l will help and if you get it correctly I will say you are welcome
Answer:
The fountain is 3.43 m high.
Explanation:
Circumference of the pool = 15 m.
C = 2
r
where C is the circumference and r its radius.
r = 
= 
r = 2.3864
radius of the pool = 2.40 m
So that the height of the fountain, h, can be determined by applying trigonometric function.
Tan θ =
Tan 55 = 
h = Tan 55 x 2.4
= 1.4282 x 2.4
= 3.4277
h = 3.43 m
The height of the fountain is 3.43 m.
Therefore the world's record high temperature of 134.0°F (56.7°C) is held by Furnace Creek Ranch in Death Valley, California. That global high temperature was attained on July 10, 1913.
To solve this problem it is necessary to apply the concepts related to rotational kinetic energy, the definition of the moment of inertia for a sphere and the obtaining of the radius through the circumference. Mathematically kinetic energy can be given as:

Where,
I = Moment of inertia
Angular velocity
According to the information given we have that the radius is



With the radius obtained we can calculate the moment of inertia which is



Finally, from the energy equation and rearranging the expression to obtain the angular velocity we have to



Therefore the angular speed will the ball rotate is 25.95rad/s
Answer:
0.37sec
Explanation:
Period of oscillation of a simple pendulum of length L is:
T
=
2
π
×
√
(L
/g)
L=length of string 0.54m
g=acceleration due to gravity
T-period
T = 2 x 3.14 x √[0.54/9.8]
T = 1.47sec
An oscillating pendulum, or anything else in nature that involves "simple harmonic" (sinusoidal) motion, spends 1/4 of its period going from zero speed to maximum speed, and another 1/4 going from maximum speed to zero speed again, etc. After four quarter-periods it is back where it started.
The ball will first have V(max) at T/4,
=>V(max) = 1.47/4 = 0.37 sec