Answer:
Explanation:
Calculate the volume of the lead
\(V=\frac{m}{d}\\\\=\frac{10g}{11.3g'cm^3}\)
Now calculate the bouyant force acting on the lead
\(F_L = Vpg\)
\(F_L=(\frac{10g}{11.3g/cm^3} )(1g/cm^3)(9.8m/s^2)\\\\=8.673\times 10^{-3}N\)
This force will act in upward direction
Gravitational force on the lead due to its mass will act in downward direction
Hence the difference of this two force
\(T=mg-F_L\\\\=(10\times10^{-3}kg(9.8m/s^2)-8.673\times 10^{-3}\\\\=8.933\times10^{-3}N\)
If V is the volume submerged in the water then bouyant force on the bobber is
\(F_B=V'pg\)
Equate bouyant force with the tension and gravitational force
\(F_B=T_mg\\\\V'pg=\frac{(8.933\times10^{-2}N)+mg}{pg} \\\\V'=\frac{(8.933\times10^{-2}N)+mg}{pg}\)
Now Total volume of bobble is
\(\frac{V'}{V^B} =\frac{\frac{(8.933\times10^{-2})+Mg}{pg} }{\frac{4}{3} \pi R^3 }\times100\\\\=\frac{\frac{(8.933\times10^{-2})+(3)(9.8)}{(1000)(9.8)} }{\frac{4}{3} \pi (4.0\times10^{-2})^3 }\times100\\\\\)
=\(\large\boxed{4.52 \%}\)
What are the similarities and differences between these data sets in terms of their centers and their variability?
Data Set A: 12, 15, 18, 18, 22, 29
Data Set B: 13, 17, 17, 19, 20, 34
Select from the drop-down menus to correctly complete the statements.
Comparing the centers of the data sets, the median for Data Set A is Choose...
Choose.
Set A is Choose... the mean for Data Set B.
less than
equal to
greater than
the median for Data Set B. The mean for Data
4
The diagram shows a charge moving into an electric field. Two horizontal parallel plates have equally spaced vectors going from the bottom plate to the top plate. A negatively charged sphere labeled Z in traveling horizontally in between the plates. A vector is pointing right. The top plate is labeled W. There is an X at the far end of the top plate and a Y at the far end of the bottom plate. The charge will most likely leave the electric field near which letter? W X Y Z
The negatively charged sphere Z is most likely to leave the electric field near the center of plates, which is closest to letter Y.
What is an electric field?Physical field that surrounds electrically charged particles and exerts force on all the other charged particles in the field is called an electric field.
Negatively charged sphere labeled Z will experience a force due to electric field created by parallel plates. Since the vector is pointing right, we can assume that electric field is also pointing right.
Electric field lines are perpendicular to plates and are equally spaced. Therefore, electric field is uniform in magnitude and direction between the plates.
As the negatively charged sphere Z travels horizontally between plates, it will experience force in the direction opposite to electric field due to its negative charge. This force will cause sphere to slow down and stop.
Since the electric field lines are equally spaced between the plates, electric field will be strongest at the edges of plates and weakest in the center. Therefore, negatively charged sphere Z is most likely to leave the electric field near the center of plates, which is closest to letter Y.
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if a thermometer indicates a temperature of 86F what's the equivalent temperature in Celsius scale
The equivalent temperature in Celsius scale is (86°F − 32) × 5/9 = 30°C
Take the °F temperature and subtract 32
Multiply this number by 5.
Divide this number by 9 to obtain your answer in °C.
The formula to convert °F to °C is:
T(°C) = (T(°F) - 32) × 5/9
converting 86 degrees Fahrenheit into degrees Celsius:
T(°C) = (86°F - 32) × 5/9
T(°C) = 30 °C
(86°F − 32) × 5/9 = 30°C
When doing the temperature conversion, one quick way to make certain you did the conversion right is to remember Fahrenheit temperatures are higher than the corresponding Celsius scale until you get down to -40°, which is where the Celsius and Fahrenheit scales meet. Below this temperature, degrees Fahrenheit are lower than degrees Celsius.
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How does the orientation of the bar magnet affect the measured magnetic field strength?
When two magnets are close to each other, the magnets experience a repulsive or attractive force. The magnetic field strength is affected by the orientation of the magnet.
