If the energy generated by the natural gas is 1150 BTUs for each cubic foot of gas, we can find the amount of energy in a tank with 59.4 cubic feet of gas by multiplying this volume by the amount of heat generated per cubic foot:
\(Energy=1150\frac{\text{ BTU}}{ft^3}\cdot59.4\text{ }ft^3=1150\cdot59.4\text{ BTU}=68310\text{ BTUs}\)Therefore the amount of energy that can be produced is 68,310 BTUs.
Calculate the displacement in meters of a motorcycle that has a speed of 100 kilometers per hour if it has circulated for 50 minutes
Hello..!
To calculate its displacement, we first apply the data to the problem.
Data:
V = 100km/hT = 50minD = ?Now, we apply a conversion.
Conversion:
100km/h • (1000m/1km) • (1h/3600s) V = 27.7m/s50min • (60s / 1min) T = 3000sThen, we apply the formula that is.
Formula:
D = V • TFinally we develop the problem.
Developing:
D = (27.7m/s) • (3000s)D = 83100mThe displacement of the bike is 83100 meters.
Answer:
83,333.33 m (2 d.p.)
Explanation:
\(\boxed{\sf Speed=\dfrac{Distance}{Time}}\)
Given values:
Speed = 100 k/hTime = 50 minutesAs there are 60 minutes in one hour, convert minutes into hours by dividing by 60:
\(\implies \sf Time=\dfrac{50}{60}=\dfrac{5}{6}\;hour\)
Substitute the values into the formula and solve for distance:
\(\implies \sf 100=\dfrac{Distance}{\frac{5}{6}}\)
\(\implies \sf 100=Distance \times \dfrac{6}{5}\)
\(\implies \sf Distance=\dfrac{100 \times 5}{6}\)
\(\implies \sf Distance=\dfrac{250}{3}\;km\)
\(\implies \sf Distance=83.33333...\;km\)
At there are 1000 meters in one kilometer, convert kilometers into meters by multiplying by 1000:
\(\implies \sf Distance=83.33333...\times 1000=83333.33\;m\;(2\;d.p.)\)
A porter can climb 10 staircase of 30cm each in 10 sec by carrying a 50kg bag. Calculate the power of the porter
Therefore, the power of the porter is 441,450 J/s, or approximately 441.5 watts.
What is work done?The work done by the porter in lifting the 50 kg bag up the stairs can be calculated as the product of the force applied and the distance moved.
The force applied is the weight of the bag, which is given by:
F = m * g
where m is the mass of the bag and g is the acceleration due to gravity, which is approximately 9.81 m/s². Substituting the given values, we get:
F = 50 kg * 9.81 m/s²
F = 490.5 N
The distance moved by the porter in lifting the bag up one staircase is 30 cm, and the porter climbs 10 staircases in 10 seconds, which gives a speed of:
v = (10 * 30 cm) / 10 s
v = 30 cm/s
The power of the porter is the rate at which work is done, which can be calculated as:
P = W / t
where W is the work done and t is the time taken. Substituting the values, we get:
P = F * d * v / t
P = 490.5 N * 10 * 30 cm * 30 cm/s / 10 s
P = 441,450 J/s
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Question 3 of 15
Which of the following statements are not true about gravity? Check all that
apply.
A. Gravity exists in the whole universe.
B. Gravity exists only on Earth.
C. Gravity is a force that pulls two objects together.
D. Gravity exists between two objects that have mass.
E. Gravity doesn't exist between Earth and the sun.
The statement "B. Gravity exists only on Earth" and the statement "E. Gravity doesn't exist between Earth and the sun" is not true about gravity.
Gravity is a fundamental force of nature that exists in the whole universe, not just on Earth. It is a force that acts between any two objects that have mass. This means that statement "C. Gravity is a force that pulls two objects together" and "D. Gravity exists between two objects that have mass" are both true. Gravity plays a significant role in the functioning of our solar system. The sun's gravitational force acts on the planets, including Earth, keeping them in their orbits. Similarly, Earth's gravitational force attracts objects towards its center, giving weight to objects on its surface. Gravity is the force that holds Earth in orbit around the sun and is responsible for the planets' motion in the solar system. Gravity is a universal force that exists throughout the universe, acts between objects with mass, and plays a crucial role in celestial bodies' movements, including the interaction between Earth and the sun.
