The distance traveled by the arrow and horizontal velocity are directly proportional, thus when the distance increases, an increase in initial velocity will allow the arrow to hit the target.
<h3>
Time of motion of the projectile</h3>
If the horizontal distance the projectile would travel before hitting the target is 70.67 m, the time of motion of the projectile is calculated as;
X = Vx(t)
t = X/Vx
t = X/Vcosθ
t = (70.67) / (45 x cos10)
t = 1.6 s
When the archery target is moved further away from the archer, the archer needs increase the initial velocity of the arrow assuming the angle of projection is constant.
Since the distance and horizontal velocity are directly proportional to each other, thus when the distance increases, an increase in initial velocity will allow the arrow to hit the target.
Learn more about velocity of projectile here: brainly.com/question/12870645
Answer:
a) The ratio is .
b) The total stored energy increases after the dielectric is inserted.
Explanation:
<em><u>Before the dielectric is inserted:</u></em>
We have two parallel plate capacitors ( and ), each with a capacitance C, connected in series to a battery that has voltage V.
The two capacitors can be replaced by an equivalent one. The equivalent capacitance for two capacitors in series is
The potential differences across the two capacitors are:
and
The total potential difference is the sum of the potential differences across each capacitor:
The initial stored energy is:
Using instead we have that .
<u><em>After the dielectric is inserted:</em></u>
A dielectric with is inserted between the plates of one of the capacitors while the two capacitors are connected to the battery. The total potential difference reamins the same. If Q is the charge in the plates without the dielectric, in the capacitor with the dielectric the charge increases to and the capacitance to .
Now we have that the equivalent capacitance is:
So the stored energy after the dielectric is inserted becomes:
- So, the ratio is:
- Because if this means that the total stored energy increases after the dielectric is inserted.
Answer:
Focal length, f = 10 cm
Explanation:
We have,
A concave mirror forms a real image at 15.0 cm from the mirror surface along the principal axis, it means that the image distance is 15 cm
The object is placed at a distance of 30 cm, u = -30 cm
It is required to find the focal length of the mirror. Let it is f. Using mirror's formula to find it:
So, the focal length of the mirror is 10 cm.
That's false. It's the other way around. One light year is a distance that's a little farther than 63,000 astronomical units.