The voltage at the inverting terminal is 7.5 V. V out is -12.5 V. The current flowing through R4 is 0.5 mA.
Given that Vn, Vout, and lout for the circuit shown below and op amp is ideal.In the circuit, current I2 flows through the 2.5 kΩ resistor.
Therefore, the voltage drop across the 2.5 kΩ resistor is given by,
Vn = I2 x R2Vn = 3 mA x 2.5 kΩ = 7.5 V
Therefore, the voltage at the inverting terminal is 7.5 V.
Since op-amp is assumed to be ideal, no current flows into the inverting and non-inverting terminals.
Therefore, current through R3 is given by,
I3 = (Vn - Vout) / R3=> Vout = Vn - I3 x R3=> Vout = 7.5 V - 4 mA x 5 kΩ=> Vout = - 12.5 V
Therefore, Vout is -12.5 V.
Let's calculate the current flowing through R4:
This current will also flow through the 5 kΩ resistor.
Let lout be the current flowing through R4.
Therefore, current through the 5 kΩ resistor is also lout.
Now, I4 + lout = I3=> I4 = I3 - lout=> I4 = 4 mA - lout
Also, I4 = (5 V - Vout) / R4=> 4 mA - lout = (5 V - (-12.5 V)) / 5 kΩ=> 4 mA - lout = 3.5 mA=> lout = 0.5 mA
Therefore, lout is 0.5 mA.
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What are two adaptations that telescope must make to account for
different types of light?
Answer: Reflecting telescopes focus light with a series of mirrors, while refracting telescopes use lenses.
Explanation:
Plants release oxygen into the air us what type of sphere
Answer:
Biosphere
Explanation:
Plants release the biosphere into the atmostphere. :)
A 0.55 kg football is kicked off the tee with a force of 18 newtons. If the football reaches a speed of 8.0 m/s, how long was that force applied?
The force was applied to the football for approximately 0.244 seconds.
To find the duration for which the force was applied to the football, we can use Newton's second law of motion, which states that the force acting on an object is equal to the product of its mass and acceleration.
The formula for force is:
F = m * a
where F is the force, m is the mass, and a is the acceleration.
In this case, the force applied to the football is 18 newtons, and the mass of the football is 0.55 kg.
Now, we need to find the acceleration of the football. We can use the formula for acceleration:
a = (v - u) / t
where v is the final velocity, u is the initial velocity, and t is the time.
Given:
Initial velocity (u) = 0 m/s (the football is initially at rest)
Final velocity (v) = 8.0 m/s
Substituting the given values into the equation for acceleration, we can solve for a:
a = (8.0 m/s - 0 m/s) / t
a = 8.0 m/s / t
Now, we can substitute the known values into Newton's second law to solve for time:
F = m * a
18 N = 0.55 kg * (8.0 m/s / t)
Simplifying the equation:
18 N = 4.4 m/s^2 / t
To isolate t, we can rearrange the equation:
t = 4.4 m/s^2 / 18 N
Calculating this expression, we find:
t ≈ 0.244 seconds
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Calculate the kinetic energy in j of an electron moving at 6.00 x 10^6.
The kinetic energy of the electron moving at 6.00 × 10^6 m/s is approximately 1.6347221 × 10^(-18) joules (J).
To calculate the kinetic energy of an electron moving at a given velocity, we can use the formula for kinetic energy:
KE = (1/2) * m * v^2
where:
KE is the kinetic energy,
m is the mass of the electron, and
v is the velocity of the electron.
The mass of an electron (m) is approximately 9.10938356 × 10^(-31) kilograms.
Given the velocity (v) as 6.00 × 10^6 meters per second, we can now calculate the kinetic energy:
KE = (1/2) * (9.10938356 × 10^(-31) kg) * (6.00 × 10^6 m/s)^2
KE = (1/2) * (9.10938356 × 10^(-31) kg) * (3.6 × 10^13 m^2/s^2)
KE ≈ 1.6347221 × 10^(-18) joules (J)
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can an elliptical galaxy evolve into a spiral? explain your answer. can a spiral turn into an elliptical? how?