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gamma-ray bursts are objects in the universe that emit pulses of gamma rays with high energies. the frequency of the most energetic bursts has been measured at around 3.0 x 1021 hz. what is the wavelength of these gamma rays?
answer options:
1: 1.0 x 10^29 m
2: 1.0 x 10^13 m
3: 1.0 x 10^-13 m
4: 1.0 x 10^-29 m
Answer:
The answer to your problem is, C. \(1.0 * 10^{3}\)
Explanation:
The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
The length of a wave is measured in its propagation direction. The wavelength is measured in meters, centimeters, nanometres, and other units since it is a distance measurement.
The relationship between the wave's wavelength, frequency, and speed is given as
Formula ( That I use and you should use ) !
wavelength = speed of light / frequency
\(y = \frac{c}{v}\)
y in this case is the wave length v denotes the wave's speedf is the wave's frequency\(y = \frac{3*10^{3} }{3.0*10^{21} }\)
\(y = 1 * 10^{-13}\)
Thus the answer to your problem is, C. \(1.0 * 10^{3}\)
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Identify the independent variable in the experiment conducted by Janessa
Answer:
Cotton balls, soil and gravel
Explanation:
The independent variable in an experiment is the variable that is exposed to the change or which undergoes changes as per the experimenter. The changes are brought in order to calculate the significant change in the dependent variable.
In the experiment conducted by Janessa, cotton balls, soil and gravel are the independent variables that are induced by her. The dependent variable in this experiment is the measurement and recording of the growth of the plant. She conducted the experiment to calculate as to which material would be best suited for the lima beans to sprout.
Answer:
"the distance between the magnet and the object"
Explanation:
I just did this on study island and got it right!
Which part of a circuit can be turned on and off to make an electromagnet
work or stop?
A. The ammeter
B. The connecting wires
C. The magnetism
D. The electric current
A baseball sits motionless near first base on a baseball diamond. What statement
best explains why the baseball remains motionless?
Answer:
B. There are no forces acting on the ball.
Explanation:
There are no forces acting on the ball.
Answer:
No forces acting upon the ball
Explanation:
newtons law, an object at rest will remain at rest until an force is acted upon the object
How long will it take a person walking at 3.2 m/s to travel 16 m? *
Answer:
5.0 s
Explanation:
The equation for time is:
\(t = \frac{d}{s} \)
We plug in the given values into the equation
\(t=\frac{16\ m}{3.2\ m/s^}\)
\(t=5.0 \ s\)
What is shown in photo 2?
solar eclipse
full moon
lunar eclipse
new moon
Answer:
Lunar Eclipse
Explanation:
Which of the following best describe a displacement pump? A. Reciprocating pump B. Propeller pump C. Centrifugal D. Jet pump
Emptying trenches, filling tanks, supplying water for boilers, and all of the above tank refuelling
What do you name a drainage trench?An exclusive variety of floor drain with a predominately trough- or channel-shaped body is known as a trench drain (also known as a channel drain, line drain, slot discharge, linear drain, or strip drain). It is utilised to contain utility lines or industrial pollution as well as for the quick evacuation of surface water.
What makes a trench different from a drain?Aside from what we've mentioned here, the distinction between a French dump and a trench drain is that the former French drain is used for water that is underground, whilst a trench drain redirects extra water from a surfac.e
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1. A ball is at rest on the top of a hill (see the figure).
At the top of the hill, the ball will have [the maximum value of its, no, the minimum value of its] gravitational potential energy and [no, the maximum value of its] kinetic energy. If the ball rolls down the hill then, its [gravitational potential energy, kinetic energy] is converted to [gravitational potential energy, kinetic energy] when it gets to the ground.
2. Get your stopwatch ready and prepare to drop the object from the height h you selected in the previous step. You should drop the object so its [bottom, top, middle] part is initially at the height h. The initial speed of the ball [zero, 9.8 m/s, 9.8 m/s^2, depends on the height h] You'll need to measure the time from when the ball leaves your hand to exactly when it hits the ground [ for the first time it bounces, after it bounces and then comes to rest, both the first time and then after it bounces; then average the two times]
.
Velocity which stone gains when falling from height of 80 m is approximately equal to *
A. 0
B. 1 m/s
C. 8 m/s
D. 40 m/s
E. 300 m/s
Answer:
40
Explanation:
Someone please help me! And I will mark you as brainlist!!
1) A ball with a mass of 2.0 kg is thrown upward 1.2m calculate its gravitational potential energy into two significant figures. Gravity = 9.8 N/kg
• 2.4 J
• 1.4 J
• 120 J
• 24 J
2) Translation kinetic energy is defined as the energy of a system due to the motion of the system’s...
