The mass of the boulder is equal to 16.10 kilograms.
Given the following data:
Height of cliff = 45 mPotential energy = 7,100 JoulesAcceleration due to gravity = 9.8 [tex]m/s^2[/tex]To determine the mass of the boulder:
Mathematically, potential energy (P.E) is calculated by using the following 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.Making m the subject of formula, we have:
[tex]m = \frac{P.E}{gh}[/tex]
Substituting the given parameters into the formula, we have;
[tex]m=\frac{7100}{9.8 \times 45} \\\\m=\frac{7100}{441}[/tex]
Mass, m = 16.10 kg
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I don't understand when to use the formule with the constant k, and when to use the formula without it.
In the exercise that i sent here, they use the formule with a constant but I don't get why.
Can someone help me out please?
Thanks.
Answer:
This appears to be the formula for the electrical force between 2 objects.
You need this constant to calculate the electrical force between 2 charged objects.
Note that k = (1 / 4 * π ∈0)
∈0 is called the permittivity constant and ∈0 = 8.85E-12 farad/m
k = ( 1 / (4 * 3.28 * 8.85E-12) = 8.99E9
This makes F reasonably easy to remember as
F = 9E9 Q1 * Q2 / R^2 Newtons for the electrical force between Q! and Q2 separated by R
Objects 1 and 2 attract each other with a gravitational force
of 18.0 units. If the mass of Object 1 is doubled mass of object 2 is tripled AND the
distance separating Objects 1 and 2 is halved, then the gravitational force will be
new gravitational force will be
units.
The new gravitational force of the two objects will be 432 N.
The given parameters:
Force between object 1 and object 2, F = 18 NLet the mass of object 1 = m1Let the mass of object 2 = m2Let the distance between the two object = rThe gravitational force between the two objects is calculated by applying Newton's law of universal gravitation;
[tex]F = \frac{Gm_1m_2}{r^2} \\\\G = \frac{Fr^2}{m_1m_2}\\\\G = \frac{Gm_1m_2}{r^2} \\\\G = \frac{18r^2}{m_1m_2}[/tex]
when the mass of the object 1 = 2m1mass of the object 2 = 3m2distance between the two object = ¹/₂r[tex]\frac{18r^2}{m_1 m_2 } = \frac{F_2(\frac{1}{2}r)^2 }{2m_1 \times 3m_2} \\\\\frac{18r^2}{m_1 m_2 } = \frac{F_2 \times r^2}{4 \times 2m_1 \times 3m_2} \\\\\frac{18r^2\times 4 \times 2m_1 \times 3m_2}{m_1 m_2\times r^2 } = F_2\\\\432 \ N = F_2[/tex]
Thus, the new gravitational force of the two objects will be 432 N.
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You are trying to find the amount of heat transferred between two substances. In order to do this, you plan
to place both substances in a thermally isolated container and wait until the system reaches thermal
equilibrium. You need to decide what measurements you should take.
Remember that heat transfer is described by the equation Q =mcAT where m is the mass, c is the
specific heat, and AT is the change in temperature. Assume you are able to look up the specific heat
capacities of both substances.
Which of the following sets of measurements would best allow you to determine the heat transfer
between the two substances?
The mass, the initial and the final temperature would let you determine the heat transfer between two substances.
What is meant by heat transfer?Heat transfer refers to the movement of thermal energy from one location or substance to another as a result of a difference in temperature. There are three primary mechanisms for heat transfer: conduction, convection, and radiation.
Conduction is the transfer of heat through direct contact of substances, such as when heat travels from a hot pan to your hand through the handle.
Convection is the transfer of heat through the movement of a fluid, such as when hot air rises and cool air sinks.
To determine the heat transfer between two substances, you need to measure their mass, initial temperature, and final temperature. With these measurements, you can calculate the change in temperature (AT) and use the equation Q = mcAT to determine the heat transfer. The specific heat capacities of both substances can be looked up.
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how long does it take a man to travel 6 km if his speed is 3km/h?
why did my answer get deleted??
oh yeah i put a link on there- oopsies.
I wont this time!
I got 30!
Which does not apply to unbalanced forces?
Net force = 0
Have direction
Net force does not = 0
Changes an object's motion
Answer:
Net force = 0
Explanation:
Whenever there is an unbalanced force, it shows that the net force doesn’t = 0 because if net force = 0, then everything force is balanced by another force. If there is an unbalanced force, acceleration will occur in the direction the net force is towards.
you push on a 24.5kg bag of sand and give it an acceleration of 2.30 m/s ^s. what is the magnitude of the force the bag returns …
Answer:
Below in bold.
Explanation:
Newton's Second Law:
Force = mass * acceleration
So
Force = 24.5 * 2.3
= 56.35 Newtons.