Due to the fundamental differences between these two galaxy types, galaxies cannot evolve from elliptical to spiral (or spiral to elliptical).
It seems that spirals do create elliptical galaxies when they collide. Each one starts out as a spiral galaxy, and an elliptical galaxy is created when galaxies collide and combine.For example, in contrast to spiral galaxies, which include gas and dust as well as hot, bright O and B type stars, elliptical galaxies are devoid of visible gas and dust and hot, brilliant stars.
A galaxy with an elliptical shape and a uniform brightness distribution is called an elliptical galaxy (no spiral arms). Elliptical galaxies are stretched galaxies with an elliptical shape, according to astronomical physics. The light is distributed evenly and smoothly throughout this type of galaxy, which is typically composed of old stars.
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A farsighted person has a nearpoint of 60 cm from her eyes. She wants glasses that will let her see objects at a distance of only 25 cm from her eyes. Determine the focal length of the glasses needed if the glasses are 2 cm and 3 cm from her eyes. (Remember, a converging lens has a positive focal length and a diverging lens has a negative focal length.)
f2 cm = ? cm
2) f3 cm = ? cm
The glasses needed are again diverging lenses, with a focal length of 666.7 cm. The near point of a person is the closest distance from the eye at which an object can be seen clearly. For this farsighted person, the near point is 60 cm, which means that she has difficulty seeing objects that are closer than that.
To correct her vision, the person needs glasses that will create an image of nearby objects at a distance of 25 cm from her eyes. We can use the thin lens formula to find the focal length of the glasses needed:
1/f = 1/d_o + 1/d_i
where f is the focal length of the lens, d_o is the object distance (distance of the object from the lens), and d_i is the image distance (distance of the image from the lens). For a converging lens, the focal length is positive, and for a diverging lens, it is negative.
If the glasses are 2 cm from her eyes, the object distance is:
d_o = 60 cm - 2 cm = 58 cm
The image distance is:
d_i = -25 cm
since the image is formed on the same side as the object, and the image distance is negative for a virtual image. Therefore, we can solve for the focal length:
1/f = 1/d_o + 1/d_i
1/f = 1/58 cm - 1/25 cm
1/f = -0.0012 \(cm^{(-1)}\)
f = -833.3 cm
Since the focal length is negative, the glasses needed are diverging lenses, with a focal length of 833.3 cm.
If the glasses are 3 cm from her eyes, the object distance is:
d_o = 60 cm - 3 cm = 57 cm
The image distance is still:
d_i = -25 cm
We can again solve for the focal length:
1/f = 1/d_o + 1/d_i
1/f = 1/57 cm - 1/25 cm
1/f = -0.0015 \(cm^{(-1)}\)
f = -666.7 cm
Therefore, the glasses needed are again diverging lenses, with a focal length of 666.7 cm.
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A solid metal sphere of radius 3.50 m carries a total charge of -5.10 μC. Part B What is the magnitude of the electric field at a distance from the sphere's center of 3.45 m?
The magnitude of the electric field at a distance of 3.45 m from the sphere's center is 4.78 × 10^6 N/C.
Given, Radius of the sphere:
r = 3.50 cm
Total charge carried by the sphere:
q = -5.10 µC
We know that the electric field (E) at a distance (r) from the center of the sphere with total charge (q) is given as:
E = kq/r²
Where k is the Coulomb's constant which is 9 × 10^9 Nm²/C².
Substituting the given values in the above formula, We have:
E = (9 × 10^9)(-5.10 × 10^-6) / (3.50 × 10^-2)²
= -4.78 × 10^6 N/C
Therefore, the magnitude of the electric field at a distance of 3.45 m from the sphere's center is 4.78 × 10^6 N/C.
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how do you think the angle of the plate will affect how much sunlight hits the plate?
The angle of the plate will affect how much sunlight hits the plate. The amount of sunlight that hits a surface depends on the angle of incidence, which is the angle at which the sunlight hits the surface. When the angle of incidence is perpendicular to the surface (i.e., the sun is directly overhead), the maximum amount of sunlight is received by the surface.