• center of mass
• axis of symmetry
• molecules
• rotational movement
PLEASE HELP!!
Answer:
1. G.P.E = 24 J
2. center of mass
Explanation:
Given the following data;
Mass = 2kg
Height, h = 1.2m
Acceleration due to gravity = 9.8 N/kg or m/s².
To find the gravitational potential energy;
Gravitational potential energy (GPE) is an energy possessed by an object or body due to its position above the earth.
Mathematically, gravitational potential energy is given by the formula;
\( G.P.E = mgh\)
Where;
G.P.E represents potential energy measured in Joules.m represents the mass of an object. g represents acceleration due to gravity measured in meters per seconds square. h represents the height measured in meters.Substituting into the formula, we have;
\( G.P.E = 2*1.2*9.8 \)
G.P.E = 23.52 to 2 S.F = 24 Joules.
Translation kinetic energy is defined as the energy of a system due to the motion of the system’s center of mass. The center of mass is typically where the mass of the object or particle is concentrated.
A race car makes one lap around a track of radius 50 m in 9.0 s. What was the car's centripetal acceleration?
The velocity of the car is 5.5 m/s. Then the centripetal acceleration of the car will be 0.6 m/s².
What is centripetal acceleration?Acceleration is a physical quantity measuring the rate of change in velocity. It has both magnitude and direction.
Centripetal acceleration is the acceleration of an object moving through a circular path. Thus its measures the rate of change in velocity of the body moving in the curvature path.
The centripetal acceleration = V²/R.
Where R is the radius of the curvature path.
The car moves 50 m in 9 seconds. Its velocity is 50/9 = 5.5 m/s.
Thus, centripetal acceleration = (5.5 × 5.5) m/s/ 50 m = 0.6 m/s².
Therefore, the centripetal acceleration of the car moving at a speed of 9 m/s through curvature path is 0.6 m/s².
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32. A ball is going to fall downward through a vacuum chamber. If it has maximum potential energy at the top and maximum kinetic energy at the
bottom where along the fall will half of its maximum velocity occur?
A: At exactly halfway down
B: At more than halfway down (between halfway and the bottom)
C: At less than halfway down (between halfway and the top)
Half maximum velocity occurs at the point of half maximum kinetic energy which is exactly halfway down.
Conservation of energyThe principle of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.
M.A = K.E + P.E
At the maximum height, the kinetic energy of the ball while potential energy is maximum.
At the half-way down, the ball kinetic energy of the ball is equal to the potential energy.
Thus, half maximum velocity occurs at the point of half maximum kinetic energy which is exactly halfway down.
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Answer these questions pls ASAP
Answer:
Balloon , vaccum,and thats about it at least all i can think of
A rock, a book and a can of soda all have the same mass. Which of the following best describes their relationship?
A. They are all the same size
B. They each contain the same amount of matter.
C. They are each made of the same element.
D. They each occupy the same amount of space.
Answer:
Explanation:
d
A rock, a book and a can of soda all have the same mass. They each contain the same amount of matter.
Hence, the correct option is D.
Since the rock, book, and can of soda all have the same mass, it means that they contain the same amount of matter, regardless of their size or the material they are made of.
Mass is a measure of the amount of matter in an object, so if their masses are equal, it implies that the quantity of matter is the same in each of them.
The size, shape, and material composition can be different for each object, but their masses remain the same in this scenario.
Hence, A rock, a book and a can of soda all have the same mass. They each contain the same amount of matter.
Hence, the correct option is D.
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24. A body A rests on a smooth horizontal table. Two bodies of mass 2 kg and 10 kg hanging freely, are attached to A by strings which pass over smooth pulleys at the edges of the table. The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 . Find the mass of A.
The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 then, Mass of A = 8m/5 kg.
Let the mass of the body A be ‘m’.
The two strings are taut so they exert a tension ‘T’ on body A.
Let ‘a’ be the acceleration produced in the system.
The free body diagram of body A is given below: mA + 2T = mA + ma = mA + m(2)mA + 10T = mA + ma = mA + m(2)
As the two strings are taut, we can say that tension in both strings is equal.
Therefore 2T = 10T or T = 5T As the body A is resting on a smooth horizontal table, there is no friction force acting on the body A.
The net force acting on body A is the force due to tension in the strings. ma = 2T – mg …(1)
As per the given problem, the system is released from rest.
Hence the initial velocity is zero.
Also, we are given that the system accelerates at 2 m/s2.
