Important Formulas:
[tex]F=ma[/tex]
Force = mass(measured in kg) * acceleration(measured in m/s^2)
__________________________________________________________
Given:
[tex]m=120kg[/tex]
[tex]F=14,000N[/tex]
[tex]a=?[/tex]
__________________________________________________________
Rearrange formula:
[tex]F=ma[/tex]
[tex]\dfrac{F}{m} =\dfrac{ma}{m}[/tex]
[tex]a=\dfrac{F}{m}[/tex]
__________________________________________________________
[tex]a=\dfrac{14,000}{120}[/tex]
[tex]\fbox{a = 116.67 m/s squared}[/tex]
A 120 kg elevator is supported by a cable in which the maximum safe tension is, 14000 N. The upward acceleration of the elevator is 116. 67 m/s².
What is acceleration?Acceleration is the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.
Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.
This is the formula to calculate the force.
F = ma
we can modify this, a = F/m
Force = mass(measured in kg) x acceleration(measured in m/s²)
Given, mass = 120 kg
Force = 14000 N
Acceleration
Putting the values in the equation
a = F/m
a = 14000 / 120 = 116. 67 m/s²
Therefore, the upward acceleration of the elevator is 116. 67 m/s².
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Answer:
2). Until it was recently discontinued, the fastest jet plane in the skies was
the Lockheed SR-71 Blackbird. However, this plane did not reach its
high speeds through large acceleration. The plane had a mass 7.7x104 kg and was
driven by an estimated unbalanced force of about 7.23x105 N. What was the
acceleration of the Lockheed SR-71?
The acceleration of the Lockheed is 9.38 × [tex]10^{2}[/tex], for the given force and the mass, and using the formula F = m × a, where m = mass, a = acceleration.
What is acceleration?The rate at which an object's velocity with respect to time changes is called its acceleration. It is a vector quantity. The direction of the net force imposed on an object determines its acceleration in relation to that force.
What is force?A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
What are the calculations?F = m × a
7.23 × [tex]10^{5}[/tex] = 7.7 × [tex]10^{4}[/tex] × a
9.38 × [tex]10^{2}[/tex] = a
Hence, the acceleration of the Lockheed is 9.38 × [tex]10^{2}[/tex], for the given force and the mass.
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For an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively. The resistance and inductance are fixed at R= 55022 and L = 0.2 H. Find the average power dissipated in the resistor for the following values for the capacitance: (a) C = 76uF and (b) C = 7.6uF.
For an RLC series circuit :
a. The average power dissipated in the resistor for the following values for the capacitance C = 76uF is 3.97W
b. The average power dissipated in the resistor for the following values for the capacitance C = 7.6uF is 4.2W
What is capacitance?It is the ability of a component or circuit to collect and store energy in the form of an electrical charge. Capacitors are energy-storing devices available in many sizes and shapes.
a. How to calculate the average power for the capacitance C = 76uF?
V₀ = 100V
n = 500Hz
R = 550 Ω
L = 0.2H
XL = WL = 2 * π * F * L = 2 * 3.14 * 500 * 0.2 = 628 Ω
Xc = 1 / Wc
= 10^6 / 2 * 500 * π * 76
= 10^3 / 76 * 3.14
= 1000 / 238.64
= 4.19 Ω
Z = √R² + (XL - Xc)²
= √550² + (628 - 4.19)²
= √302,500 + 389,138.9
= 831.65Ω
peak current
Io = Vo / Z
= 100 / 831.65
= 0.12A
Irms = Io / √2
= 0.12 / 1.414
= 0.085A
Average power dissipated Pav = Irms^2 * R
= 0.085^2 * 550
= 3.97W
Therefore, the average power dissipated in the resistor for capacitance value 76uF is 3.97W.
b. How to calculate the average power for the capacitance C = 7.6uF?