However, as the angle of incidence increases, the amount of sunlight that hits the surface decreases because the same amount of sunlight is spread over a larger area. Therefore, if the plate is not angled properly to face the sun, it will receive less sunlight, which will affect its efficiency in converting sunlight into electricity.
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Which equipment is not required to play tennis? OA Aracquet OB. Tennis balls OC. Anet OD. Eye protection
According to the research, the correct answer is Option D. Eye protection is not an equipment required to play tennis.
What is tennis?It is a sport that is played, mainly, outdoors whose objective is to hit the ball so that it passes over the net that divides the field in half, trying to prevent the opponent from being able to return it.
In this sense, this sport is practiced with rackets and a small ball and can be practiced individually, that is, player against player or between pairs.
Therefore, we can conclude that according to the research, tennis is a sport that requires adequate physical coordination and is practiced with a racket and small tennis balls.
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a baseball pitcher throws a fastball at a speed of 37 m/s. the acceleration occurs as the pitcher holds the ball in his hand and moves it through an almost straight-line distance of 3.5 m. calculate the acceleration, assuming that it is constant and uniform.
The acceleration of the ball during the throwing motion is 5.28m/s².
Acceleration is defined as rate of change of velocity w.r.t time.
a = dv/dt
velocity is the rate of change of displacement with respect to time.
final velocity ,
v = 37m/s
initial velocity,
u = 0m/s
distance, s = 3.5m
acceleration = ?
equation of motion describes simple Concept of the motion make position, velocity, acceleration of an object.
Using the equation of motion
v² = u² + 2as
using above values we get
(37)² =(0)² + 2× a × 3.5
a = 37/7
a = 5.28m/s²
The acceleration of the ball during the throwing motion is 5.28m/s².
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Lava that cools quickly forms
Answer:
extrusive igneous rock
Explanation:
it is possible to use a simple machine and gain no mechanical advantage
Answer:
yes
Explanation:
A student climbs to the top of the gym and drops a baseball to the ground below. A physics student standing nearby has a motion sensor and determines that the baseball hit the ground with a velocity of 17 m/s. if you ignore air resistance, how long was the baseball falling through the air?
Answer:
The baseball was falling during 1.733 seconds.
Explanation:
The baseball experimented a free fall, which is a particular case of uniformly accelerated motion, in which object is accelerated by gravity. In this case, we need to determine the time spent by the ball before hitting the ground (\(t\)), measured in seconds, which is determined by the following kinematic formula:
\(t = \frac{v-v_{o}}{g}\) (1)
Where:
\(v_{o}\), \(v\) - Initial and final speeds of the baseball, measured in meters per second.
\(g\) - Gravitational acceleration, measured in meters per square second.
If we know that \(v_{o} = 0\,\frac{m}{s}\), \(v = 17\,\frac{m}{s}\) and \(g = 9.807\,\frac{m}{s^{2}}\), then the time spent by the baseball is:
\(t = \frac{17\,\frac{m}{s}-0\,\frac{m}{s} }{9.807\,\frac{m}{s^{2}} }\)
\(t = 1.733\,s\)
The baseball was falling during 1.733 seconds.
a racing car accelerates uniformly from rest along a straight track. this track has markers spaced at equal distances along it from the start, as shown in the figure. the car reaches a speed of 140 km/h as it passes marker 2. where on the track was the car when it was traveling at 70 km/h?
The car was at a distance of one marker when it was traveling at 70 km/h. This means it was at marker 1.
A racing car accelerates uniformly from rest, which means its initial velocity (v0) is 0 km/h. It reaches a speed of 140 km/h (v1) as it passes marker 2. We want to find the position of the car when it was traveling at 70 km/h (v2).
Since the acceleration is uniform, the ratio of the velocities will be equal to the ratio of the distances covered. Therefore, we can write:
v2 / v1 = distance to reach 70 km/h (d2) / distance to reach 140 km/h (d1)
Now, let's plug in the given velocities:
70 km/h / 140 km/h = d2 / d1
0.5 = d2 / d1
Since the markers are spaced at equal distances, let's assume the distance between each marker is x. Then, the distance to reach 140 km/h (d1) is 2x (from the start to marker 2). Now we can find d2:
0.5 = d2 / (2x)
d2 = x
So, the car was at a distance of one marker when it was traveling at 70 km/h. This means it was at marker 1.
