According to the Question:
[tex]\footnotesize\implies F \propto [m]^x [v]^y [r]^z[/tex]
[tex]\footnotesize\implies F =k [m]^x [v]^y [r]^z \:...(i)[/tex]
K = Dimensionless ConstantNow, substituting Dimensions of each physical quantity in equation (I):
[tex]\footnotesize\implies [M^1L^1T^{-2}] =[M^1L^0T^0]^x [M^0L^1T^{-1}]^y [M^0L^1T^0]^z[/tex]
[tex]\footnotesize\implies [M^1L^1T^{-2}] =[M]^x [L]^{y + z} [T]^{ - y}[/tex]
On comparing the powers of LHS and RHS:
[tex]\implies \bf x = 1[/tex]
[tex]\implies - y = - 2[/tex]
[tex] \implies \bf y = 2[/tex]
[tex]\implies y + z = 1[/tex]
[tex]\implies z = 1 - 2[/tex]
[tex]\implies \bf z = - 1[/tex]
[tex]\footnotesize\implies F = [m]^x [v]^y [r]^z[/tex]
[tex]\footnotesize\implies F = [m]^1 [v]^2 [r]^{ - 1}[/tex]
[tex]\implies\footnotesize \underline{ \boxed{ \bf \red{ F = \frac{m {v}^{2} }{r} }}}[/tex]
1. When a 50,000 kg rocket blasts off there is a large force that acts on the rocket at the moment
of take off. In 0.137 seconds, the rocket suddenly has traveled 4.2 meters. What force from
the rocket engines caused the acceleration? (Hint: first find acceleration.)
Hi there!
We can begin by calculating the acceleration using the kinematic equation:
d = vit + 1/2at²
Since the rocket starts from rest, we can rewrite this as:
d = 1/2at²
Plug in given values:
4.2 = 1/2a(0.137²) ⇒ a = 447.55 m/s²
Now, we can use Newton's Second Law to find the appropriate force:
∑F = m · a
∑F = 50,000 · 447.55 = 22,377,500 N
Which molecule is a high-energy output of the light reactions?.
Answer:
Gallium Arsenine
Explanation:
what is radiation?....
Answer:
the emission of energy as electromagnetic waves or as moving subatomic particles, especially high-energy particles which cause ionization.
is called radiation
Answer:
Radiation is energy that comes from a source and travels through space at the speed of lightExplanation:
I hope it's help u
What’s the mass of the continent?
Answer:
Assume that the north american continent can be respanterd by a slab of rock 4000 km on a side and 30 km deep and that the rockiam help for youthankscommentflowingwhat characteristic of liquids makes them pourbale
Liquids are pourable because they do not maintain a "solid" structure as solids do, but still have structure, unlike gasses. Why is this? The forces between liquid particles are weaker than the forces between solid particles. The particles are further apart and move around more easily.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Will a dead animal decay faster if it died in the hot summer or in the cold winter?
Answer:
hot summer
Explanation:
it's common sense
Answer:
Hot summer
Explanation:
If the body is exposed to heat then it would decompose faster because the climate is more humid. Whereas if it was in the cold winter then it would decompose slower (not to mention that it could freeze causing it not to decompose at all).
Voltage ______
Question 1 options:
is measured in Volts
causes current
pushes free electrons around a circuit
all of the choices
all of the choices.
Explanation:
....
choose 3 ways to keep our bodies healthy
. play in the mud
.sanitize your hands
. break a window
. eat vegies
. eat burgers
. take daily showers
. bite your arm
(i already know it)
If your neighbor leaves his house, walks 2 miles south, then turns around and walks home, what is his displacement?
Answer:
0
Explanation:
The neighbors displacement is 0 as displacement is how far the person is from their starting location. If they walk 2 miles away and then head back those 2 miles back to their house; 2-2=0
What quantity is represented by the mass number minus the atomic number?.
Answer:
Mass = mass of nucleus
Atomic Number = number of protons (charge) of nucleus
Mass - Atomic Number = number of neutrons
Leverrier predicted that an invisible planet was pulling the planet Uranus off its predicted course around the sun. Likewise, human beings are pulled off course by the invisible forces of their ____________.
Human beings are pulled off course as a result of the invisible forces of the unconscious.
According to Leverrier, he stated that an invisible planet was pulling the planet Uranus off its predicted course around the sun.
In such a way, human beings are pulled off course by the invisible forces of their unconscious minds. The unconscious minds of people control the thoughts of people.
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How do atoms join together?