Xc = 10^6 / 1000 * π * 7.6
= 1000 / 7.6 * 3.14= 41.9Ω
Z = √R² + (XL - Xc)²
= √550² + (628-41.9)²
= √302,500 + 343,513.21
= 803.75Ω
Io = Vo / Z
= 100 / 803.75
= 0.124 A
Irms = Io / √2
= 0.124 / 1.414
= 0.0877 A
Average power dissipated Pav = Irms^2 * R
= 0.0877² * 550
= 4.23W
Therefore, the average power dissipated in the resistor for the capacitance value 7.6uF is 4.23W.
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What BEST describes the process that happens when water evaporates from a lake?
A. As water evaporates from a lake, it becomes a gas that spreads throughout the air. This
gas sometimes cools as it rises, condenses, and helps form clouds.
B. As water evaporates from a lake, it becomes tiny droplets of liquid water that rise to
form clouds.
C. As water evaporates from a lake, it becomes tiny droplets of liquid water. When
these droplets reach a specific height, they fall back to Earth in the form of rain.
D. As water evaporates from a lake, it becomes a gas that moves directly into clouds
without ever being part of the air outside of the clouds.
The statement that best describes the process that happens when water evaporates from a lake is as follows: As water evaporates from a lake, it becomes a gas that spreads throughout the air. This gas sometimes cools as it rises, condenses, and helps form clouds (option A).
What is evaporation?Evaporation is the process in which all or a portion of liquid (in a container) is turned into vapour, in order to increase the concentration of solid matter in the mixture.
Evaporation is the process that changes liquid water to gaseous water (water vapor). Water moves from the Earth's surface to the atmosphere via evaporation.
Evaporation occurs when energy (heat) forces the bonds that hold water molecules together to break. Condensation is the direct opposite of evaporation and is the process whereby water vapor (gas) turns back into liquid water.
Condensation occurs when saturated air is cooled, such as on the outside of a glass of ice water. Therefore, option A is what occurs when evaporation occurs in a lake.
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Given the following two (2) force vectors F₁-5i-2j+3k [N] and F2= 8i+2j+3k [N], find (a)
The angle between both vectors. Next, find (b) the projection (or shadow length) of force F1 on F2.
Lastly, find (c) the projection of F2 on F₁. Show all work and make sure you use proper vector
otation. (Hint: Use Dot Product)
Refer to the attached photo. Would appreciate a rate :)
Mike runs 400 m at track race in 58 seconds. What is his velocity?
Answer:6.897m/s
Explanation: velocity is the change of distance with time in a specified direction.
therefore to find velocity divide distance given by Time
V=distance/time
=400m/58s
=6.897m/s
why do living organisms release radiation
To maintain constant body temperature, living organisms release heat radiation.
What is the process of release heat radiation by living organisms?Life is dependent on homeostasis, which is the preservation of stable internal conditions, in warm-blooded animals. The consistent body temperature is one of homeostasis's signs. Depending on the species, this temperature for animals should range from 35 to 39.5 °C.
A portion of the heat generated in cells during breathing must be expelled in order to maintain a steady body temperature. Living things can lose heat through convection, conduction, radiation, and the loss of water through breathing and sweating (2260 KJ/Kg is the heat at which water vaporises). Imperceptible sweating and perceptible sweating are the two types of sweating that exist. The body naturally experiences unnoticeable sweating throughout the day.
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A 2050 kg space station orbits Earth at an altitude of 4.89 x 105 m. Find the magnitude of the force with which the space
station attracts Earth. The mass and mean radius of Earth are 5.98 x 1024 kg and 6.37 x 106 m, respectively.
Answer:
Explanation:
Given:
m = 2 050 km
M = 5.98·10²⁴ kg
h = 4.89·10⁵ m
R = 6.37·10⁶ m
____________
F - ?