A net force of 79 N causes a mass to accelerate at a rate of 3 m/s2. Determine the mass
A bullet having mass of 120 g is fired. It its velocity is 40 m/s, calculate its kinetic energy
Happy Holidays!
Recall the equation for kinetic energy:
[tex]\large\boxed{KE = \frac{1}{2}mv^2}}[/tex]
KE = kinetic energy (J)
m = mass (kg)
v = velocity (m/s)
Begin by converting 120 g to kg:
1000g = 1 kg
120 g = .120 kg
Plug in the given values:
[tex]KE = \frac{1}{2}(.120)(40^2) = \boxed{96J}[/tex]
Answer:
96 Joules
Explanation:
[tex]E_k=1/2* mass*velocity^2\\E_k=1/2 * 0.12 kg * (40m/s)^2 = 96 J[/tex]
How many cm3 are there in 1 dm3?
The answer is in the picture.
A dog is pulling an empty sled attached by a harness that is parallel to the
ground in the snow. The sled is moving with constant velocity. The mass of
the sled is 1.2 kg, and the coefficient of static friction is 0.20. Determine the
harness tension.
Answer:
Explanation:
There are only two forces causing motion involved. They oppose each other. You know this because there is no acceleration of the sled: you see only a velocity.
The formula when friction is involved is
Fnet = T - mu*Normal
mu is the frictional coefficient
The normal is the downward force caused by the mass of the sled being pulled down by the gravitational constant.
The tension is brought about by the dog pulling in the opposite direction to the frictional force.
The frictional force, oddly, acts in a horizontal direction even though the normal is vertical. It does this because friction always opposes motion.
Since there is no acceleration, the net force = 0
N= m * a_g
m = 1.2 kg
a_g = 9.8
N = 1.2 * 9.8
N = 11.76
The frictional force = mu*Normal Force.
Ff = N * mu
N = 11.76
mu = 0.2
Ff = 0.2 * 11.76
Ff = 2.35
As stated The frictional force and the Tension are equal but in opposite directions
T = 2.35
40 POINTSS. Now explore friction force. Set the piece of plastic or wood on the table and push it steadily across the tabletop using your fingertip. Note how much opposition to your push you feel. Repeat the steps, but this time push the piece of plastic or wood across a rug, carpet, or piece of fabric. If you’re using fabric, be sure to secure the fabric so it doesn’t move. How does the opposition to motion on the tabletop compare with that of the rug, carpet, or fabric? WILL MARK BRAINLIST IF RIGHT
Answer: If there is a higher friction, the opposition force is higher so that it can reduce our speed. So, a factor that affects friction is the roughness or smoothness of the surface of the object. In comparison of the table with the fabric, the fabric will have a more opposition force. As the surface of the fabric is usually rougher than the surface of a smooth table. As there is more friction on a fabric, we will feel more opposition force on our finger tip.
A number line goes from 0 to 30. Closed circles are at 6 and 25. A line is drawn from point 6 to point 25. Ari is swimming a 25-meter race. After swimming 6 meters, she catches up to Amanda in a ratio of 7:3 from the 6-meter mark. At what meter mark does Ari catch up to Amanda? Round to the nearest tenth, if necessary. Ari catches up to Amanda at meters.
The position on the meter mark where Ari catches up with Amanda is 19.3 m.
The given parameters:
Range of the number line, = 0 to 30Position of the closed circles, = 6 and 25The ratio between the initial position and final position of Ari = 7:3The distance between 6 m mark and 25 m mark is calculated as follows;
[tex]d = 25 \ m - \ 6 \ m\\\\\d = 19 \ m[/tex]
The distance traveled by Ari before catching up with Amanda is calculated as follows;
total ratio = 7 + 3 = 10
[tex]distance = \frac{7}{10} \times 19 \ m\\\\distance = 13.3 \ m[/tex]
The position of Ari from the 6 m mark is calculated as follows;
[tex]position = 6 \ m \ + \ 13.3 \ m\\\\position = 19.3 \ m[/tex]
Thus, the position on the meter mark where Ari catches up with Amanda is 19.3 m.
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Answer:
The above answer is correct! The answer is 19.3 meters :)
Explanation:
adding a ss for proof!
hope this helps :D
Which form can solutions come in?
liquid
gas
solid
all of the above
Answer:
liquid
Explanation:
leave a thanks if helped !
In which of these states is the age of consent 18 years old?