Answer:
Atoms can be joined together by chemical bonds.
Explanation:
When atoms form bonds, they can achieve a stable electron arrangement. To achieve a stable electron arrangement atoms can lose, gain or share electrons. There are many different types of bonds that hold atoms together.
Answer:
Atoms come together to form molecules because of their electrons. Electrons can join (or bond) atoms together in two main ways. When two atoms share electrons between them, they are locked together (bonded) by that sharing. These are called covalent bonds.
Explanation:
HEEEEEELLLLLLLLPPPPPPPP!!!!!!!!!!
Answer:
True
True
False (Temperature measures the average kinetic energy of the particles in a substance. Thermal energy measures the total kinetic energy of the particles in a substance.)
False (is true only if both object have the same mass)
False (it's 100°)
True
True
True
True
False (Substances with a high specific heat require a lot of heat to have their temperature raised by one degree. On the other hand, substances with a low specific heat require a smaller amount of heat, like most metals)
State the universal law of gravitation.
Answer in detail
Answer:
Explanation:
Newton's law of universal gravitation is that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
A 46.5-kg ball has a momentum of 57.2 kg m/s. What is the ball's speed?
Answer:
1.23 m/s
Explanation:
p=mv
57.2 = 46.5v
v= 57.2/46.5
v= 1.23
If you want to verify your answer, just insert the value of v in the equation.
Rubies are used in electronics.
Please select the best answer from the choices provided
) Т
) F
An object weighs 15 N in air and 13 N when submerged in mineral spirits, which has a density of 788 kg/m3. Determine the density of the object
The density of the object is 5911.94 kg/m³
An object's buoyancy is the upward force produced by a fluid in opposition to the weight of a partly or totally submerged object.
The buoyancy = weight of the object - weight in water
= 15 N - 13N
= 2 N
The buoyancy force can also be determined by using the expressed:
[tex]\mathbf{F_B = Volume (V) \times density ( \rho) \times g}[/tex]
[tex]\mathbf{2 = Volume (V) \times788 \ kg/m^3 \times9.8 }[/tex]
[tex]\mathbf{ Volume (V) = \dfrac{2}{ 788 \ kg/m^3 \times9.8 }}[/tex]
volume (v) = 2.589 × 10⁻⁴m³
Recall that:
The mass of an object can be estimated by using the formula:
Weight = mass × gravity
mass = Weight / gravity
mass = 15/9.8
mass = 1.5306 kg
The density of the object can now be calculated using the relation
Density = mass/volume
Density = 1.5306 kg / 2.589 × 10⁻⁴m³
Density = 5911.94 kg/m³
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the primary factor in decreasing the kinetic energy of an object is to
Answer:
Decreasing the velocity
Explanation:
The primary factor in decreasing the kinetic energy of an object is to decrease the velocity of the object.
What is Kinetic energy?The kinetic energy of an object is the energy which it possesses due to the motion of the object. Kinetic energy is defined as the work which is needed to accelerate an object of a given mass from the state of rest to its stated velocity and direction. Gain of the energy during the acceleration of an object, the body maintains this kinetic energy unless its speed changes and the object accelerates.
The kinetic energy is directly proportional to the mass and the velocity of the object. The primary factor which is responsible for the decrease in the kinetic energy of an object is to decrease the velocity of the object.
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#SPJ6
The main goal of every defense is to __________. A. stop the ball B. regain possession of the ball C. protect the goal or basket D. all of the above
Answer:
D.
Explanation:
I believe it is D. Because in defense you are to stop others from scoring, while trying to score. But also while trying to protect the Goal or basket. I hope this helps you out.
Answer:
d
Explanation:
A block of weight W is pulled a distance L along a horizontal table. The work done by the weight is ?
What two things must be true about a sample in order to date it via radiocarbon dating by evaluating the decay of carbon-14
A. It must be inorganic and be at least 50,000 years old
B. It must be a marine animal and must have died recently
C. It must be organic and less than 50,000 years old
D. It must be a land animal and must have died recently
Carbon -14 is a dating method that is applicable to only samples of organic origin which are less than 50,000 years old.
When living things contain carbon- 14. Carbon - 14 is a radioactive isotope of carbon that decays by beta emission. As long as a plant or animal is alive, there is a balance between its intake and output of carbon -14.
However, when the plant or animal dies, this carbon - 14 begins to decay. The half life of carbon - 14 is 5700 years and it can be used to measure the age of materials or organic origin that are less than 50,000 years old.
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What can the magnetic fields influence?
