Given,
weight of a piece of rock, W = mg = 5N
So, mass of a piece of rock is m = W ÷ g = 5N ÷ 9.8 m/[tex]s^{2}[/tex] = 0.51 kg.
When a force F is applied, it produces an acceleration 'a'. From Newton's second law of motion, F = ma = 0.51 a.
⇒a = F / 0.51.
Acceleration produced by 2nd piece of the rock is a' = 8a.
Assuming the mass of 2nd piece of rock to be same as the 1st piece, force to be applied on 2nd piece is F' = m'a'.
⇒ F' = m' × 8a = 8m'a
If the mass of both pieces of rock are equal, then m' = m = 0.51 kg.
⇒ F' = 0.51kg × 8a
⇒ F' = 0.51kg × 8 (F / 0.51)
⇒ F' = 8F.
Thus, a force equal to 8 times the force applied on 1st piece should be applied on the 2nd piece of the rock to produce an acceleration of 8a (if their masses are equal.
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A cart is set up as shown below, with three fans directed to the left and two of the fans running. The motion of the cart is represented by the v vs t graph shown. If the experiment were repeated with all three fans running, what might the resulting v vs t graph look like?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
a fish looking straight up toward the smooth surface of a pond receives a cone of rays and sees a circle of light filled with the images of sky and birds and whatever else is up there. this bright circular field is surrounded by darkness. explain what is happening and compute the cone angle.
The phenomenon that occurs here is known as the snell's window, and the cone angle is 98 degrees.
To calculate the cone angle,
The cone angle is equal to two times the critical angle which is say, Ф
To calculate the critical angle Ф take the equation sinФ = n1÷n2 where
n1 is the refractive index of air, and n2 is the refractive index of water.
The refractive index of air, n1 = 1,
The refractive index of water, n2 = 1.33,
Substituting these values in the equation sinФ = n1÷n2, the equation becomes
sinФ = 1÷1.33
solving for Ф
Ф = [tex]sin^{-1}[/tex](1÷1.33)
Ф = 49°
Cone angle = 2×Ф
Cone angle = 2×49
Cone angle = 98°.
The phenomenon taking place here is known as snell's window. In this phenomenon, the person under the water sees everything above the surface through a cone of light whose width is about 96°-98°. Whatever is outside this cone appears dark to the person who is under the water. This is caused due to the refraction of light in different mediums.
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assuming that the air friction is responsible for up to 15% momentum or energy loss, discuss how your results have (roughly) confirmed or contradicted the conservation law for elastic collisions if there is no air friction. do different mass configurations show the same physics of conservation (or non-conservation)? why or why not? g
Due to air friction different mass configurations show the same physics of non-conservation.
Momentum in an easy way is an amount of motion. right here quantity is measurable because if an item is transferring and has mass, then it has momentum. If an item no longer passes then it has no momentum. but, in normal lifestyles, it has significance but many humans did not understand it.
Momentum may be described as "mass in motion. All items have mass; so if an item is transferring, then it has momentum - it has its mass in motion. the quantity of momentum that an item has relies upon two variables.
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The element lanthanum has an isotope with an atomic mass of 138. 9 amu and an abundance of 99. 91%. A second isotope has an atomic mass of 137. 9 amu and an abundance of 0. 9%. What is the average atomic mass of lanthanum?.
The average atomic mass of lanthanum that has an isotope with an atomic mass of 138.9 amu and an abundance of 99.9 1% and a second isotope with an atomic mass of 137.9 amu and an abundance of 0.09 % is
Average atomic m = Sum of product of atomic m and % abundance / 100
For isotope 1,
Atomic mass = 138.9 amu
% abundance = 99.91 %
For isotope 2,
Atomic mass = 137.9 amu
% abundance = 0.09 %
Average atomic mass = ( 138.9 * 99.91 ) + ( 137.9 * 0.09 ) / 100
Average atomic mass = 13877.5 + 12.41 / 100
Average atomic mass = 138.9 amu
The average atomic mass or average atomic weight of an element is the weighted average mass or weight of atoms in a naturally occurring sample ( i.e., isotopes ) of the element.
Therefore, the average atomic mass of lanthanum is 138.9 amu
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A substance added to gasoline is found in the wells of people who live miles from a gas station. Is this an example of a point source of pollution or a nonpoint source of pollution? Explain.
I need to get it done right now
The substance added to gasoline and found in the wells of people who live miles from a gas station is an example of non-point source of pollution.
What are point source pollution?Point source pollution are sources of pollution, radiation, waves, fluid or other substance that has one specific location.
On the other hand, non-point source pollution is a combination of pollutants from a large area rather than from specific identifiable sources such as discharge pipes.
According to this question, a substance added to gasoline is found in the wells of people who live miles from a gas station. This suggests that the pollutants enter from a wide array of sources.
Therefore, it can be said that the source of pollution is a non-point source.
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A hiker, of mass 80kg, walks up a mountain, 700m above sea level, to spend the night at the top in the first overnight hut. The second day she walks to the second overnight hut, 400m above sea level. The third day she returns to her starting point, 200m above sea level. What is the potential energy of the hiker at the first hut (relative to sea level)?
The potential energy of the hiker at the first hut is mathematically given as
v = 548800J
What is the potential energy of the hiker at the first hut?Generally, the equation for potential energy is mathematically given as
v = mgh
where,
m = 80kg, g = 9.8, h = 700
therefore
v = 80 x 9.8 x 700
In conclusion, the potential energy of the hiker at the first hut
v = 548800J
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What is the force of gravity pulling on a 12kg block accelerating at 10m/s²?
120N is the force of gravity pulling on a 12kg block accelerating at 10m/s²
F = m × a
F = 10 ×12
F= 120N
How is the potential energy of gravity stored?The mass (m) and height (h) of the item determine how much gravitational potential energy is there. Based on an object's high position relative to a lower location, gravitational energy is potential energy that is stored in the object.
This energy can be utilised later to move an item since it can be stored and utilised at a later time. Three variables—mass, gravity, and height—determine the gravitational potential energy. Energy is directly inversely proportional to all three variables.
Because the highest amount of energy that may be converted into other forms is called potential energy. You need more energy to move the thing at a greater height.
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