Answer:
The answer to the question is
Its maximum speed is 1.54 m/s
Explanation:
Work done = Kinetic energy
0.5·m·v² = 0.5·k·x²
Where
m = mass
v = velocity
k = spring constant
x = extension of the spring
We note that Force F is given by
F = m·a
Where
a = acceleration due to gravity
= 0.153×9.8 = 1.4994 N
Equating the work done by the force to the work done on the spring gives
Work done = Force × Distance = 1.4994×x = 0.5×k÷x² = 0.5×24.7×x²
x = 1.4994÷12.35 = 0.121 m
Substituting the value of x into the equation below gives
0.5·m·v² = 0.5·k·x²
0.5×0.153×v² = 12.35×0.121²
v² = 0.182÷0.0765 = 2.379
v = 1.54 m/s
<u>Answer:</u>
<em>The amount of water entering the earth through precipitation is equal to the amount of water leaving earth through transpiration.</em>
<u>Explanation:</u>
Rates of precipitation and evaporation vary widely according to regions and seasons. But in a global scale the rates are equal. Thus the total amount of earth’s water maintains its constancy even though there is a continuous change in forms of water.
Evaporation and transpiration are the forms in which Water leaves the earth and it returns to the earth in various forms of precipitation like rain, snow, dew, fog etc. This water then reaches ocean and land. The water that reaches the land flows as surface run off into rivers and water bodies or seep into the ground replenishing the ground water table.
Answer:
No
Explanation:
No, because charge is quantized.
Electric charge is quantized, meaning that it occurs in discrete units.
So it can't continue to be divided, every accumulation of charge is an even multiple of this number (e=1.609×10^-19), and fractional charges cannot exist.
Answer:
A). A few of the positive particles aimed at a gold foil seemed to bounce back off of the thin metallic foil.
Explanation:
Scientists decided to change the model of the atom when they discovered new evidence that showed 'few of the positive particles aimed at a gold foil seemed to bounce back off of the thin metallic foil.' On this ground, <u>Rutherford concluded that atom is mostly made up of empty space and thus, he proposed a nucleus model of atom in which the atom comprises of the tiny and positively charged nucleus is surrounded by electrons with a negative charge</u>. Thus, <u>option A</u> is the correct answer.
Answer:
<em>The speed of the passengers is 5.24 m/s</em>
Explanation:
<u>Uniform Circular Motion
</u>
It occurs when an object in a circular path travels equal angles in equal times.
The angular speed can be calculated in two different ways:
Where:
v = tangential speed
r = radius of the circle described by the rotating object
Also:
Where:
f = frequency
Since the frequency is calculated when the number of revolutions n and the time t are known:
The Ferris wheel has a diameter of 100 m and makes n=1 rotation in t=60 seconds, thus the frequency is:
The angular speed is:
Now we calculate the tangential speed, solving this formula for v:
The radius is half the diameter, r=100/2=50 m:
Calculating:
v = 5.24 m/s
The speed of the passengers is 5.24 m/s