F = G·m·M / R²
F = 6.67·10⁻¹¹·2050·5.98·10²⁴ / (6.37·10⁶)² = 18 400 N
Element Q has a half-life of 30 minutes. Which of the following statements is true regarding 4 nuclei of element Q after 90 minutes? Half of the last remaining nucleus will decay There will be 4 nuclei left There is a 50% chance the last remaining nucleus will have decayed There will be 2 nuclei left.
After 90 minutes, there is a 50% chance that the final nucleus will have decayed because element Q has a half-life of 30 minutes for its 4 nuclei. This phrase is frequently used in nuclear physics.
Examining the interaction that now exists between chemists and philosophers of chemistry gives a very singular chance to consider the conceptual nature of the term "element." Robert Boyle, an English scientist, initially proposed the chemical element. A quantity (of substancehalf-life )'s (symbol t12) is the amount of time needed for it to decrease to half of its original value. The phrase is frequently used in nuclear physics to refer to how long stable atoms last or how quickly unstable atoms decay radioactively.
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a 200. kg space probe descends to the surface of a planet. the speed of the probe during the time of descent is graphed above. the average force exerted on the probe from the moment the rockets fire at t
The average force exerted on the probe from the moment the rockets fire at t = 0 s to the moment it is at rest on the planet is about b. 10000N
As is visible from the graph
the velocity of the space probe at t = 0 sec
v₁ = 5000 m/s
the velocity of the space probe at t = 100 sec
v₂ = 0 m/s
therefore, average negative acceleration = v₂ - v₁ / t
= 0 - 5000 / 100 m/s²
therefore average force exerted on the probe
F = ma = 200 × 50 N
= 10000N
hence the average force is 10000N
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(complete question)
A 200. kg space probe descends to the surface of a planet. the speed of the probe during the time of descent is graphed above. the average force exerted on the probe from the moment the rockets fire at t = 0 s to the moment it is at rest on the planet is about... A) 2 800 N B) 10 000 N C) 145 000 N D) 29 000 000 N
(10.6) A Hubble constant of 50 km s−1 Mpc−1 corresponds to a Hubble time of about 20 billion years.
What would be the Hubble time for a Hubble constant of 100 km s−1 Mpc−1? 75 km s−1 Mpc−1?
If the rate of expansion of the universe is slowing
down with time, will the Hubble time over- or underestimate the age of the universe?
The Hubble time for a Hubble constant of 100 km/s.Mpc would be equal to 10 billion years.
What is Hubble’s Law?Hubble’s law can be described as the velocity of the galaxy, which is called the redshift, is directly proportional to its distance.
Hubble time can be described as the age taken by the universe to expand if the expansion was linear. Hubble time is dependent on the dimensionless factor, mass, and energy of the universe.
Hubble time for the Hubble constant is given as follows:
[tex]{\displaystyle t_H =\frac{1}{H_o}[/tex]
Given the Hubble constant, H₀ = 100 Km/s.Mpc
[tex]{\displaystyle t_H =\frac{1}{H_o} =\frac{1}{100}\times 3.16 \times 10^{19}[/tex]
[tex]{\displaystyle t_H =3.16 \times 10^{17}s[/tex]
[tex]{\displaystyle t_H =\frac{3.16 \times 10^{17}s}{3.16\times 10^{7}}[/tex]
[tex]{\displaystyle t_H = 10^{10}\;years[/tex]
[tex]{\displaystyle t_H = 10 \; billoin \; years[/tex]
Therefore, the Hubble time for a Hubble constant of 100 km/s Mpc is 10 billion years.
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A stone is thrown horizontally from a vertical cliff at a speed of 20 meters per second. The cliff is 30 meters above sea level and the
stone hits the sea after 2.5 seconds.