Therefore a = 2 m/s2 …(2)
From the equations (1) and (2), we get, m(2) = 2T – mg …(3)⇒ m(2) = 2×5m – mg⇒ 2m = 10m – g⇒ g = 8m/5
Thus, the mass of A is 8m/5 kg.
Answer: Mass of A = 8m/5 kg.
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How are magnetic fields like vectors?
Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.
Explanation:
A 3.6 kg block moving with a velocity of 4.3 m/s makes an elastic collision with a stationary block of mass 2.1 kg.
(a) Use conservation of momentum and the fact that the relative speed of recession equals the relative speed of approach to find the velocity of each block after the collision. 1.1315 m/s (for the 3.6 kg block) 5.43 m/s (for the 2.1 kg block)
(b) Check your answer by calculating the initial and final kinetic energies of each block. 33.282 J (initially for the 3.6 kg block) J (initially for the 2.1 kg block) J (finally for the 3.6 kg block) J (finally for the 2.1 kg block) Are the two total kinetic energies the same?
Answer:
a) Velocity of the block of mass 3.6 kg after collision = 1.13 m/s
Velocity of the block of mass 2.1 kg after collision = 5.43 m/s
b) Initial energy of the 3.6 kg block = 33.282 J
Final energy of the 3.6 kg block = 2.3 J
Initial energy of the 2.1 kg block = 0J
Final energy of the 2.1 kg block = 30.96 J
The two total kinetic energies are the same = 33.30 J
Explanation:
Check the attached files for the complete solution and explanations.
For 2 non-perpendicular vectors, R is calculated by component method.
5. A baseball player leaves the bench and runs A= 25 m [E] and then B=40 m [SW].
Draw these two vectors, determine their x- and y-components, then draw their
resultant vector R by triangle method .Use scale 5 m= 1 cm. Calculate R by
component method and compare with the graphical value.
Answer:
30.3 meters, 172 degrees.
Explanation:
The fact that all the planets orbit the Sun in the same direction is cited as support for the nebular hypothesis. Imagine that there's a different hypothesis in which planets can be created orbiting the Sun in either direction. Part A Under this hypothesis, what is the probability that eight planets would end up traveling in the same direction
The probability that eight planets would end up traveling in the same direction is 50%.
Number of planets that will orbit the sun
There are about 8 planets that will orbit the sun.
Current hypothesisUnder this hypothesis that the planets will orbit the sun in the different directions, the following methods can be used to determine the probability that eight planets would end up traveling in the same direction.
P (same direction) = 1 - P(8 planets different direction)
\(P = 1 - \frac{1}{2} \\\\P = \frac{1}{2}\)
Thus, the probability that eight planets would end up traveling in the same direction is 50%.
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What happens when you throw a ball
Answer:
When you throw the ball at a very steep angle, most of its velocity is directed upward instead of forward, so it does not make much forward progress. Depending on the type of ball and the amount of air resistance on it, however, you might see different results.
Explanation:
Well, it just really depends! If you throw a ball up, you are acting against the force of gravity. The ball will then immediately come down owing to the gravitational pull of the earth.
This probably didn't help, but I hope it did!
-✩sandwichchan✩
the amplitude of a wave is
Answer:
The amplitude of a wave is a measure of the displacement of the wave from its rest position. The amplitude is shown on the graph below. Amplitude is generally calculated by looking on a graph of a wave and measuring the height of the wave from the resting position. The amplitude is a measure of the strength or intensity of the wave.
Explanation:
Hope this helps! <3
which object has a weight of about 22.5 n the book the rock the box the fish
Answer: The rock
Explanation:
A motorcyclist travels on a
straight road at a speed
constant 85km/h. Determine the
distance recorded in 12 minutes
Answer:
17 km
Explanation:
Given values:
Speed = 85 km/hTime = 12 minutesAs the unit of time for speed and time is different, convert the time into hours by dividing the minutes by 60:
\(\implies \textsf{Time }=\dfrac{12}{60}\; \sf =0.2 \; h\)
Therefore:
Speed = 85 km/hTime = 0.2 h\(\boxed{\sf Speed=\dfrac{Distance}{Time}}\)
Substitute the speed and time into the formula and solve for distance:
\(\implies \sf 85=\dfrac{\sf Distance}{0.2}\)
\(\implies \sf Distance=85\times0.2\)
\(\implies \sf Distance=17\;km\)
Therefore, the distance recorded in 12 minutes is 17 km.
Answer:
The distance recorded by the motorcyclist in 12 minutes is 17 km.
