Answer:
Length of cable = 16.7 m
Distance from ground = 15.4
New angle between pole and cable = 58.5 degrees
Explanation:
The flagpole forms a right-angled triangle with the cable and the ground.
Let the adjacent side be the flagpole, the hypotenuse be the cable and the ground be the opposite side.
hypotenuse = h
adjacent = 6.8 m
distance from ground = d
angle = 66.0
cos 66 = 6.8/h
h = 6.8/cos 66
h = 16.7 m
tan 66 = d /6.8
d = 6.8 * tan 66
d = 15.3 m
If the cable is brought 4.2 m closer to the pole, new distance = 15.3 - 4.2 = 11.1 m
let new angle be x
tan x = 11.1/6.8
x = tan⁻¹ (11.1/6.8)
x = 58.5 degrees
Answer:
2.03873 s
70.38735 m
4.07747 seconds
5.82688 seconds
27.37482 m from the ground
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
g = Acceleration due to gravity = 9.81 m/s² = a
time needed for the ball to reach its maximum height is 2.03873 s
The time taken to go up and the time taken to reach the point from where it was thrown is the same.
So, time needed for the ball to return to the height from which it was thrown is 2.03873+2.03873 = 4.07747 seconds
The maximum height the ball will reach is 50+20.38735 = 70.38735 m
Time needed to reach the ground is 2.03873+3.78815 = 5.82688 seconds
The time from the maximum height that is required is 5-2.03873 = 2.96127 seconds
The ball will be 70.38735-43.01253 = 27.37482 m from the ground
Voltage, resistance and current are the three components that must be present for a circuit to exist. A circuit will not be able to function without these three components. Voltage is the main electrical source that is present in a circuit. :)
Answer:
True
Explanation:
If we swing a bucket of water fast enough in a vertical circle the water does not spill out even at the top-most position of the bucket. This happens because the centrifugal force acting away from the center in a circular motion neutralizes or overcomes the gravitational force on the water particles.
<u>Centrifugal force is mathematically related as:</u>
where:
m = mass of the revolving body
r = radius of revolution
angular velocity in radians per second
This force F acts in radially outward direction.