How far from the base of the cliff is the stone when it hits the sea? (g = 10 m/s)
1.5 POINTS
Answer:
Below
Explanation:
Find out how long it takes to fall the 30 m ....then use this time and the horizontal velocity to find the answer
For vertical : d = 1/2 a t^2
30 = 1/2 (10) t^2 so t = sqrt 6
Horizontal velocity * time = distance from cliff base
20 m/s * sqrt 6 = 48.99 = ~ 49 meters
5. Refer to Model 3. What is the relationship between the frequency of electromagnetic radiation and the
wavelength of electromagnetic radiation? Cite numerical evidence to support your answer. Need this ASAP
Answer:
The frequency and wavelength of electromagnetic radiation are inversely related.
Explanation:
Frequency and wavelength are inversely proportional. Theoretically, they are governed by [tex]\lambda * f = v[/tex], where lambda represents the wavelength, f represents the frequency, and v represents the speed of a wave. In this case, we can empirically notice from model 3 that as the wavelength increases(i.e., we move to the right of the electromagnetic radiation spectrum), the frequency decreases and vice versa. For example, long radio waves have a very high wavelength and a low frequency, whereas gamma rays(on left) have very high frequencies and low wavelengths. Thus, we can conclude that they are inversely related.
Which of the following distance vector features prevents routing loops by advertising an infinite metric route when a route fails?
Route poising, as opposed to merely discontinuing to display the route, refers to promoting the unsuccessful route with a "infinite" metric. Poison reversal is the practice of poisoning a route by publicizing it.
Reverse is what?In physics, the term "time reversal" refers to the mathematical process of substituting the word for time in equations or equations with its opposite in order to depict a situation in which time moves backwards or the motion are inverted. The cosmos cannot be "unmixed." This eventually suggests the time only exists as a result of the Big Bang.
Reverse time: What is it?In physics, the term "time reversal" refers to the mathematical process of substituting the word for time in formulas for equations with its opposite in order to represent a situation in which time moves backward or all motions are inverted.
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When heated, why does aluminum turn to powder
When the temperature of aluminium is increased, the metal expands and this is called thermal expansion.
What is ay or g for any projectile?
Answer: Negative
Explanation: The acceleration along the y-axis for any projectile motion will always be -9.8m/s^2.
What are the period and amplitude of the following wave? HELP!
Amplitude is one of these qualities. The largest movement of a particle on the medium from its rest position is referred to as a wave's amplitude.
Wavelength:
The wavelength of the wave is the distance covered by it throughout a whole oscillation.
A metre is the wavelength's SI unit (m).
Frequency:
The frequency of a wave is the number of oscillations it performs in a second.
It's calibrated in hertz (Hz).
time frame
The amplitude of the wave is the length of time it takes for one oscillation to complete.
Time is measured in S amplitude:
The wave's amplitude is defined as its largest departure from its mean or equilibrium position.
A measure of amplitude
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Can you pls help me
What is the correct definition of a resistor?
O a substance capable of transmitting and creating an electric charge
O a component that resists the flow of electricity
O a device that allows electrical energy to flow through a complete path
O the difference in electric charge between two points
A resistor is an electrical component that limits or regulates the flow of electrical current in an electronic circuit.