A) It can cause objects to be pulled towards the magnet and pushed away from the magnet.
B) It only causes a repel force between the magnets.
C)It cause only an attraction force.
Explanation:
Magnetic fields are areas where an object exhibits a magnetic influence. The fields affect neighboring objects along things called magnetic field lines. A magnetic object can attract or push away another magnetic object. You also need to remember that magnetic forces are NOT related to gravity.
Some houses are built with very thick walls. Explain how these walls help to keep the houses
warm in the winter.
Thicker walls provide more materal for .......
to travel through from the inside to outside, so the
is less, keeping the houses warmer.
(2 marks)
Answer: It banks night-time cool to bring temperatures down in the day, and warms up over the course of the day and then releases the warmth at night. Thick walls or exposed solid floors can provide thermal mass. The shape of buildings matters too, and the orientation around each other so that the wind moves in particular ways. Hope this helps, tell me if I need to add anything. :))
Where could light travel the easiest and fastest?
A) through air
B) through empty space
C) through liquid hydrogen
Explanation:
Light travels fastest through air
Answer:
try through air
Explanation:
1. A 12 kilogram block is sitting on a platform 24 m high. How much Potential energy does
it contain?
The amount of potential energy the block contains is 2,822.4 Joules
Given the following data:
Mass of block = 12 kgHeight of platform = 24 meters.We know that the acceleration due to gravity (g) of an object on planet Earth is equal to 9.8 [tex]m/s^2[/tex].
To determine the amount of potential energy the block contains:
Mathematically, potential energy (P.E) is given by the formula;
[tex]P.E = mgh[/tex]
Where:
m is the mass of object.g is the acceleration due to gravity.h is the height of an object.Substituting the parameters into the formula, we have;
[tex]P.E = 12 \times 9.8 \times 24[/tex]
Potential energy (P.E) = 2,822.4 Joules
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Taking Earth to be a perfect sphere, find the linear speed of a point located on the 32nd parallel, as a result of Earth’s rotation. The 32nd parallel north is a circle of latitude that is 32 degrees north of the Earth's equatorial plane. Take the Earth's radius to be 6,371,000 m
The linear speed of a point located on the 32nd parallel, as a result of Earth’s rotation is 392.91 m/s
We find the linear speed of a point on the 32nd parallel from v = rω where r = radius of 32nd parallel north = Rcos32° (since it is the radius of the small circle at the 32nd parallel) where R = radius of earth = 6,371,000 m and ω = angular speed of the earth = 2π/T where T = period of earth = 24h = 24 × 60 × 60 s = 86400 s.
So, v = rω
v = Rcos32° × 2π/T
v = 2πRcos32°/T
substituting the values of the variables into the equation, we have
v = 2πRcos32°/T
v = 2π × 6,371,000 m × cos32°/86400 s.
v = 2π × 6,371,000 m × 0.8480/86400 s.
v = 33947512.5035 m/86400 s
v = 392.91 m/s
So, the linear speed of a point located on the 32nd parallel, as a result of Earth’s rotation is 392.91 m/s
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is putting water in a water bottle increasing its mass?
Answer:
No
Explanation:
Answer:
yes
Explanation:
You are carrying a heavy bag of sand, not realizing it has a hole in the bottom. As you are walking, the bag becomes easier to carry. Explain this situation using Newton's Second Law
Newtons second law of motion states that, the force acting on a body is directly proportion to the mass times the acceleration of the body
The equation use to represent the second law is given below
F = ma
Explanation of the situation: When the heavy bag was being carried initially , the full weight will be felt, but as the bag keeps losing more sand the weight will be reducing and so the force the person carrying the bag will feel will become less and this will go on as more sand keeps dropping off the bag
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A boulder of mass 10 kg rolls over a cliff and reaches the beach below with a velocity of 15 m/s. Find:
a. the kinetic energy of the boulder as it lands;
b. the potential energy of the boulder when it was at the top of the cliff
c. the height of the cliff.
Answer:
formular kinetic energy=1/2 ×vIn a hydraulic press a force of 200N is applied to a master piston of area 25Cm2.if the press produces 500N determine the area of the piston.
Answer:
625 GIVE ME BRAINLIEST ANSWER PLEASE
Explanation:
This question is based on pascal's Law.
So By Pascal's Law
=
therefore =force on input piston =200N
= Force on output piston = 5000N
therefore after putting the values we get,
a) = (25x 5000)/200
= 625
b) area of the salve piston = = 625
so = 625/3.14 = 199
so r = = 14.10 cm
