Force = [Mass x (velocity)^2]/Radius
Therefore,
The mass and the force are directly proportional.If you double the mass,the force will be doubled too.
A. Its centripetal force would <span>be doubled.</span>
Answer:
97.5%
Explanation:
By the empirical rule (68-95-99.7),
- 68% of data are within <em>μ </em>- <em>σ</em> and <em>μ </em>+ <em>σ</em>
- 95% of data are within <em>μ </em>- 2<em>σ</em> and <em>μ </em>+ 2<em>σ</em>
- 99.7% of data are within <em>μ </em>- 3<em>σ</em> and <em>μ </em>+ 2<em>σ</em>
<em>σ </em> and <em>μ</em> are the standard deviation and the mean respectively.
From the question,
<em>μ</em> = 7.2 cm
<em>σ</em> = 0.38 cm
7.96 = 7.2 + (<em>n</em> × 0.38)
<em>n</em> = 2
Hence, 7.96 represents <em>μ </em>+ 2<em>σ</em>.
P(X < <em>μ </em>+ 2<em>σ</em>) = P(X < <em>μ</em>) + P(<em>μ</em> < X < <em>μ </em>+ 2<em>σ</em>)
P(X < <em>μ</em>) is the percentage less than the mean = 50%.
P(<em>μ</em> < X < <em>μ </em>+ 2<em>σ</em>) is half of P(<em>μ </em>- 2<em>σ</em> < X < <em>μ </em>+ 2<em>σ</em>) = 95% ÷ 2 = 47.5%.
Considering this, for apples that are no more than 7.96 cm,
P(X < 7.96) = P(X < 7.2) + P(7.2 < X < 7.96) = 50% + 47.5% = 97.5%
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Answer:
28.8 meters
Explanation:
We must first determine at which velocity the ball hits the water. To do so we will:
1) Assume no air resistance.
2) Use the Law of conservation of mechanical energy: E=K+P
Where
E is the mechanical energy (which is constant)
K is the kinetic energy.
P is the potential energy.
With this we have 
Where:
m is the balls's mass <- we will see that it cancels out and as such we don't need to know it.
v is the speed when it hits the water.
g is the gravitational constant (we will assume g=9.8
.
h is the height from which the ball fell.
Because when we initially drop the ball, all its energy is potential (and 
) and when it hits the water, all its energy is kinetic (
. And all that potential was converted to kinetic energy.
Now, from we can deduce that 
Therefore v=9.6
Now, to answer how deep is the lake we just need to multiply that speed by the time it took the ball to reach the bottom.
So D=9.6*3
=28.8
Which is our answer.
Answer:
300 clicks...
Explanation:
Output on 3 clicks = 10 dB
Increasing 10 by a factor of 100 equals 1000 dB so,
Its simple math, clicks will also increase in the same ratio and it shall take 300 clicks to increase the volume by a factor of 100.
Answer:
a = 0.098 m/s²
Explanation:
The satellite, at any distance from the center of the Earth, is subject to the attractive force due to the Earth, according to the Newton´s Universal Law of gravitation, as follows:
Fg = G*ms*mE / (rse)²
According to Newton´s 2nd Law, neglecting any other force acted upon the satellite, we can write the following equation:
Fg = ms*a = G*ms*mE / (rse)²
⇒ a = G*mE / (rse)² (1)
As the distance between the satellite and the center of the Earth is 10 times the radius of the Earth, replacing this value in (1), we have:
a = G*mE / (10*RE)² = G*mE/(RE)² * (1/100)
but G*mE/(RE)², is just g, the acceleration due to gravity on the surface of the earth, so the gravitational acceleration due to Earth at satellite A, is as follows:
a = g*(1/100) = 0.01*g = 0.098 m/s²