WA
16
MT
16
ME
16
OR
18
MA16
ID
18
WY
18
NV
16
RI 16
CT 16
NJ 16
DE 18
MD 16
UT
18
CA
18
16 W
NH
ND
VT 16
18
MN
16
SD
16
WI
NY
16
18
MI
17
16
NE
IA
PA
17
16
OH 16
IL IN
17 16
KS
MO
16
16 17 KY 16
18
NC
OK
TN 18
16
AR
SC
16
AL
16
MS
GA
16
LA
16
TX
16
17
17
FL
18
СО
17
16
AZ
18
NM
17
HI
16
AK
16
Age 16
Age 17
Age 18
A. North Carolina
B. Florida
Answer:
all the ones that say
Explanation:
18.....
North Carolina is one of the states is the age of consent 18 years old. Hence option A is correct.
What is states ?A state is a type of centralised political entity that establishes and upholds laws over a population within a given region. A state's definition is open to debate. Although alternative definitions are widespread, the German sociologist Max Weber's is the most generally used: a "state" is a polity that retains a monopoly on the legal use of violence. Statelessness societies like the Haudenosaunee Confederacy, which "do not have either purely or even primarily political institutions or roles," are examples of societies in which the lack of a state does not prohibit the existence of a community. A state's degree of governance, which is used to assess its success or failure, is thought of as the core component of modern states.
Hence option A is correct.
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does a perfectly elastic colission conserve momentum and impulse
Answer:
A perfectly elastic collision conserves momentum and kinetic energy..
If you we're in charge of designing a wire to cart electricity across your city, state or provide, which of the following properties would be most important for your wire to have?
Should it be thick or thin, aluminum orchrome, buried underground or installed out in the sun?
Write a paragraph defending your choice.
PLEASE HELP!!
Answer:
It should be fibre optic cable , buried underground
. A teacher pushes a desk across the floor for a distance of 5 meters. She exerted a horizontal force of 20N. How much work was done?
Answer:
100 J work was done.
Hope you could get an idea from here.
Doubt clarification - use comment section.
how to put in velocity into a graphing calculator
Answer:
You need a graphing calculator that implemented vectors. I don't know any that have it. Sorry.
Answer:
Provided an object traveled 500 meters in 3 minutes , to calculate the average velocity you should take the following steps:
Change minutes into seconds (so that the final result would be in meters per second). 3 minutes = 3 * 60 = 180 seconds ,
Divide the distance by time: velocity = 500 / 180 = 2.77 m/s .
Explanation:
Kepler’s laws of planetary motion describe each of the three laws
Kepler's laws laid the foundation for the early study of astronomy.
Kepler was one of the earliest astronomers that contributed immensely to the study of the planets. The Kepler's laws of planetary motion are as follows;
The planets each travel along an ellipse with the sun at one focus.The line joining the sun and the planets sweeps out equal areas in equal time intervals.The square of the period of the revolution of the planets equals the cube of the planet's mean distance from the sun.Learn more about Kepler's laws; https://brainly.com/question/1017661
Elliot jumps up and down on a pogo stick. He weighs 600.N, and his pogo stick has a spring with spring constant 1100N/m. What is the height he will reach when he has gravitational potential energy 250J? m
From conservation of energy, the height he will reach when he has gravitational potential energy 250J is 0.42 meters approximately
The given weight of Elliot is 600 N
From conservation of energy, the total mechanical energy of Elliot must have been converted to elastic potential energy. Then, the elastic potential energy from the spring was later converted to maximum potential energy P.E of Elliot.
P.E = mgh
where mg = Weight = 600
To find the height Elliot will reach, substitute all necessary parameters into the equation above.
250 = 600h
Make h the subject of the formula
h = 250/600
h = 0.4167 meters
Therefore, the height he will reach when he has gravitational potential energy 250J is 0.42 meters approximately
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Define the following:
Variable
Data
Control
Technology
Hypothesis
Physical Science
Experiments
Answer:
Variable- not consistent or having a fixed pattern; liable to change
Data- facts and statistics collected together for reference or analysis
Control- a group or individual used as a standard of comparison for checking the results of a survey or experiment
Technology- the application of scientific knowledge for practical purposes, especially in industry
Hypothesis- a supposition or proposed explanation made on the basis of limited evidence as a starting point for further investigation
Physical Science- the sciences concerned with the study of inanimate natural objects, including physics, chemistry, astronomy, and related subjects
Experiments- a scientific procedure to make a discovery, test a hypothesis, or demonstrate a known fact
Explanation:
ork is done if a boat has a force 60N and travels 600 meters
I really need the Formula, substitute, answer
Answer:
This is the answer.
Explanation:
is this right?
Describe your acceleration if you ride your bike up a hill,then ride down the other side.
Answer:
first negative and then positve
2.
A swimmer swims 1 m/s due north against a current of 3 m/s due south. What is the resultant velocity of
the boat?
The resultant velocity of the boat is equal to 2 m/s due south.
