<span>4.5 m/s
This is an exercise in centripetal force. The formula is
F = mv^2/r
where
m = mass
v = velocity
r = radius
Now to add a little extra twist to the fun, we're swinging in a vertical plane so gravity comes into effect. At the bottom of the swing, the force experienced is the F above plus the acceleration due to gravity, and at the top of the swing, the force experienced is the F above minus the acceleration due to gravity. I will assume you're capable of changing the velocity of the ball quickly so you don't break the string at the bottom of the loop.
Let's determine the force we get from gravity.
0.34 kg * 9.8 m/s^2 = 3.332 kg m/s^2 = 3.332 N
Since we're getting some help from gravity, the force that will break the string is 9.9 N + 3.332 N = 13.232 N
Plug known values into formula.
F = mv^2/r
13.232 kg m/s^2 = 0.34 kg V^2 / 0.52 m
6.88064 kg m^2/s^2 = 0.34 kg V^2
20.23717647 m^2/s^2 = V^2
4.498574938 m/s = V
Rounding to 2 significant figures gives 4.5 m/s
The actual obtainable velocity is likely to be much lower. You may handle 13.232 N at the top of the swing where gravity is helping to keep you from breaking the string, but at the bottom of the swing, you can only handle 6.568 N where gravity is working against you, making the string easier to break.</span>
Answer : The volume of water in the pool is, 2473 ft³
Explanation :
First we have to calculate the average depth.
Given:
Diameter = 30 ft
Depth range : 1 to 6 ft linearly
average depth =
Now we have to calculate the volume of water in the pool.
Volume = area × average depth
V = π × (radius)² × 3.5
V = π × (30/2)² × 3.5
V = π × (15)² × 3.5
V = π × 225 × 3.5
V = 3.14 × 225 × 3.5
V = 2472.75 ft³ ≈ 2473 ft³
Therefore, the volume of water in the pool is, 2473 ft³
Answer:
a. the ratio of the speed of light in a vacuum to the speed of light in the material it is passing though
Explanation:
When a light ray enters from one medium to another, it bends. This is because the speed of light decreases as it enters a medium having more optical density. The speed of light is maximum in vacuum.
The refractive index determines the optical density of a medium. It is the ratio of the speed of light in the vacuum (c) to the speed of light in the material it is passing through (v).
1)the edges where two plates meet are plate boundaries.
2)a sudden slip on a fault triggers an earthquake as stress in the edge overcomes the tension that releases energy into waves that move through the surface of the earth and cause a shake.
3)motion of the ground, aftershocks, shuddering, trembling, wobbling, crashing, falling, breaking, and more
4) the outer layer of Earth is the crust (lithosphere) which is made up of hot molten rock and granite.