Explanation:
We can use the formula:
\(\rm{Distance = Speed \times Time}\)where:
Distance = the distance traveled by the motorcyclistSpeed = 85 km/h (constant speed)Time = 12 minutes (converted to hours by dividing by 60)We know that 12 minutes is equal to 12/60 = 0.2 hours.
Substituting the values, we get:
\(\rm{Distance = 85\: km/h \times 0.2\: h}\)\(\rm{Distance = 17\: km}\)\(\therefore\) The distance recorded by the motorcyclist in 12 minutes is 17 km.
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
. A 5cm tall object is placed perpendicular to the principal axis of a convex lens of focal
length 10 cm. The distance of the object from the lens is 15 cm. Find the nature, position
and size of the image. Also find its magnification
The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.
Given:
Object height (h) = 5 cm
Focal length of the convex lens (f) = 10 cm
Object distance (u) = 15 cm (positive since it's on the same side as the incident light)
To determine the nature, position, and size of the image, we can use the lens formula:
1/f = 1/v - 1/u
Substituting the given values:
1/10 = 1/v - 1/15
To simplify the equation, we find the common denominator:
3v - 2v = 2v/3
Simplifying further:
v = 30 cm
The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.
To find the magnification (M), we use the formula:
M = -v/u
Substituting the values:
M = -30 / 15 = -2
The magnification is -2, indicating that the image is inverted and twice the size of the object.
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The arm of a crane at a construction site is
18.0 m long, and it makes an angle of 13.5
◦
with the horizontal. Assume that the maximum load the crane can handle is limited
by the amount of torque the load produces
around the base of the arm.
What maximum torque can the crane withstand if the maximum load the crane can
handle is 521 N?
Answer in units of N · m.
002 (part 2 of 2) 10.0 points
What is the maximum load for this crane at
an angle of 25.8
◦ with the horizontal?
Answer in units of N.
Maximum torque can the crane withstand is 6603.8 N·m. The maximum load for this crane at an angle of 25.8 with the horizontal is 461.5 N
What is the crane's maximum load and torque?The link between torque, force, and angle serves as the theoretical foundation for this inquiry.
The sine of the angle formed by the force and the lever arm and the product of the force times the length of the lever arm are used to calculate torque. This means that the length of the lever arm and the angle at which the force is applied can both affect how much torque is generated.
The steps are as follows to get the answer:
Calculate the maximum torque that the crane can withstand in step 1.
This can be done by adding the sine of the angle the arm makes with the horizontal (13.5°) to the length of the arm (18.0 m) and the maximum load (521 N).
Torque is defined as: 521 N x 18.0 m x sin (13.5°) = 6603.8 N m.
Step 2: Determine the crane's maximum load at a 25.8-degree angle to the horizontal.
The maximum load (521 N) multiplied by the sine of the angle (25.8°) will achieve this.
The maximum load is equal to 521 N * sin (25.8°) = 461.5 N.
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when a student comned his dry hair for a long time, his hair began to stand up. Which of these has MOST LIKELY happened
His hair got charged due to continuous friction causing them to get attracted to other objects and thus standing up.
Answer:The comb and hair have become charged with opposite charges.
Explanation:When a comb is run through your hair charges pass between your hair and the comb, so the comb becomes charged either positively or negatively, and the hair oppositely charged. When the comb is brought close to paper an opposite charge is induced in the paper, and the opposite charges attract.
Answer #49 please and thank you
when Force (N) is 10.0 Length (m) is 0.60
when Force (N) is 8.0 Length (m) is 0.40
when Force (N) is 4.0 Length (m) is 0.20
when Force (N) is 4.0 Length (m) is 0.20
when Force (N) is 2.0 Length (m) is 0.10
chatgpt
49. To find the length of a pendulum that has a period of 2.3 seconds on the Moon, where the gravitational acceleration (g) is 1.6 N/kg, we can use the formula:
Period (T) = 2π√(Length (L) / g)
Substituting the given values:
2.3 = 2π√(L / 1.6)
To solve for L, we can rearrange the formula:
L = (2.3 / (2π))^2 * 1.6
L ≈ 0.781 meters (or 78.1 centimeters)
So, the pendulum must be approximately 0.781 meters (or 78.1 centimeters) long to have a period of 2.3 seconds on the Moon.
50. Ranking Task:
To rank the pendulums according to their periods, we need to consider both the length and mass of each pendulum.
Ranking from least to greatest period:
1. A: 10 cm long, mass = 0.25 kg
2. C: 20 cm long, mass = 0.25 kg
3. B: 10 cm long, mass = 0.35 kg
There is a tie between pendulums A and C, as they have the same length but different masses.