Given the following data:
Swimmer's speed = 1 m/s due northOcean current speed = 3 m/s due south.To determine the resultant velocity of the boat:
Resultant velocity can be defined as the sum (addition) of each of the vector velocity acting on a physical or an object. Thus, it is simply a combination of two or more single vector velocity.
Note: When the velocities are acting in the same direction, you will add them up while you will subtract when the velocities are acting in opposite directions.
In this scenario, the velocities are acting in opposite directions. Thus, we would subtract as follows:
[tex]V = 3 - 1[/tex]
V = 2 m/s due south.
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Three forces acting on an object are given by F1 = (−2.00 i + 2.00 j) N,F2 = (5.00 i − 3.00 j) N, and F3 = (−45.0 i) N. The object experiences an acceleration of magnitude 3.75 m/s2.
i. What is the direction of the acceleration?
ii. What is the mass of the object?
iii. If the object is initially at rest, what is its speed after 10.0 s?
iv. What are the velocity components of the object after 10.0 s?
From summation and resultant of forces, the four answers are:
i. ∅ = 34 degrees
ii. M = 0.48 kg
iii. V = 37.5 m/s
iv. V = 37.5i + 0j + 0k
Given that Three forces acting on an object are
F1 = (−2.00 i + 2.00 j) N
F2 = (5.00 i − 3.00 j) N
F3 = (−45.0 i) N.
If the object experiences an acceleration of magnitude 3.75 m/s2.
i. The direction of the force will be the direction of the acceleration.
Sum of the forces = (-2 + 5 - 4.5)i + (2 - 3 + 0)j
Sum of the forces = -1.5i -j
The acceleration direction will be
tan∅ = [tex]\frac{y}{x}[/tex]
tan∅ = [tex]\frac{1}{1.5}[/tex]
∅ = [tex]tan^{-1}[/tex] (0.67)
∅ = 34 degrees (approximately)
ii. The mass of the object can be calculated from Newton's law.
Resultant force = mass x acceleration.
Resultant force = [tex]\sqrt{1.5^{2} + 1^{2} }[/tex]
Resultant force = [tex]\sqrt{3.25}[/tex]
Resultant force = 1.8N
Then,
1.8 = 3.75M
M = 1.8 / 3.75
M = 0.48 kg
iii. If the object is initially at rest, the speed of the object after 10.0 will be calculated by using first equation of motion.
V = U + at
Where U = 0
V = 0 + 3.75 x 10
V = 37.5 m/s
Therefore, the speed of the object after 10.0 is 37.5 m/s
iv. The velocity components of the object after 10.0 are
V = 37.5i + 0j + 0k
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how is the rate of evporation of a liquid affected by temperature, the surface area of a liquid exposed to air
Assuming a current is flowing, what increases the strength of the magnetic field of a coiled electrical wire? Select all that apply. Straightening the wire changing the direction of the current flow adding more coils to the wire placing a metal bar within the coils stopping the current.
The strength of the magnetic field is increased by adding more coils to the wire and placing a metal bar within the coils.
The given problem is based on the concept and fundamentals of the magnetic strength in a current-carrying coil of wire. The current-carrying wire in a coiled form is known as Solenoid.
And the mathematical expression for the magnetic field in a solenoid is,[[tex]B = \dfrac{\mu_{0} \times N \times i}{L}[/tex]
Here,
B is the strength of the magnetic field.
[tex]\mu_{0}[/tex] is the magnetic permeability of free space.
N is the number of coils.
The strength of the magnetic field will increase by increasing the number of coils and placing the metallic slab (it will increase magnetic permeability) within the coils.
Thus, we can conclude that the strength of the magnetic field is increased by adding more coils to the wire and placing a metal bar within the coils.
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Answer:
C
Explanation:
HELP ME IM NOT GOOD THAT THIS :))))
Record your observations. Include the data table you created for the lab and a graph based on the data table. Type your answer here:
To create a graph of the data you collected during the lab, first, organize the data, then select the best type of graph, and finally create the graph.
One of the steps you need to complete after an experiment is to graph your results. This implies organizing the data and creating a diagram to visually represent your findings.
These are the steps you can follow to complete this task:
Organize the data: The first thing you need to do is to understand what were the main factors for example if your experiment measured temperature changes this is the main factor you need to consider. Then try to organize this data in a chart so you can visualize it.Select the type of graph: There are different types of graphs such as:Bar graph.Pie chart.Scatter plot.Among others.Each of these graphs focuses on specific types of data, and therefore you need to select the one that best fits the data you collected.
Create the graph: Finally, you can create the graph to do this, there are programs like excel that help you create the graph only by entering the data.Learn more about graphs in: https://brainly.com/question/16192791
At which point does a substance have the greatest amount of kinetic energy