The direction in which the bar magnet obtains its maximum magnetic property is called the orientation of the magnet. The magnetic field strength depends on the orientation of the magnet.
The magnetic field lines emerge from the north pole and end in the south pole. When the two bar magnets of opposite poles face each other, an attractive force will be produced and magnetic field strength increases.
When the bar magnet of the same poles faces each other, repulsive force will produce and magnetic field strength decreases. Hence from the orientation of the bar magnet, the magnetic field strength gets affected.
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PLEASE HELP IM HEING TIMED
Answer:
Uh, I could be wrong but doesn’t it mean that the wave and particle are reacting together to make light? I think it’s something like that... I hope this helps!
Help my brain ain’t braining
The arrows are drawn in the figure which shows gravitational forces on each person on earth.
Gravitational force is force of attraction between two masses. Gravitational force(F) between two bodies is directly proportion to the product of masses(m₁,m₂) of two bodies and inversely proportional to square of distance(r) between them. mathematically it is written as,
F∝ m₁.m₂
F ∝ 1/r²
F = G m₁,m₂÷r²
where G is gravitational constant, whose value is 6.6743 × 10⁻¹¹ m³ kg-1s⁻².
Force is expressed in Newton N in SI unit. its dimensions are [M¹L¹T⁻²].
This is analogous with coulomb's law which gives force between two charges.
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What is the average SPEED/VELOCITY of a car that traveled 1 complete lap around an oval track that’s 5000m long in 1000s
Answer:
5 m/s
Explanation:
5000/1000=5 m/s
:))
Demario's biology class has a quiz every other Friday. This is the third time Demario has been so worried about other personal matters that he hasn’t done quite as well on the quizzes as he might have otherwise. What has Demario upset is the fact that the professor leaves the room while the students take the quiz, and over half the class is taking the opportunity to cheat. Demario knows personally several of the other students in the class, and some of the ones Demario hangout with are among those who are cheating. Demario knows that a failure to speak to the professor about the cheating will result in his own grade being lower, since the school grades on the curve system. But if Demario does say something to the professor he will be doing his friends and the others a great harm, since cheating is taken very seriously at the school and can lead to expulsion. If Demario doesn’t “turn in” the classmates, the only other alternative is he will get a worse grade than he deserves. He will also be labled as a snitch among is peers and a cheater at the school, either of which Demario has never done. Further, if the professor somehow discovers that Demario is hiding the cheating of others, Demario will be considered an accessory to the cheating, and may be reprimanded for not turning others in, since the school operates on an honor system.
Critical thinking About Ethics Right vs Wrong
What should Demario do?
Should Demario cheat?
Should Demario turn in the cheating classmates?
Should Demario say nothing and not cheat himself?
Be specific in your answer about exactly what Demario should do. (Remember to use one of the three moral theories to solve this dilemma.)
1. It is unethical for Demario to cheat
2. Demario should not engage in cheating himself
3. Demario should not turn in cheating classmates without careful consideration
4. Reporting classmates may harm relationships, create animosity, and potentially lead to severe disciplinary actions.
What is ethics?A virtue ethics perspective may also be useful in this circumstance. Demario should make an effort to respect moral principles like honesty, fairness, and integrity while taking the potential repercussions into account and exhibiting empathy for his fellow students.
By employing this strategy, Demario behaves responsibly, deals with the problem subtly, encourages fairness in the educational setting, and upholds his or her own moral standards.
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The separation distance in B is_____ times greater than in A, the force of attraction is
than A.
The separation distance in B is a number times greater than in A, then the force of attraction in B is less than A.
What is the force of attraction between two object?
The force of attraction between two charged object is determined by applying Coulomb's law.
Coulomb's law states that the force of attraction or repulsion between two charged objects is directly proportional to the product of the charges and inversely proportional to the square of the distance between the charges.
Mathematically, this law is written as;
F = Kq₁q₂/r²
where;
k is Coulomb's constantFrom the formula given above, as the distance of separation increases, the magnitude of the force of attraction between the charges decreases. Also, as the distance of separation between the charges decreases, the magnitude of the force of attraction between the charges increases.
Thus, the magnitude of the force of attraction between charged objects is a function of the magnitude of the charges and distance of separation between the charges.