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A plant expansion is planned for City of Beaumont. The new design flow rate is 1.2 m³/s. A deep bed monomedia filter with a design loading rate of 575 m³/d. m² of filter is to be used. If each filter box is limited to 50 m² of surface area, how many filter boxes will be required? Check the design loading with one filter box out of service. Propose an alternative design if the design loading rate is exceeded with one filter box out of service.
One filter box will be required for the plant expansion, but an alternative design needs to be proposed if the design loading rate is exceeded with one filter box out of service.
To determine the number of filter boxes required, we need to calculate the total surface area required and divide it by the maximum surface area per filter box.
Calculate the total surface area required:
Total surface area = Design flow rate / Design loading rate
Total surface area = 1.2 m³/s × 24 × 3600 s / (575 m³/d × 1 d/24h)
Total surface area = 18.67 m²
Determine the number of filter boxes required:
Number of filter boxes = Total surface area / Maximum surface area per filter box
Number of filter boxes = 18.67 m² / 50 m²
Number of filter boxes = 0.37 (round up to the nearest whole number)
Number of filter boxes = 1 (since we cannot have a fraction of a filter box)
Therefore, one filter box will be required to meet the design loading rate.
To check the design loading with one filter box out of service, we need to recalculate the loading rate:
Calculate the new design loading rate:
New design loading rate = Design flow rate / (Number of filter boxes - 1)
New design loading rate = 1.2 m³/s / (1 - 1)
New design loading rate = Undefined
Since the new design loading rate is undefined when one filter box is out of service, an alternative design should be proposed to ensure that the design loading rate is not exceeded. This could involve increasing the number of filter boxes or redesigning the filtration system to accommodate the required flow rate.
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A concave mirror of radius of curvature 40 cm is to be used to obtain a real image of an object. The image is to be one- third as large as the object. Where should the object be placed, and where is the image to be found?
Answer:
u = 80 cm and v = 80/3 cm
Explanation:
focal length f = +40/2 = 20 cm.
magnification m = v/u = 1/3, thus v = u/3
using 1/u+1/v=1/f gives 1/u=1/(u/3)=20
So u = 80 cm and v = 80/3 cm
A book sitting on a desk with the surface area of the cover of .05 m^2. The atmospheric pressure is 100kPa. What is the downward force of the atmosphere on the book?
Answer:Force=500
Explanation:
Because it say "the downward force of atmosphere" we use ATP
ATP=100kpa
area=0.05m2
F=ATP × area
100,000pa×0.05m2 =5000N
You want to lift a heavy box with a mass L = 64.0 kg using the two-ideal pulley system as shown. With what minimum force do you have to pull down on the rope in order to lift the box at a constant velocity? One pulley is attached to the ceiling and one to the box.
The given problem can be solved using the following free-body diagram:
The diagram is the free-body diagram for the pulley that is holding the weight. Where:
\(\begin{gathered} T=\text{ tension} \\ m=\text{ mass} \\ g=\text{ acceleration of gravity} \end{gathered}\)Now we add the forces in the vertical direction:
\(\Sigma F_v=T+T-mg\)Adding like terms:
\(\Sigma F_v=2T-mg\)Now, since the velocity is constant this means that the acceleration is zero and therefore the sum of forces is zero:
\(2T-mg=0\)Now we solve for "T" by adding "mg" from both sides:
\(2T=mg\)Now we divide both sides by 2:
\(T=\frac{mg}{2}\)Now we substitute the values and we get:
\(T=\frac{(64\operatorname{kg})(9.8\frac{m}{s^2})}{2}\)Solving the operations:
\(T=313.6N\)Now we use the free body diagram for the second pulley:
Now we add the forces in the vertical direction:
\(\Sigma F_v=T-F\)The forces add up to zero because the velocity is constant and the acceleration is zero:
\(T-F=0\)Solving for the force:
\(T=F\)Therefore, the pulling force is equal to the tension we determined previously and therefore is:
\(F=313.6N\)
A plate has an area of 1m square. It slide down an incline plane , having an angle of inclined 60° to horizontal, which a velocity of 0.75m/s. The thickness of oil film between the plate and the plate is 2mm. Find the viscosity of the fluid if the weight of the plate is 90N
Answer:
\(\mu =0.169704 Ns/m^2\)
Explanation:
From the question we are told that
Area of plate\(a=1m^2\)
Angle of inclination \(\theta=60 \textdegree\)
Velocity \(v=0.75m/s\)
Thickness of oil \(t=2mm\)
Weight of plate \(w=90N\)
Generally the equation for shear force is mathematically given by
\(F=mgsin45 \textdegree\)
\(F=90sin45 \textdegree\)
\(F=63.639N\)
\(F=\mu* \frac{v}{t}\)
\(F=\mu* \frac{0.75}{2*10^-^3}\)
\(\mu* \frac{0.75}{2*10^-^3}=63.639N\)
\(\mu =\frac{63.639}{375}\)
Therefore viscosity is given by
\(\mu =0.169704 Ns/m^2\)
Metal bar 1
Metal bar 2
Ray has two metal bars. He knows Metal bar 1 is a magnet.
