Let denote the angle made by a given force with the positive <em>x</em>-axis (pointing right). So in (1), <em>A</em> makes an angle of 90º - 30º = 60º, and <em>B</em> makes an angle of -45º; and in (2), <em>A</em> still makes angle of 30º, <em>B</em> makes an angle of -15º, and <em>C</em> makes one of -90º.
Separate each force vector in to <em>x</em>- and <em>y</em>-components, then compute the required vector. This involves writing each given vector as
where
(1)
(2)
In a series circuit, there's only one path for current, so the current
for each bulb has to go through all of them.
If one bulb stops shining ... either because it burned out, or because
somebody unscrewed it and ran away with it ... then no current can flow
through the place where that bulb used to be, and they ALL go out.
This is the main reason why the lights in your house are NOT in series.
There are a lot of other reasons.
Answer: 3.65 m
Explanation:
from the question we have
angular speed = 33.3 rpm
coefficient of static friction (μ) = 0.3406
acceleration due to gravity (g) = 9.8 m/s^2
to get how far from the center of the turntable can the coin can be placed without having to slip off we equate the formula for the centrifugal force with the frictional force on the turntable force
mv^2 / r = m x g x μ
v^2 / r = g x μ .......equation 1
where
velocity (v) = angular speed (rads/seconds) x radius
we have to convert the angular speed from rpm to rads/seconds
angular speed (rads/seconds) = (2π / 60 ) x rpm
angular speed (rads/seconds) = ((2 x π) / 60 ) x 33.3 = 3.49 rads/ seconds
now
velocity = 3.49 x r = 3.49r
now substituting the value of velocity into equation 1
v^2 / r = g x μ
(3.49r)^2 / r = 9.8 x 0.3406
12.18 x r = 3.34
r = 3.65 m
Answer:
36 N
Explanation:
The tension on the string :
T =mv²/r ------where
m= mass of object = 8 kg
v= tangential velocity = 3 m/s
r= length of the string = 2m
T= [ 8 * 3² ] / 2
T= 36 N
They are called lubricants.