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What color is iodine solid and its gas?
SHOW WORK.
What is the acceleration of the object
whose motion is described by the graph
above?
-0.0 m/s^2
-9.0 m/s^2
-4.5 m/s^2
-4.0 m/s^2
Acceleration is the rate of change of velocity, so if velocity is linear, the acceleration is the slope of its graph.
Here, the line passes through the points (0, 1) and (0.5, 3), so its slope is
(3 m/s - 1 m/s) / (0.5 s - 0 s) = (2 m/s) / (0.5 s) = 4 m/s²
A jet, sitting on the runway, takes off and accelerates at 8.0 m/s for 16s. How far did the jet travel down the runway?
Answer:
2.4 m/s". 1
Explanation:
A jet with mass m = 8 x 10* kg jet accelerates down the runway for takeoff at 2.4 m/s". 1
What Factor Determine the accuracy an Precision the result
Answer:
The accuracy and precision of a result depend on several factors, including:
1. Quality of the measurement tools - Using high-quality measurement instruments can lead to more accurate and precise results.
2. Calibration of instruments - Instruments should be calibrated regularly to ensure accurate and precise readings.
3. Skill of the person performing the measurement - The person performing the measurements must have proper training and knowledge of the tool they're using.
4. Sample size - Increasing the sample size can lead to more accurate results.
5. Sampling bias - If the sample used for the measurement is biased, it can lead to inaccurate or imprecise results.
6. Experimental design - Proper experimental design can help reduce measurement errors and increase accuracy.
The work-energy theorem states that the change in the kinetic energy of an object is equal to what?
The work-energy theorem states that the change in the kinetic energy of an object will be equal to the net work done on the object.
Mathematically, it can be expressed as;
ΔKE = W
Where; ΔKE represents the change in kinetic energy of the object,
W represents the net work done on the object.
This theorem states that when work is done on an object, it results in a change in its kinetic energy. If work is done on an object, its kinetic energy increases, and if work is done by an object, its kinetic energy decreases.
This theorem is a fundamental principle in physics that relates the concepts of work and energy, and it is often used to analyze the motion and behavior of objects in various physical systems.
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Public television station KQED in San Francisco broadcasts a sinusoidal radio signal at a power of 777 kW. Assume that the wave spreads out uniformly into a hemisphere above the ground. At a home 5.00 km away from the antenna,
(a) what average pressure does this wave exert on a totally reflecting surface,
(b) what are the amplitudes of the electric and magnetic fields of the wave, and
(c) what is the average density of the energy this wave carries?
(d) For the energy density in part (c), what percentage is due to the electric field and what percentage is due to the magnetic field?
Answer:
A) P = 3.3 × 10^(-11) Pa
B) Amplitude of electric field = 1.931 N/C
Amplitude of magnetic field = 6.44 × 10^(-9) T
C) μ_av = 1.65 × 10^(-11) J/m³
D) 50% each for the electric and magnetic field
Explanation:
A) First of all let's calculate intensity.
I = P_av/A
We are given;
P_av = 777 KW = 777,000 W
Distance = 5 km = 5000 m
Thus;
I = 777000/(2π × 5000²)
I = 0.00495 W/m²
Now, the average pressure would be given by the formula;
P = 2I/C
Where C is speed of light = 3 × 10^(8) m/s
P = (2 × 0.00495)/(3 × 10^(8))
P = 3.3 × 10^(-11) Pa
B) Formula for the amplitude of the electric field is gotten from;
E_max = √[2I/(εo•c)].
Where εo is the Permittivity of free space with a constant value of 8.85 × 10^(−12) c²/N.mm²
I and c remain as before.
Thus;
E_max = √[(2 × 0.00495)/(8.85 × 10^(−12) × 3 × 10^(8))]
E_max = √3.72881355932
E_max = 1.931 N/C
Formula for amplitude of magnetic field is gotten from;
B_max = E_max/c
B_max = 1.931/(3 × 10^(8))
B_max = 6.44 × 10^(-9) T
C) Formula for average density is;
μ_av = εo(E_rms)²
Now, E_rms = E_max/√2
Thus;
E_rms = 1.931/√2
μ_av = 8.85 × 10^(−12) × (1.931/√2)²
μ_av = 1.65 × 10^(-11) J/m³
D) The energy density for the electric and magnetic field is the same. So both of them will have 50% of the energy density.