What is the main purpose of resistor in devices?The amount of resistance in an electrical circuit represents the resistance to current flow. The Greek letter omega (), which represents resistance, represents ohms.Electrical resistance is implemented as a circuit element by resistors, which are passive two-terminal electrical components. Resistors are devices that are used in electronic circuits for a variety of purposes, including lowering current flow, adjusting signal levels, dividing voltages, active components, and terminating transmission lines.When a resistor is inserted into a circuit, the amount of current flowing through the circuit is reduced. Because a portion of the energy in the current is lost as heat in the resistor, the overall current is reduced.To learn more about resistor refer to:
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types and uses of metals
Answer:
PLS RATE AS BRAINIEST
Explanation:
Types of metals are:-
FERROUS METALS:- these are metals that contain iron in them and some additional mineral elements e.g iron(fe), gold(Au) Zinc(zn)NON FERROUS METALS:- these are metals that do not contain iron in them e.g aluminium, copper, lead, nickel, tin, titanium and zinc, as well as copper alloys like brass and bronzeUSES OF METALS
To make cooking wares.To make cooking wares.In making electric appliances, electric wires, fridge etc.To make cooking wares.In making electric appliances, electric wires, fridge etc.Sheets of aluminium and iron for buildings materials.To make cooking wares.In making electric appliances, electric wires, fridge etc.Sheets of aluminium and iron for buildings materials.In manufacturing jewellery from gold, silver, coins and from copper, aluminium etc.I HOPE THIS HELPED
Part A Is the electric field strength in (Figure 1) changing, or not changing? Match the words in the left column to the appropriate blanks in the sentences on the right. Reset Help Ampere-Maxwell law, first half, According to the magnetic field Ampere-Maxwell law, second half, Faraday's law, can create the electric field, and not vice versa. So the figure doesn't make sense. is created by currents. Since there is no current, the figure doesn't make sense. can be created by the static electric field. So the electric field strength is not changing. can be created by the changing electric field. So the electric field strength is changing
According to Ampere Maxwell's law, the first half, the magnetic field can be created by the changing electric field. So, the electric field strength is changing.
In a static electric field, according to Ampere maxwell law, the divergence at one point is equal to the electric charge volume density ρ at that point divided by ε0. The physical meaning of this statement is that a circulating magnetic field is created by an electric current and also may be by an electric field that changes with time.
An electric current, or we can say a changing electric flux through a surface, has the ability to produce a circulating magnetic field around a path that bounds the given surface. The direction of the current and the induced magnetic field is known by the right-hand rule, as shown below.
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A car travels east with an acceleration of 0.20 m/s2east. It takes 45.0s to travel from position xiat 250.0 m east of the origin, to position xfat 1250 m east of the origin. What is the initial velocity of the car at position xi
With the use of second equation of motion, the magnitude of the initial velocity of the object is 17.72 m/s
What is Velocity ?Velocity is the distance travel in a specific direction per time taken. It is a vector quantity and it is measured in m/s
Given that a car travels east with an acceleration of 0.20 m/s². It takes 45.0s to travel from position xi at 250.0 m east of the origin, to position xf at 1250 m east of the origin. That is,
Acceleration a = 0.20 m/s²Time t = 45 sDistance s = 1250 - 250 = 1000 m Initial velocity u = ?The initial velocity of the car at position xi can be found by using the formula
s = ut + 1/2at²
Substitute all the parameters
1000 = 45u + 1/2 × 0.2 × 45²
1000 = 45u + 202.5
45u = 1000 - 202.5
45u = 797.5
u = 797.5/45
u = 17.72 m/s
Therefore, the initial velocity of the car at position xi is 17.72 m/s
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During each heartbeat, approximately 73 cm^3 of blood is pushed from the heart at an average pressure of 105 mm-Hg. Calculate the power output of the heart, in watts, assuming 70 beats per minute.
The heart's power output , based on an assumption of 70 beats per minute, is 0.93W. An average of 105 mm-Hg of pressure is used to push out 73 cm3 of blood throughout each heartbeat.
Power is the quantity of energy that is transported or transformed per unit of time in physics. The average blood pressure is 105 mm Hg, or 70 beats per minute, or 1.16 beats per second (1 mm Hg = 133 N/m2), depending on the number of heartbeats per minute.
Power output is given by the formula P =nW,
where n =heart rate work done is given by the formula
W = =pAd =pV,
therefore W =pV.
derived from equations (1) and (2), P =nPV = ((70/60)beats/s)(105133 N/m2)(7310-6m3)
P = 0.93 W for power output
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a double-decker london bus (figure 1) might be in danger of rolling over in a highway accident, but at the low speeds of its urban environment, it's plenty stable. the track width is 2.05 m. with no passengers, the height of the center of gravity is 1.45 m, rising to 1.73 m when the bus is loaded to capacity. What are the critical angles for both the unloaded and loaded bus?