How could he use Metal bar 1 to find out if Metal bar 2 is a magnet?
What would he observe if Metal bar 2 is a magnet?
Ray could use Metal bar 1 to find out if Metal bar 2 is a magnet by bringing them close to each other. If Metal bar 2 is a magnet, it will be attracted to Metal bar 1.
Ray can also try to move Metal bar 1 along the length of Metal bar 2. If Metal bar 2 is a magnet, it will induce a magnetic field in Metal bar 1, causing it to experience a force as it moves. Alternatively, when Ray moves Metal bar 1 along the length of Metal bar 2, he would observe a force acting on Metal bar 1 as it moves. This is because the magnetic field produced by Metal bar 2.
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HELPP ITS DUE IN 5 MINUTES FREE BODY DIAGRAMS
Answer:
I think it's part c . but sorry if its wrong
A car of mass 1200kg moving 90km/hr is brought to rest over a distance of 20m. calculate breaking force.
Answer:
-18,750N
Explanation:
90x1000
-------------
3600
u=25m/s
v=0m/s
v^2=u^2+2as
v=0
=625+(2×a×20)
625+40a
-625=40a
a= -15.625 m/s^2
F=ma
=(1200)(-15.625)
= -18,750N
Directions. Read and understand each item carefully. Write your answers on the space provided.
1. Create a graphic representation based on the following data tabulated on Table 2 and make an interpretation of
the graph. Make sure to coordinate points correctly and trace line to show motion of the object.
Table 2. The distance travelled by a car in a given time.
(Dudes I need this today, pls answer this correctly)
Answer:
Please find attached the required graph of the data points
The graph can be interpreted as showing that which was at rest starts moving at a constant speed of 2 km/min
Explanation:
The table is presented as follows;
\(\begin{array}{lcl}Time \ (min)&& Distance \ (km)\\0&&0\\5&&10\\10&&20\\15&&30\\20&&40\\25&&50\\30&&60\end{array}\)
The graphic representation of the above data can be created by plotting the Time on the x-axis and the Distance on the y-axis on a graph paper
The graph of the data can be created also using a spreadsheet application such as MS Excel by using the Chart function under the Insert menu, after selecting the points input into cells on the spreadsheet as shown in the attached drawing
The distance travelled by the car in a given time is found by obtaining the rate of change of the values of the graph, m, as follows;
\(m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
Where (y₁, x₁), and (x₂, y₂) are a pair of chosen points on the given line
When, the chosen points are (y₁, x₁) = (0, 0), and (x₂, y₂) = (30, 60), we get;
\(m =\dfrac{60 \, km-0 \, km}{30 \, min-0 \, min} = 2 \, km/min\)
The graph can be interpreted as showing that the rate of change of the distance travelled by the car per unit time which is the speed of the car starting from rest is 2 km/min
You do 425 J of work to push a 75 N box up a ramp until the box is 2.5 m above the ground. What is the efficiency of the ramp?
