calculating the workdone is expressed as
Workdone = Fdsin theta
F is the force applied on the crate
d is the distance covered
theta is the angle that the rope makes with the horizontal
Given
F = 40N
d = 7m
Workdone = 247J
Substituting into the formula:
247 = 40(7)sin theta
247 = 280sin theta
sin theta = 247/280
sin theta = 0.88214
theta = arcsin(0.88214)
theta = 61.9°
<em>Hence the angle that the rope makes with the horizontal is 61.9°</em>
<span>d. 93 billion miles
</span>Earth, being the third planet from the sun is unique in the universe because it is currently the only planet known to support life. Earth's distance from the sun is really one of the key reasons why it is has widespread life.Earth occupies what scientists sometimes call the Goldilocks zone. Its distance from the sun means its neither too hot nor too cold to support liquid water. Water is thought to be a key ingredient for life.<span> The energy from the sun in just the right intensity and the availability of water on the earth make it possible for life to thrive on earth. Plants use both these resources for photosynthesis and make nutrients that are available to support the life of animals on the earth. </span>
Lunar<span> eclipses are governed by the same principle as solar eclipses: In this case however, the </span>Earth<span> 'slides itself' between the </span>Moon and the Sun<span>.</span>
Answer:
The capacitor will charge
Explanation:
When the capacitor is connected to the circuit containing the battery and the resistor, charges (electrons) will start flowing through the circuit, pushed by the electromotive force produced by the battery. In particular:
- electrons will flow from the negative terminal of the battery to one plate of the capacitor
- electrons will flow from the other plate of the capacitor to the positive terminal fo the battery
(It's important to keep in mind that the electrons never cross the gap between the plates of the capacitor.)
Therefore, negative charge will accumulate on one plate of the capacitor and positive charge will accumulate on the other plate: and so, there will be an increasing potential difference across the plates of the capacitor. Due to this increasing potential difference, it will become more and more difficult for the battery to "push" electrons on the negative plate (and to remove them from the other plates), so the current in the circuit will keep decreasing.
The process stops when the potential difference across the gap of the capacitor is equal to the e.m.f. of the battery: at this point, there is no more current in the circuit, and the capacitor is said to be fully charged.