When the bus is fully loaded, the center of gravity rises to 1.73 m, and the critical angles are 35.3 degrees for the unloaded bus and 30.6 degrees for the loaded bus, respectively.
Center of gravity: What is it?Theoretically, the body's total weight is concentrated at a location called the center of gravity.
What distinguishes the center of mass from the center of gravity?The main distinction between the centers of mass and gravity is that the center of gravity refers to the location where the total weight of the body is balanced, whereas the center of mass refers to the location where the body's complete mass is directed.
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Which of the following observations provides the best evidence for the big bang theory? A. The spacing of galaxies within the universe B. The location of the gas giants in our solar system C. The length contraction seen at speeds close to c D. The redshift seen in light from other galaxies
The spacing of galaxies inside the universe provides the strongest evidence for the big bang theory, hence choice A is the correct one.
What is The Big Bang Theory explain?Astronomers use the big bang theory to describe how the cosmos came into being. It is the hypothesis that the universe started out as a single point, then grew and stretched until it reached its current size—and is still growing. Jim Parsons has given an explanation for why he is leaving The Big Bang Theory. The American actor, who has been Sheldon Cooper in the critically acclaimed sitcom for 12 seasons, stated in an interview with The Hollywood Reporter that it was time for him to depart since it had "become increasingly challenging."
Is The Big Bang Theory fact or truth?Although a hypothesis can never be proven, it must be "testable" through observation or experimentation. Despite these significant issues, the Big Bang Theory has so far mainly held up to observations and is widely regarded among the cosmology community.
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can anyone help me with this question:
a swimmer swims at 5m/s. How long would it take to swim 5 laps of a 50m pool
Answer:
Time=Distance÷Speed
Time=250m(50m×5)÷5m/s
Time=50s
several forces are applied to the pipe assembly shown. knowing that the pipe has inner and outer diameters equal to 1.61 in. and 1.90 in., respectively, determine the normal and shearing stresses at (a) point h, (b) point k
At points h and k, the normal linear shearing strains are 0.423 in.3 and 0.16536 in.3, or 1982.3 psi and 156.1 psi, respectively.
How does science define force?The word "force" has a specific meaning in science. At this level, calling a force a push or indeed a pull is entirely appropriate. A energy is not something an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.
Briefing:
To replace all forces on a pipe by the equivalent force
T= 8× 50 = 400lb.in
M = 16.30 = 480lb.in
F₂ = 50lb
To calculate the polar moment of inertia of shaft is
J = π/π²×(R⁴-r⁴)
= π²/2×(0.875⁴ - 0.750⁴)
= 0.423in.³
To calculate the moment of inertia
J= 1/2(J)
=1/2 (0.423)
=0.21188in.³
To calculate shear flow
Qy= 2/3(R³-r³)
= 2/3(0.875³- 0.750³)
= 0.16536in.³
To calculate the thickness of the shaft
t= R-r = 0.875 - 0.750 = 0.125 in.
The stress due to torsions is.
Tx = TR/J = 400 × 0.875/0.42376
=825. 9psi.
The stress due to bending
Qx =My/T = 480 × 0.875/0.2118
=1982.3psi
The stress due to transverse shear
Qx = VQ/I(2t)
=50 × 0.16536/0.2118× 0.250
=156.1psi
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an athlete of mass 50 kg runs up a hill the foot of the hill is 400m above sea level. by how much potential does the athletes gravitational potential energy increase? (Acceleration due to gravity g=10 m/s2
The potential of the athletes gravitational potential energy during running up a hill increases by 245000 Joules.
What is the gravitational potential energy?The energy that an object stores as a function of its height or vertical position is known as gravitational potential energy. Because of the Earth's gravitational pull on the object, the energy is stored.