A car moves round a circular track of radius 0.3m of two revolution per/sec find its angular velocity.
Answer:
the angular velocity of the car is 12.568 rad/s.
Explanation:
Given;
radius of the circular track, r = 0.3 m
number of revolutions per second made by the car, ω = 2 rev/s
The angular velocity of the car in radian per second is calculated as;
From the given data, we convert the angular velocity in revolution per second to radian per second.
\(\omega = 2 \ \frac{rev}{s} \times \frac{2\pi \ rad}{1 \ rev} = 4\pi \ rad/s = 12.568 \ rad/s\)
Therefore, the angular velocity of the car is 12.568 rad/s.
An electric pump pulls water at a rate of 0.23 m^3/s from a well that is 23m deep. The water leaves the pump at a speed of 7.29m/s. What power in kilowatts is needed to lift the water to the surface?
The power required to lift the water to the surface at a rate of 0.23 m³/s and at a height of 23m deep is 52.9 kW.
Power is obtained from the ratio of work and time and the power is measured in watts (W). P = W/t where W is the work done by the system and t is the time taken to do work.
From the given,
rate of electric pump = 0.23 m³/s
depth of the well = 23m
density of water = 1000 kg/m³
work done=?
work done (w)= m×g×h, where m is the mass of water, g is the acceleration due to gravity and is equal to 10 m/s², and h is the height.
Density = mass/volume
mass = density ×volume
= 10³ × 0.23
Work done= 0.23×10³×10×23
= 52.9 ×10³ W
work done on the pump is 52.9 KJ
Power = work done / time (time = 1sec)
= 52.9 × 10³ J/ 1 sec
= 52.9 kW
Hence, the power to lift the water to the surface is 52.9 kW.
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A highway curves to the left with radius of
curvature of 36 m and is banked at 25 ◦
so
that cars can take this curve at higher speeds.
Consider a car of mass 1091 kg whose tires
have a static friction coefficient 0.87 against
the pavement.
How fast can the car take this curve without
skidding to the outside of the curve? The
acceleration of gravity is 9.8 m/s^2.
Answer in units of m/s.
The car can take this curve at a speed of 18.8 m/s without skidding to the outside of the curve
How do we calculate the speed to which the car can move?The maximum speed at which a car can take a curved road without skidding outward is given by the formula:
v = √(g * r * (cos(theta) + (mu * sin(theta))/mu_s))
where:
v = velocity of the car
g = acceleration due to gravity (9.8 m/s^2)
r = radius of curvature of the road (36 m)
theta = angle of banking of the road (25 degrees)
mu = coefficient of friction between the tires and the road (0.87)
mu_s = coefficient of static friction between the tires and the road (0.87)
So the maximum speed at which the car can take this curve without skidding is:
v = √(9.8 * 36 * (cos(25) + (0.87 * sin(25))/0.87))
v = √(9.8 * 36 * (0.9063 + 0.4696))
v = √(9.8 * 36 * 1.376)
v = √(352.48)
v = 18.8 m/s
Therefore, the car can take this curve at a speed of 18.8 m/s without skidding to the outside of the curve.
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PLEASE HELP ME I DONT UNDERSTAND THIS AND THIS IS TIMED
In an experiment, a rubber stopper is attached to one end of a string. The stopper is whirled in a horizontal circular path of a diameter of 1.0 meter at a constant speed. The stopper completes one revolution in 0.2 seconds. Approximately what is the magnitude of the stoppers speed?
A) 3.1 m/s
B) 6.3 m/s
C) 16 m/s
D) 31 m/s
(C)
Explanation:
The circle has a radius r = 0.5 m, which means that its circumference C is
\(C = 2\pi r = 2\pi(0.5\:\text{m}) = 3.14\:\text{m}\)
One revolution means that the stopper travels a distance equal to the circumference of the circle so the velocity of the stopper is
\(v = \dfrac{C}{t} =\dfrac{3.14\:\text{m}}{0.2\:\text{s}} = 15.7\:\text{m/s} \approx 16\:\text{m/s}\)
If you weigh 40kg and are standing still on a skateboard and throw a 1kg ball to the left (negative velocity) at a velocity of -20m/s, what will be your velocity after you throw it?