Answer 323mmmm
Explanation:
the plates of a parallel-plate capacitor are connected to a battery. if the distance between the plates is halved, the energy of the capacitora. a. Increases by a factor of 4b. Doublesc. Remains the samed. Is halvede. Decreases by a factor of 4
Cantilever beam capacitance at time t, expressed as C= U's rate of change is therefore inversely proportional to x 2.
What are capacitance and its measure?Date Updated: 27 June 2022. (00 : 00) Solution: A capacitor's capacitance is determined by dividing the amount of charge on either of its conductor plates by the potential difference between its conductors.
QpropV or C=(Q)/(V). The coulomb per volt and farad is the SI unit for capacitance (F).
The formula for capacitors is what?The fundamental equation for capacitors is charge (= capacitance x voltage, or Q = C x V. We gauge capacitance by series or in parallel, which is the capacity that holds one coulomb (specified as the charge delivered by one ampere inside one minute) of charge per one farad.
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Felipe drives his car at a velocity of 28 m/s. He applies the brake, which slows the vehicle down at a rate of 6.4 m/s2 and causes it to slow to a stop. How long does it take for the car to stop? Round your answer to the nearest tenth.
Answer:
4.4 seconds
Explanation:
use the equation
v(final)=v(initial)+a(t)
what we know:
v(initial)=28mps
v(final)=0 because it comes to a stop
a= -6.4 it is negative because the 6.4 is resisting forward motion
using these you get
0= 28 + (-6.4)t
6.4(t)=28
t=4.375 sec
and with rounding
t=4.4 sec
Answer:
4.4
Explanation:
i got it correct
A physical quantity X is connected from X = ab2/C. Calculate percentage error in X, when percentage error in a,b,c are 4,2 and 3 respectively.
Answer: 11%
Explanation:
Given that
X = ab^2/C. Calculate percentage error in X, when percentage error in a,b,c are 4,2 and 3 respectively.
Percentage error of b = 2%
Percentage error of b^2 = 2 × 2 = 4
When you are calculating for percentage error that involves multiplication and division, you will always add up the percentage error values.
Percentage error of X will be;
Percentage error of a + percentage error of b^2 + percentage error of c
Substitute for all these values
4 + 4 + 3 = 11%
Therefore, percentage error of X is 11%
calculate the pressure, in pounds per square inch, exerted on the floor by the heel if it has an area of 1.7 cm2 and the woman’s mass is 56 kg.
The answer is 467.311 pounds per square inch.
What is the relationship between pressure and area?
Force divided by area equals pressure. The equation demonstrates that whereas area and pressure are inversely related, respectively, to force. Pressure grows at a constant area as the size of the force exerted grows as well. The greater the pressure applied for a given amount of force, the smaller the area of contact.
\(P = \frac{F}{A} = \frac{mg}{A} = \frac{56 * 9.8}{1.7 *10^{-4} } = 32.282 * 10^{5} Pa\)
Hence, the answer is 467.311 pounds per square inch.
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N in-ground swimming pool has the dimensions shown in the drawing. It is filled with water to a uniform depth of 3.00 m. The density of water = 1.00 × 103 kg/m3. What is the total pressure exerted on the bottom of the swimming pool? 1.97 × 105 Pa 2.49 × 105 Pa 2.94 × 104 Pa 1.80 × 105 Pa 1.31 × 105 Pa
Answer:
The pressure is \(P = 1.31*10^{5} \ Pa\)
Explanation:
From the question we are told that
The depth of the swimming pool is \(d = 3.00 \ m\)
The density of water is \(\rho = 1.00*10^{3} \ kg /m^3\)
Generally the total pressure exerted on the bottom of the swimming pool is mathematically represented as
\(P = P_o + \rho * g * h\)
Here \(P_o\) is the atmospheric pressure with value
\(P_o = 101325 \ Pa\)
So
\(P = 101325 + [1000 * 9.8 * 3]\)
=> \(P = 130725 \ Pa\)
=> \(P = 1.31*10^{5} \ Pa\)
Which situation results in no work being done?
O lifting an object off the ground
O throwing a baseball to your friend
O carrying a book at a constant velocity
O pushing a car that will not start out of the garage
Answer:
C
Explanation:
C should be the right answer