The relationship between mass, gravity, and change in height is defined mathematically. The formula is used to calculate it is:
PE = m × g × h
Here, it is given that-
The mass of the athlete = 50 Kg
The Initial height, h1 = 400 m
The final height, h2 = 900 m
Firstly, gravitational potential energy is calculated when athlete is at a height of h1 that is 400 m. On the putting the given values in the formula-
PE1 = 50 × 9.8 × 400
PE1 = 196000 Joules
Next, we will calculate the gravitational potential energy when athlete is at a height of h2 that is 900 m. By putting the values in the formula, we get-
PE2 = 50 × 9.8 × 900
PE2 = 441000 Joules
Now, to calculate the increase in gravitational potential energy when athlete runs up a hill from a height of 400m to 900m we can subtract the potential energies-
Potential by which athlete's gravitational potential energy increases = PE2 - PE1 = 441000 - 196000 = 245000 Joules or 245 kilo joules
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The complete question is:
An athlete with a mass of 50 kg runs up a hill. The foot of the hill is 400 m above sea level and the summit is 900 m above sea level. Calculate by how much the athlete's gravitational potential energy increases.
While running up a hill, an athlete's gravitational potential energy increases by 245,000 joules.
How much energy does gravity potentially hold?
Gravitational potential energy is the amount of energy an object may hold depending on its height or vertical position. The energy is trapped by the gravitational pull of the Earth on the object.
Mathematical formulas are used to define the relationship between mass, gravity, and height change. It is calculated using the following formula:
PE = m × g × h
It is said here that-
The athlete weighs 50 kg.
Initial height, 400 m (h1)
H2 = 900 metres is the final height.
First, the athlete's gravitational potential energy is determined when they are 400 metres above the ground (h1). Upon entering the specified values into the formula:
PE1 = 50 × 9.8 × 400
196000 Joules for PE1.
The gravitational potential energy for an athlete at a height of h2 of 900 m will then be determined. When we enter the values into the formula, we obtain:
PE2 = 50 × 9.8 × 900
PE2 equals 441,000 Joules
Now, we can subtract the potential energies to determine the increase in gravitational potential energy that occurs when an athlete sprints up a hill from a height of 400 to 900 metres.
PE2 - PE1 = 441000 - 196000 = 245000 Joules, or 245 kilojoules, is the potential by which an athlete's gravitational potential energy increases.
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What is wavefonts ?
Hi
A net force of 140 Newton's is applied to a wagon for 10 seconds. This causes the wagon to undergo a change of momentum of
When a net force of 140 Newton's is applied to a wagon for 10 seconds, this causes the wagon to undergo a change of momentum of 1400 Newton-second.
What is momentum?momentum is the product of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.
Given that:
Net force acting on the wagon: F = 140 Newton.
Time duration: t = 10 seconds.
According to Isaac Newton's second equation of motion:
Force acting on the wagon = change in momentum/time duration
⇒ Change in momentum = Force acting on the wagon × time duration
= 140 × 10 Newton-second.
= 1400 Newton-second.
Hence, The wagon undergoes a change of momentum of 1400 Newton-second.
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A typical ceiling fan running at high speed has an airflow of about 1.25 ✕ 103 ft3/min, meaning that about 1.25 ✕ 103 cubic feet of air move over the fan blades each minute.
The speed of 1.25 ×10³ ft³/min of the airflow is equivalent to 0.56 m³/s.
What is speed?The speed of a moving body can be defined as a measurement of how quickly the distance a body traveled changes with time. Speed is defined as a scalar parameter as it exhibits magnitude but no direction.
A body that travels faster and with high speed, can travel a lot of ground in a lesser time.
Given, the speed of the airflow of the fan = 1.25 ×10³ ft³/min
We have to express the ft³/min into m³/s:
We know that 1 foot = 0.3 m and 1 min = 60 s
1.25 ×10³ ft³/min = 1.25 ×10³ (0.3 m)³/ 60 s
1.25 ×10³ ft³/min = 0.56 × 10³ ×10⁻³ m³/s
1.25 ×10³ ft³/min = 0.56 m³/s
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