From the law of conservation of momentum, your velocity after you throw it will be 0.5 m/s
What is Momentum ?Momentum is the product of mass and velocity. It is measured in Kgm/s
If you weigh 40kg and are standing still on a skateboard and throw a 1kg ball to the left (negative velocity) at a velocity of -20m/s, From the law of conservation of momentum, your velocity after you throw it can be calculated.
MV = mv
where
M = 40 Kgm = 1 kgv = 20 kgV = ?Substitute all the parameters into the formula
40V = 1 × 20
V = 20/40
V = 0.5 m/s
Therefore, your velocity after you throw it will be 0.5 m/s
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A fluid, density ρ=960 kg/m3 is flowing steadily through the below tube. The section diameters are d1=10 cm and d2=8 cm. The gauge pressure at 1 is P1=200kN/m2 The velocity at 1 is u1=5 m/s. The tube is horizontal (z1=z2). What is the gauge pressure at section 2?
Answer:
211,520 N/m^2
Explanation:
To calculate the gauge pressure at section 2, we can apply Bernoulli's equation, which states that the total energy of a fluid in a horizontal flow remains constant. Bernoulli's equation is expressed as:
P1 + 0.5 * ρ * u1^2 + ρ * g * z1 = P2 + 0.5 * ρ * u2^2 + ρ * g * z2
Given the information provided:
P1 = 200 kN/m^2
u1 = 5 m/s
d1 = 10 cm = 0.1 m (converted to meters)
d2 = 8 cm = 0.08 m (converted to meters)
z1 = z2 (since the tube is horizontal)
ρ = 960 kg/m^3 (density of the fluid)
We can calculate the velocity at section 2 (u2) using the continuity equation, which states that the mass flow rate is constant in an incompressible fluid:
A1 * u1 = A2 * u2
A1 = (π/4) * d1^2 (area at section 1)
A2 = (π/4) * d2^2 (area at section 2)
Substituting the values and solving for u2:
(π/4) * d1^2 * u1 = (π/4) * d2^2 * u2
(0.785) * (0.1)^2 * 5 = (0.785) * (0.08)^2 * u2
0.03925 = 0.03925 * u2
u2 = 1 m/s
Now we can substitute all the known values into Bernoulli's equation:
200 kN/m^2 + 0.5 * 960 kg/m^3 * (5 m/s)^2 = P2 + 0.5 * 960 kg/m^3 * (1 m/s)^2
Simplifying the equation:
200000 N/m^2 + 0.5 * 960 kg/m^3 * 25 m^2/s^2 = P2 + 0.5 * 960 kg/m^3 * 1 m^2/s^2
200000 N/m^2 + 12000 N/m^2 = P2 + 480 N/m^2
212000 N/m^2 = P2 + 480 N/m^2
P2 = 211520 N/m^2
Therefore, the gauge pressure at section 2 is 211,520 N/m^2.
Apply newton’s 2nd law in each direction for 1) m12) m2
ANSWER:
STEP-BY-STEP EXPLANATION:
1)
For the case of m1, the force scheme would be like this:
We do the summation of force in each direction:
\(undefined\)
3. An object released from rest at time t = 0 slides down a frictionless incline a
distance of 1 m during the first second. The distance traveled by the object
during the time interval from t = 2 s to t = 3 s is:
(A) 1 m
(B) 2 m (C) 3 m
(D) 4 m (E) 5 m
The distance traveled by the object during the time interval from t = 2 s to t = 3s is 3m. Option C.
From the formula d = ½ at2 the displacement is proportional to the square of time. If you run twice as far from the rest, the displacement will quadruple (or 4m). Since the object has already moved 1 m in the first second, the remaining 3 m have moved in time intervals from 1 to 2 seconds.
This means that the velocity and net force in the direction normal to the plane must be zero. Assuming the plane is frictionless means that the plane exerts no force on the block parallel to the surface. For angular frictionless tilt, the acceleration is the result of the gravitational acceleration multiplied by the sine of the angle.
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What type of tv uses a VfL for backlighting
A VfL (Vertical Field LED) backlighting system is commonly used in LCD (Liquid Crystal Display) televisions.
