Answer: 65mph, 75mph
Explanation:
Let us assume x to be the speed of the slower train, in mph (miles per hour).
Then the speed of the other train is (x+10) mph, according to the question.
We then would have an equation like this
1.6x + 1.6(x+10) = 224.
This is because, the first addend in the left side is the distance covered by the slower train.
The second addend in the left side is the distance covered by the faster train.
The sum is 224 miles, because they together covered all the distance to the moment when they meet each other.
1.6x + 1.6x + 16 = 224
3.2x + 16 = 224
3.2x = 224 - 16
3 2x = 208
x = 208/3.2
x = 65
Thus the speed of the slower train is 65mph, and that of the other train is 65 + 10 = 75mph
The velocity of the boy when he hits the water at the bottom of the slide is 14 m/s.
<h3>
Velocity of the boy at the bottom of the slide</h3>
The velocity of the boy when he hits the water at the bottom of the slide is calculated from the principle of conservation of energy.
K.E = P.E
¹/₂mv² = mgh
v² = 2gh
v = √2gh
where;
- h is height of the boy
- g is acceleration due to gravity
v = √(2 x 9.8 x 10)
v = 14 m/s.
Thus, the velocity of the boy when he hits the water at the bottom of the slide is 14 m/s.
Learn more about velocity here: brainly.com/question/6504879
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You apparently skipped some words and didn't copy them into the question. Fortunately, those words were part of the "red herring" section ... the part that only distracts you, and is completely unnecessary in order to answer the question.
The actual question here is: "What fraction of an hour is 7.2 seconds ?"
(7.2 sec) x (1 hour/3,600 sec) = 7.2 / 3600 = <em>0.002 hour </em>.
P.E = m*g*d
where m is the mass of body , d the vertical distance & g is the gravity acceleration and it equals constant = 9.81 m/s^2
so ,, P.E = 2 * 3 * 9.81
P.E = 58.86 N.m
Answer:
Explanation:
When unpolarized light passes through a polarizer, only the component of the light vibrating in the direction parallel to the axis of the polarizer passes through: therefore, the intensity of light is reduced by half, since only 1 out of 2 components passes through.
So, after the first polarizer, the intensity of light passing through is:
Where is the initial intensity of the unpolarized light.
Then, the light (which is now polarized) passes through the second polarizer. Here, the intensity of the light passing through the second polarizer is given by Malus Law:
where:
is the angle between the axes of the two polarizers
In this problem the angle is
So the intensity after of light the 2nd polarizer is: