Three-dimensional shape the presence of suggests that an object has weight and gravity, while the absence of it suggests lightness or airiness.
What do you mean by three-dimensional shape?A solid figure, object, or shape with three dimensions—length, breadth, and height—is known as a three-dimensional shape in geometry. Three-dimensional shapes have height, which is equivalent to thickness or depth, unlike two-dimensional shapes. These objects are sometimes referred to as 3-D forms because three dimensions can also be written as 3-D. Every 3-D shape takes up space, which is quantified by volume. For instance, The fundamental 3-dimensional shapes we encounter every day include a cube, rectangular prism, sphere, cone, and cylinder. We can see 3-D shapes all around us. A square prism can be seen in a book and a box, a cube in a Rubik's Cube and a die, etc.
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If a cannonball were launched horizontally (launch angle of 0) with a speed of 35m/s from a height of 15m, how long would the cannonball remain in the air?
Since the cannonball was launched horizontally (launch angle of 0) with a speed of 35m/s from a height of 15m, the time the cannonball remains in the air is for 1.75 s
What is a projectile?A projectile is an object that moves through air in a parabolic path
How long would the cannonball remain in the air?Since the cannonball is a projectile and was launched horizontally (launch angle of 0) with a speed of 35m/s from a height of 15m, using the equation of motion y' - y = ut - 1/2gt² we find the time it takes the cannonball to reach the ground. or remain in the air
Since y' - y = ut - 1/2gt² where
y' = ground level = 0 my = height cannonball is launched from = 15 m, u = initial vertical speed of cannonball = 0 m/s (since it is launched horizontally), t = time cannonball is in the air, g = acceleration due to gravity = 9.8 m/s²Substituting the values of the variables into the equation and solving for t, we have
y' - y = ut - 1/2gt²
0 m - 15 m = 0 m/s × t - 1/2 (9.8 m/s²)t²
- 15 m = 0 m/s - (4.9 m/s²)t²
- 15 m = - (4.9 m/s²)t²
t² = -15 m/- (4.9 m/s²)
t² = 3.061 s²
t = √3.061 s²
t = 1.75 s
So, the time the cannonball remains in the air is for 1.75 s
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3. The runner ran a distance 100m with a force of 45N. How much work
was done? (W=Fx d)
Answer:
Hope my answer is understandable to you.
Explain in terms of energy the process
which takes place as a solid at its melting
point changes into a liquid at the same
temperature.
Explanation:
Endothermic reaction as heat from the environment is absorbed.
the transformation from solid to liquid is due to the latent heat of fusion/ enthalpy of fusion.
the heat energy absorbed from the environment is used to break the bonds of the solid structure therein converting it to a liquid. this is the reason why the temperature of the substance is constant at the state changes.
Four toy cars are moving at a constant speed until they experience an unbalanced force of 12 n each. Which toy car would have an acceleration of 3 m/s2 ?.
The car's acceleration would be for a mass of 4 kg is 3 m/s²
Given the information below:
12 Newtons of force.
Increasing speed Equals
By using Newton's Second Law of Motion, we can determine the mass of the car:
According to Newton's second law of motion, force is equal to the rate at which momentum changes. Force is defined as mass times acceleration for a constant mass.
force= mass* acceleration
This formula provides Newton's Second Law of Motion mathematically;
12= mass*3
mass=12/ 3
mass=4 kilogram
By changing the parameters in the formula, we obtain;
= 4 kilos of mass.
As a result, the vehicle with a mass of 4 kg would accelerate at 3 m/s².
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a helicopter flies with an average velocity of 70.0\, \dfrac{\text{m}}{\text{s}}70.0 s m 70, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction for 10.0\, \text{seconds}10.0seconds10, point, 0, start text, s, e, c, o, n, d, s, end text. what is the magnitude of the helicopter’s displacement?
Considering the definition of velocity, the magnitude of the helicopter's displacement is 700 meters.
Definition of velocityVelocity is a physical magnitude that relates the displacement of an object, the time it takes to make this change in position and direction.
In other words, the velocity can be defined as the amount of space traveled per unit of time with which a body moves, considering the direction.
The velocity can be calculated using the expression:
velocity= displacement÷ time
This caseIn this case, you know:
Velocity = 70 m/sTime = 10 seconds.Replacing in the definition of velocity:
70 m/s= displacement÷ 10 s
Solving:
70 m/s× 10 s= displacement
700 m= displacement
Finally, the magnitude of the helicopter's displacement is 700 meters.
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An 8.5kg cat is running 1.8m/s. How much kinetic energy does it have?
Answer:
Im not sure if this is correct but it might be 15.3
Explanation:
8.5kg multiplied by 1.8 m/s is 15.3
Answer:
KE = 13.77 J
Explanation:
KE=1/2 mv^2
three resistors having values of 4 ω, 6 ω, and 10 ω are connected in parallel. this circuit is connected to a 12 v battery. what is the current in the 10 ω resistor?
While current is the same in series and parallel, voltage is not. Therefore, because these three resistors are connected in parallel, their voltage is the same, or 12 volts. Using the equation V=IR, 12V=I*10Ω gives you a current of 1.2A.
What is resistor?A resistor is a passive two-terminal electrical component used in circuits to implement electrical resistance. Resistors have a variety of purposes in electronic circuits, reducing current flow, modifying signal levels, dividing voltages, biassing active components, and terminating transmission lines are a few examples. High-power resistors that can generate many watts of heat instead of electrical energy can be utilised as test loads for generators, power distribution systems, and motor controls. Fixed resistors' resistances only sporadically vary as a result of changes in operating voltage, time, or temperature. Variable resistors can be utilised as force sensors, heat sensors, light sensors, volume controls, lamp dimmers, humidity sensors, and chemical activity sensors.
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Liam notices that his phone battery is depleting faster than he remembers it should. He suspects that running certain apps on his phone is using up his phone battery. He thinks it might be app 1, app 2, or app 3.
Find the independent, dependent, and controlled variables. What is your hypothesis.
Answer:
he would tap on the "close tab "button and see old the apps he has used in that period
Explanation:
During a game of pool, a cue ball travels to the left with 70 N of force and collides with the four ball moving with a force of 50 N to the right. If you assign a
negative value to the force moving to the right, what is the net force of this system?
Answer:
net force= -50N +70N
=20N
Explanation:
The balls are moving in opposite directions as indicated and to the right is (-) while to left is (+). Therefore net force is equal to sum of the force
The cue ball travels to the left with a force of +70 N and collides with the four-ball moving towards the right with a force of -50 N.
What is Force?A push or a pull that alters or tends to alter an object's uniform motion or state of rest, as well as altering an object's direction or shape, is referred to as force. It either accelerates items or increases the pressure they are under. The interaction between two items is, to put it simply, a push or a pull on the object. It is the fundamental driver of motion starting from stillness.
Given information according to the question,
The cue ball travels to the left with a force of +70 N and,
The force by four balls moving to the right is -50 N.
Net force, N = 70 N - 50 N
N = 20 N towards the left direction.
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The most soaring vocal melody is in Johann Sebastian Bach's Mass in B Minor. In one section, the basses, tenors, altos, and sopranos carry the melody from a low D to a highA. In concert pitch, these notes are now assigned frequencies of 146.8Hz and 880.0 Hz . Find the wavelengths of(a) the initial note
The wavelength of initial node is 2.34m.
What is wavelength?The wavelength, which in physics refers to the length over which a periodic wave repeats, is its spatial period. It is the distance between two successive corresponding wave points of the same phase, such as two neighboring crests, troughs, or zero crossings, and it is a feature of both traveling waves and standing waves, as well as other spatial wave patterns. The spatial frequency is defined as the wavelength's inverse. Greek letter lambda, which means "wavelength," is frequently used to denote it. Sometimes, modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids are all referred to by the term wavelength.
Wave lengthλ=[tex]\frac{v}{f} = \frac{343 m/g}{146.6/g} =2.34m[/tex].
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Charges of 3.00nC,-2.00 nC,-7.00 nC, and 1.00nC are contained inside a rectangular box with length 1.00m, width 2.00m, and height 2.50m. Outside the box are charges of 1.00nC and 4.00nC . What is the electric flux through the surface of the box? (a) 0(b) -5.64× 10² N . m²/C(c) -1.47 ×10³ N . m²/C(d) 1.47× 10³ N . m²/C(e) 5.64× 10² N . m²/C
The electric flux through the surface is 5.65×〖10〗^2 Nm^2/C ≈5.6×〖10〗^2 Nm^2/C
The electric flux through a surface describes the number of electric field lines that cross that surface. It is expressed as the surface integral of the electric field through that surface.
Gauss's law states that for a closed surface, the electric flux through that surface depends only on the total charge present inside that surface. Hence, for a closed surface, the electric flux can be computed without evaluating any integrals.
The charges are: q1=3.0nC, q2=−2.0nC, q3=−7.0nC, and q4=1.0nC
Gauss's Law provides that the net electric flux through a closed surface depends only on the net charge enclosed by the surface, by the equation:
ϕ=Qnet÷ϵ0
where,
Φ is the net electric flux through the closed surface.
Qnet is the net charge enclosed by the surface.
∈_0=8.85×〖10〗^(-12) C^2/Nm^2 is the permittivity of free space.
The net charge inside the box is:
Qnet = q1+q2+q3+q4
=3.0nC−2.0nC−7.0nC+1.0nC
= −5.0nC=−5.0×10−9C
The net electric flux through the box is:
Φ=Q_net/∈_0
Φ=(-5.0×〖10〗^(-9) C)/(8.85×〖10〗^(-12) C^2/Nm^2 )
Φ=5.65×〖10〗^2 Nm^2/C ≈5.6×〖10〗^2 Nm^2/C
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When a wave encounters an obstacle or a slit that is comparable in size to its wavelength, it bends around it. This characteristic is called ________.
If you double the wavelength of light, what happens to the energy of the photons?.
Answer:
the energy of photon will be half.
Explanation:
If you need a deeper explanation please let me know. Hope I helped!
The magnetic field 40.0 cm away from a long, straight wire carrying current 2.00 A is 1.00μT. (a) At what distance is it 0.100μ
The distance should be 4m from the wire in order to get the magnetic field of 0.100μ .
The magnitude and direction of the magnetic field due to a straight wire carrying current can be calculated using the previously mentioned Biot-Savart law. Let "I" be the current flowing in a straight line and "r" be the distance. Then the magnetic field produced by the wire at that particular point is given by [tex]B=\frac{u_0I}{2\pi r}[/tex] ...(1)Since the wire is assumed to be very long, the magnitude of the magnetic field depends on the distance of the point from the wire rather than the position along the wire.It is given that magnetic field 40.0 cm away from a straight wire is 1.00μT having current 2.00 A .
From equation (1) magnetic field 40.0 cm = 0.4m away from a straight wire is 1.00μT which is given by [tex]1.00=\frac{u_0I}{2\pi \times0.4}[/tex] .....(2)
From equation (1) magnetic field 'r' m away from a straight wire is 0.100μT which is given by [tex]0.100=\frac{u_0I}{2\pi \times r}[/tex] ...(3)
On dividing equation (2) by (3) , we get
[tex]\frac{1}{0.1} =\frac{r}{0.4} \\\\r=4m[/tex]
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At one location on the Earth, the rms value of the magnetic field caused by solar radiation is 1.80 μT. From this value, calculate (b) the average energy density of the solar component of electromagnetic radiation at this location.
The average energy density of the solar component of electromagnetic radiation at this location is determined as 2.58 x 10⁻⁶ J.
Average energy densityThe average energy density of the solar component of electromagnetic radiation at this location is calculated as follows;
U(avg) = (Brms)²/μ₀
U(avg) = (1.8 x 10⁻⁶)² / (4π x 10⁻⁷)
U(avg) = 2.58 x 10⁻⁶ J
Thus, the average energy density of the solar component of electromagnetic radiation at this location is determined as 2.58 x 10⁻⁶ J.
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A car starts from rest and accelerates at 4 m/s2 until it reaches 36 m/s. How far did it travel at this time?
The distance of a car that accelerates at 4 m/s² until it reaches 36 m/s is 162m.
How to calculate distance?The distance moved by a body can be calculated using the following formula:
S = ut + ½at²
Where;
S = distancet = time a = accelerationu = velocityHowever, the time taken must be calculated first as follows:
t = 36m/s ÷ 4m/s²
t = 9s
S = 0 × t + ½ × 4 × 9²
S = 0 + ½ × 81 × 2
S = 162m
Therefore, the distance of a car that accelerates at 4 m/s² until it reaches 36 m/s is 162m.
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A guitar's steel string vibrates (see Fig. 31.5). The component of magnetic field perpendicular to the area of a pickup coil nearby is given byB=50.0+3.20 sin 1046 πtwhere B is in milliteslas and t is in seconds. The circular pickup coil has 30 turns and radius 2.70mm. Find the emf induced in the coil as a function of time.
The emf induced in the coil as a function of time is 2.2 mV.
emf induced in the coil
The emf induced in the coil is calculated as follows;
emf = NAdB/dt
where;
N is number of turnA is the area of the coildB/dt is the change in magnetic field with timeA is area of the coil, A = πr² = π(2.7 x 10⁻³)² = 2.29 x 10⁻⁵ m².
dB/dt = 3.2cos(1046π) = 3.2
emf = (30 x 2.29 x 10⁻⁵ x 3.2) = 2.2 x 10⁻³ V
emf = 2.2 mV
Thus, the emf induced in the coil as a function of time is 2.2 mV.
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when discussing a particular body, the action forces are defined as those forces that directly affect the acceleration of that body. with this in mind, classify the forces acting on each object according to whether they are action forces or reaction forces. to simplify matters, ignore the friction acting on the front tires of the car. be sure to answer both parts of the question.
The force acting on a car will be an action type of force.
What is Newton's second law?The effects of net force and mass on a material's acceleration are described by Newton's second law. Newton's second law is given as,
F = ma
Where m is the mass, a is the acceleration, and F is the force acting on a body.
The forces that actually affect a body's acceleration are referred to as the active forces when a specific body is under discussion. Ignore the resistance the car's front tires experience to make things easier.
A force of the action kind will be exerted on an automobile.
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an astronomical unit is the average disce of earth from the sun approximately 1//5 *10^^8 the pseed of light is 3*10^88 express the speed of light in terms of astronomical units per min
Speed of light in terms of astronomical unit is 0.12AU/min.
What is an astronomical unit?The astronomical unit (symbol: au, or AU) is a measurement of length that is approximately 150 million kilometers (93 million miles) or 8.3 light minutes long, representing the distance between the Earth and the Sun. As Earth orbits the Sun, its actual distance from the Sun changes by roughly 3%, going from its greatest value (aphelion) to its smallest value (perihelion), and back again, once a year. Originally intended to represent the average of Earth's aphelion and perihelion, the astronomical unit has been precisely defined as 149597870700 m since 2012. The astronomical unit is mostly used to calculate distances within or around other stars and other solar systems. It is also a crucial element in the definition of the parsec, another astronomical measure of length.
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In a certain series R L C circuit, Irms=9.00A, ΔVrms=180V, and the current leads the voltage by 37.0⁰. (a) What is the total resistance of the circuit?
The total resistance of the RLC series circuit is determined as 20 ohms.
Total resistance of the circuit
The total resistance of the RLC series circuit is calculated as follows;
R = Vrms / Irms
where;
Vrms is the root mean square voltageIrms is the root mean square currentSubstitute the given parameters and solve for the total resistance
R = (180) / (9)
R = 20 ohms
Thus, the total resistance of the RLC series circuit is determined as 20 ohms.
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Sally has a car that accelerates at 5 m/s. If the car has a mass of 1000 kg, how much force does t
car produce?
F=
m=
a=
Answer:
5000N
Explanation:
Force is given by the formula F = ma where m is the mass and a the acceleration
Plugging in given values of m and a gives us
F = 1000 kg x 5 m/s² = 5000 Newtons or simply 5000N
the force that gravitation exerts upon a body, equal to the mass of the body times the local acceleration of gravity
The force that gravitation exerts upon a body, equal to the mass of the body times the local acceleration of gravity is known as weight.
Weight is the force of gravity acting on a body.
The formula is :
W =mg
Here,
W is the weight or force acting on the body. m is the mass of the body, and g is the gravitational acceleration.
Since weight is also a force, so its SI unit is also newton. The value of weight varies from place to place depending on the gravity. Its value can also be equal to zero.
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A person wears a hearing aid that uniformly increases the sound level of all audible frequencies of sound by 30.0 dB . The hearing aid picks up sound having a frequency of 250Hz at an intensity of 3.0 × 10¹¹W/m² . What is the intensity delivered to the eardrum?
The intensity delivered to the eardrum is [tex]3.0 \times {10^{ - 8}}\,W/{m^2}$[/tex].
What is intensity?
The area is measured on a plane perpendicular to the direction of the energy's transmission, and the power transferred per unit area is known in physics as the intensity or flux of radiant radiation. The SI system's fundamental units are watts per square meter. The average power transmission across the course of a wave, such as sound waves or electromagnetic waves like light or radio waves, is referred to as the "intensity" of the wave. The term "intensity" can be used to characterize a wide range of energy exchange scenarios. For example, one may calculate the amount of kinetic energy that each drop of water from a sprinkler is carrying. It is possible to determine intensity using the energy density.
Calculations:
[tex]${\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_1}}}{{{I_0}}}} \right)$ and ${\beta _2} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_0}}}} \right)$$ = {\beta _2} - {\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_0}}}} \right) - 10{\log _{10}}\left( {\dfrac{{{I_1}}}{{{I_0}}}} \right)$[/tex][tex]$ \ {\beta _2} - {\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_0}}} \times \dfrac{{{I_0}}}{{{I_1}}}} \right)$ [Using $\log a - \log b = \log \left( {\dfrac{a}{b}} \right)$][/tex]
[tex]$ \arrow = {\beta _2} - {\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_1}}}} \right)$\[ \arrow = \dfrac{{{\beta _2} - {\beta _1}}}{{10}} = {\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_1}}}} \right)\][/tex]
[tex]\[ \arrow ={10^{\dfrac{{{\beta _2} - {\beta _1}}}{{10}}}} = \dfrac{{{I_2}}}{{{I_1}}}\]\[ \arrow ={I_2} = {I_1}{10^{\dfrac{{{\beta _2} - {\beta _1}}}{{10}}}}\]Thus, we have ${I_2} = 3.0 \times {10^{ - 11}}\,W/{m^2} \times {10^{\dfrac{{30.0}}{{10}}}}$$ \arrow= {I_2} = 3.0 \times {10^{ - 11}} \times {10^3}\,W/{m^2}$$ \arrow ={I_2} = 3.0 \times {10^{ - 8}}\,W/{m^2}$[/tex]
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A boat travels 12. 0 m while it reduces its velocity from 9. 5 m/s to 5. 5 m/s. What is the magnitude of the boat’s acceleration while it travels the 12. 0 m?.
A boat travels 12. 0 m while reduces its velocity from 9. 5 m/s to 5. 5 m/s, while it travels the 12. 0 m, the acceleration of the boat is -2.5 m/s²
What is acceleration?The rate at which an object's velocity with respect to the time changes is referred to as acceleration. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force acting on an object determines the direction of its acceleration. According to Newton's Second Law, the amount of an object's acceleration is the combined result of two causes:
The size of the net balance of all external forces acting on that object is directly proportional to the magnitude of this net resulting force; The magnitude of the mass of that object, depending on the materials out of which it is built, is inversely proportional to the magnitude of the mass.The given parameters;
distance traveled by boat, d = 12 m
initial velocity of boat, u = 9.5 m/s
final velocity of boat, v = 5.5 m/s
The acceleration of boat is calculated as;
[tex]v^{2}=u^{2}+2as\\ a=\frac{v^{2}-u^{2} }{2s}\\ a=\frac{5.5^{2}-9.5^{2} }{2*12}[/tex]
a=-2.5m/[tex]s^{2}[/tex]
Thus, the deceleration of boat is 2.5 m/s².
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When thermal energy is removed from particles, what action occurs?
A The particles' energy is destroyed.
B The particles' temperature increases.
C The particles move more quickly.
D The particles' kinetic energy decreases.
When thermal energy is removed from particles, then the particles' kinetic energy decreases (Option D).
What is particles' kinetic energy?The expression particles' kinetic energy makes reference to the amount of motion energy (i.e. energy in movement) that contain the particles of an object, which depends on the temperature of the material.
In conclusion, when thermal energy is removed from particles, then the particles' kinetic energy decreases (Option D).
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an object is dropped from a bridge and allowed to freefall to the ground. the height of the object over time can be modeled using h(t)
Dropped from a bridge and allowed to fall freely to the ground is an object. Modeling the object's height over time using h(t) = 144 - 16t2 is possible
What do you mean by Freefall?An item that is falling only due to gravity is said to be in free fall. This means that any moving object that is simply being affected by gravity is said to be "in a condition of free fall." An item of this kind will accelerate downhill at a rate of 9.8 m/s/s. If an item is just moving in one direction—downward or upward toward its peak—and is only affected by gravity, then its acceleration value is 9.8 m/s/s.
The initial velocity of an object being dropped from a height is zero meters per second (m/s) as opposed to being hurled.
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The force applied at the handle of the rigid lever causes the lever to rotate clockwise about the pin b through an angle of 2°. Determine the average normal strain in each wire. The wires are unstretched when the lever is in the horizontal position.
The average normal strain in wires A, C and D is found to be 0.035, 0.035 and 0.059 respectively when there is a change in the angle by 2° clockwise.
A physical measurement called strain illustrates how much an object's dimensions vary while it is under stress. The ratio between the object's changed length and its initial length is known as the linear strain.
All wires are stretched when the stiff lever rotates 2° in a clockwise direction around pin B.
Elongation would be R x angle in radian
Elongation in the wire A = 200 mm x 3.142 x 2/180 = 6.982 mm
Elongation in the wire C = 300 x 3.142 x 2/180 = 10.473 mm
Elongation in the wire D = 500 x 3.142 x 2/180 = 17.455 mm
Therefore,
Average normal strain in the wire A = 6.982/200 = 0.03491
Average normal strain in the wire C = 10.473/300 = 0.03491
Average normal strain in the wire D = 17.455/300 = 0.05818
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A 55.0-kg woman cheats on her diet and eats a 540 Calorie ( 540 kcal ) jelly doughnut for breakfast. (c) If the human body is only 25.0% efficient in converting chemical potential energy to mechanical energy, how many steps must the woman climb to work off her breakfast?
The woman needs to climb a step of 1.05 m to work off her breakfast.
What is potential energy?
The potential energy of an object is the energy that is stored in the object due to its position above the ground level.
The potential energy of the woman can be used to determine the number of steps she needs to climb.
potential energy + heat energy = chemical energy
1 kcal = 4184 J
0.540 kcal = ?
= 2259.36 J
P.E = mgh
55 x 9.8 x h = 0.25(2259.36)
h = 1.05 m
Thus, the woman needs to climb a step of 1.05 m to work off her breakfast.
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A man on a scooter travels directly west for 50 meters, it took the man 45 seconds to reach his destination. What was his velocity?
Answer:
1.2 m/s
Explanation:
You must divide the distance by time in order to find velocity! 50/45. He was going 1.2 m/s!
Answer: 34
Explanation:
A nonconducting wall carries charge with a uniform density of 8.60μC/cm²(a) What is the electric field 7.00 cm in front of the wall if 7.00 cm is small compared with the dimensions of the wall? Explain.
The electric field at a distance of 7.00 cm is 8.60×10^−2C/m2
The charge per unit area of wall is
σ = (8.60×10^−6C/cm2)( 100cm /m)^2 = 8.60×10^−2C/m2
The electric field at a distance of 2.00 cm is then
E = σ /7∈0 = (8.60×10^−2C/m^2) / 7(8.85×10−12C2/N⋅m2)
= 1.38×10^9N/C away from the wall.
Electric field, an electric property associated with each point in space when the charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field.
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