LCD TVs rely on a backlight to illuminate the liquid crystal layer, which controls the passage of light to create the visual image. The VfL technology is a specific type of LED backlighting arrangement used in certain LCD TV models. In a VfL backlighting system, the LEDs (Light-Emitting Diodes) are positioned vertically along the edges of the LCD panel.
The light emitted by these LEDs is directed across the panel using light guides or optical films, illuminating the liquid crystal layer uniformly. One advantage of VfL backlighting is its ability to provide consistent illumination across the LCD panel, reducing any potential inconsistencies in brightness or color uniformity. The vertical orientation of the LEDs allows for more precise control over light distribution, improving overall image quality.
Additionally, VfL backlighting offers potential advantages in terms of power efficiency. By selectively dimming or turning off specific zones of LEDs, local dimming techniques can be employed to enhance contrast and black levels, resulting in improved picture quality while conserving energy. It's important to note that VfL backlighting is just one of several backlighting technologies available for LCD TVs.
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03: Hook's law suggests that F is directly proportional to -x, how much true you have found this statement in your experiment? Explain any differences.
Hooke's Law can be given as follows sometimes:
The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:
F = -kx
Where, F = Restoring force of a spring (Newtons, N)
k = Spring constant (N/m)
x = Displacement of the spring (m)
The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.
Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.
The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.
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What angle would you use for the greatest distance when the projectile leaves at zero height above ground g
Answer: 45 degree
Explanation:
Since Range = Ucosø × T
Where T = total time.
Range = distance covered
T = 2usinø/ 2g
If you substitute T into the range formula, you will get
R = (Ucosø×2Usinø) / 2g
But in trigonometry, 2sinøcosø = sin2ø
Substitute it into the formula
R = Usin2ø/ 2g
If ø = 45 degree
R = Usin(2 × 45)/2g
R = Usin90 / 2g
But sin 90 = 1
Therefore,
Range R = U/2g
Therefore, 45 degree angle would be use for the greatest distance when the projectile leaves at zero height above ground.
Answer:
∴ the angle for greatest distance is 90°, where Vy = 0
Explanation:
maximum height of a projected object is highest vertical position of the trajectory object which depends on the initial velocity
formula for maximum height
H= u² sin²θ/2g
if θ = 90°, then sin²90° = 1
∴ the angle for greatest distance is 90°, where Vy = 0
for horizontal distance,
the range of a projectile is the horizontal distance.
R = u² sin2θ/g
if θ = 45°, then 2θ = 90°
∴sin 90°= 1
A liquid has a volume of 100 cm and a mass of 85g.
The density of water is 1.0g/cm?
How does the density of the liquid compare with the density of water?
A
Its density is higher than that of water.
Its density is lower than that of water.
B
с
Its density is the same as that of water.
D
It is impossible to say with only this data.
А
B
ОО
С
D
Answer:
less dense than water
Explanation:
85 g / 100cm^3 = .85 gm/cm^3
density of water = 1 gm/cm^3 <===so the liquid is less dense than water
A car is parked along a level road
Answer:
okay did you park it LOL
Explanation:
What shape is the graph produced by a force vs acceleration graph?
A. Linear
B. Quadratic
C. Circular
D. Triangular
The answer to the question What shape is the graph produced by a force vs acceleration graph is A. Linear
Since Force, F = ma where m = mass and a = acceleration. For constant mass, F ∝ a. That is, F is directly proportional to acceleration, a.
Since this is a linear relationship, the graph of force vs acceleration will be linear.
The answer to the question What shape is the graph produced by a force vs acceleration graph is A. Linear
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In the diagram, R₁ = 40.0 , R2= 25.4 , and R3 = 70.8 . What is the equivalent resistance of the group?
According to the diagram the equivalent resistance of the group is
40.05 ohms
How to find the equivalent resistanceThe equivalent resistance is calculated by investigating the diagram to note that R2 and R3 are in parallel and both are in series to R1
Resistors in parallel is solved by
Resistors in parallel = 1/25.4 + 1/70.8
Resistors in parallel = 0.0535 ohms
Equivalent resistance
Equivalent resistance = Resistors in parallel + Resistor in series
Equivalent resistance = 0.0535 + 40
Equivalent resistance = 40.0535
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