Answer:
The center of mass of an irregular object is always located within the object itself.
The center of mass?The center of mass is the point at which the entire mass of a system is concentrated and behaves as if it were a point mass.
This point is sometimes called the centroid or the barycenter, depending on the context.
The center of mass of an object is the point through which any externally applied force is assumed to act if the object is considered a rigid body.
The position of the center of mass of an object is not dependent on the object's shape or size.
The center of mass of an irregular object is always located within the object itself.
For a given mass distribution in three-dimensional space, it is the unique point at which the weighted relative position of the distributed mass sums to zero, i.e., the balance point.
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A bicyclist makes a trip that consists of three parts, each in the same direction (due north) along a straight road. During the first part, she rides for 26.8 minutes at an average speed of 7.57 m/s. During the second part, she rides for 42.4 minutes at an average speed of 3.17 m/s. Finally, during the third part, she rides for 9.69 minutes at an average speed of 15.0 m/s. (a) How far has the bicyclist traveled during the entire trip
Answer:
(a) She has traveled a total distance of 28958.04 m during the entire trip.
(b) Her average velocity for the trip is 6.12 m/s
Explanation:
Here is the complete question:
A bicyclist makes a trip that consists of three parts, each in the same direction (due north) along a straight road. During the first part, she rides for 26.8 minutes at an average speed of 7.57 m/s. During the second part, she rides for 42.4 minutes at an average speed of 3.17 m/s. Finally, during the third part, she rides for 9.69 minutes at an average speed of 15.0 m/s. (a) How far has the bicyclist traveled during the entire trip? (b) What is her average velocity for the trip?
Explanation:
(a) To determine how far the bicyclist has traveled during the entire trip, we will calculate the distance she covered in each part of the trip, and then sum up the distances to determine the total distance covered.
First, The distance covered in the first part of the tripDuring the first part, she rides for 26.8 minutes at an average speed of 7.57 m/s
That is,
Average speed, \(v\) = 7.57 m/s
and time, \(t\) = 26.8 minutes
Convert the time to seconds
∴ \(t\) = 26.8 minutes = (26.8 × 60) secs = 1608 secs
\(Average speed = \frac{Distance }{ Time}\)
Then, \(Distance = Average speed\) × \(Time\)
Hence, for the first part
\(Distance = 7.57\) × \(1608\)
\(Distance = 12172.56\) m
This is the distance covered in the first part of the trip.
For the distance covered in the second part of the tripDuring the second part, she rides for 42.4 minutes at an average speed of 3.17 m/s
That is, Average speed, \(v\) = 3.17 m/s
and time, \(t\) = 42.4 minutes
Convert the time to seconds
∴ \(t\) = 42.4 minutes = (42.4 × 60) secs = 2544 secs
From,
\(Distance = Average speed\) × \(Time\)
\(Distance = 3.17\) × \(2544\)
\(Distance = 8064.48\) m
This is the distance covered in the second part of the trip.
For the distance covered in the third part of the tripDuring the third part, she rides for 9.69 minutes at an average speed of 15.0 m/s
That is, Average speed, \(v\) = 15.0 m/s
and time, \(t\) = 9.69 minutes
Convert the time to seconds
∴ \(t\) = 9.69 minutes = (9.69 × 60) secs = 581.4 secs
From,
\(Distance = Average speed\) × \(Time\)
\(Distance = 15.0\) × \(581.4\)
\(Distance = 8721\) m
This is the distance covered in the third part of the trip.
Now for the distance covered during the entire trip,
Total distance = distance covered in the first part of the trip + distance covered in the second part of the trip + distance covered in the third part of the trip
Hence,
Total distance = 12172 m + 8064.48 m + 8721 m
Total distance = 28958.04 m
Hence, she has traveled a total distance of 28958.04 m during the entire trip.
(b) For her average velocity for the trip
Average velocity is given by
\(Average velocity = \frac{Total distance traveled}{Total time}\)
Total distance traveled = 28958.04 m
Total time = 1608 secs + 2544 secs + 581.4 secs
Total time = 4733.4 secs
Hence,
\(Average velocity = \frac{28958.04}{4733.4}\)
Average velocity = 6.1178 m/s
Average velocity ≅ 6.12 m/s
3. A lightbulb 500 J of energy is transferred to a lightbulb. 350 J is transferred as heat. The rest is transferred as light. Calculate the efficiency of the bulb.
The efficiency of a bulb can be calculated as the ratio of the useful energy output (in this case, the light energy) to the total energy input. In this scenario, the useful energy output is 500 J - 350 J = 150 J, and the total energy input is 500 J. So, the efficiency can be calculated as:
Efficiency = (useful energy output) / (total energy input) = (150 J) / (500 J) = 0.3 or 30%.
This means that 30% of the energy input was converted into useful light energy, while 70% was converted into heat. This is the efficiency of the bulb.
Write down the names of three mar-made devices in everyday use that depend,
for their action, upon the moments of forces.
Answer:
Scissors
Tap
Spanner
Explanation:
1. A solid sphere of mass 1.0 kg and radius 0.010 m starts from rest and rolls without slipping down a 20.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of the inclined plane
To solve this problem, we need to use conservation of energy. The potential energy at the top of the incline is equal to the kinetic energy at the bottom of the incline plus the rotational kinetic energy of the sphere.
The sphere is rolling without slipping, which means that its translational velocity is equal to its rotational velocity times the radius. The potential energy at the top of the incline is given by mgh, where m is the mass of the sphere, g is the acceleration due to gravity, and h is the height of the incline. Substituting the given values, we have:
Potential energy = (1.0 kg)(9.8 m/s^2)(20.0 m) = 196 J.
At the bottom of the incline, the sphere has both translational and rotational kinetic energy. The translational kinetic energy is given by (1/2)mv^2, where v is the velocity of the sphere. The rotational kinetic energy is given by (1/2)Iω^2, where I is the moment of inertia of the sphere and ω is its angular velocity.
For a solid sphere rolling without slipping, I = (2/5)mr^2 and ω = v/r. Substituting these values, we have: Kinetic energy = (1/2)(1.0 kg)v^2 + (1/2)(2/5)(1.0 kg)(0.010 m)^2(v/0.010 m)^2, Kinetic energy = (1/2)(1.0 kg)v^2 + (1/1000)v^2, Kinetic energy = (501/1000)(1.0 kg)v^2.
Setting the potential energy equal to the kinetic energy, we have: Potential energy = Kinetic energy
196 J = (501/1000)(1.0 kg)v^2, Solving for v, we get: v = √(196 J × (1000/501) / (1.0 kg))
v = 8.86 m/s, Therefore, the speed of the sphere when it reaches the bottom of the inclined plane is 8.86 m/s.
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Which of the following cannot be determined from the spectrum of a star?
the temperature of the atmosphere of the star
the motion of the star
the chemicals in the atmosphere of the star
the chemicals in the core of the star
Answer:
From spectral lines astronomers can determine not only the element, but the temperature and density of that element in the star.
Answer:
The answer would be the chemicals in the atmosphere of the star.
the rate constant for a certain chemical reaction is 0.00327 l mol-1s-1 at 28.9 °c and 0.01767 l mol-1s-1 at 46.9 °c. what is the activation energy for the reaction, expressed in kilojoules per mole?
The activation energy for the reaction is 76.8 kJ/mol.
To calculate the activation energy, we can use the Arrhenius equation: k = A * e^(-Ea/RT), where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin.
By using the given rate constants at two different temperatures, we can set up two equations and solve for the activation energy.
Taking the natural logarithm of both equations and subtracting them, we get ln(k2/k1) = (-Ea/R)*[(1/T2)-(1/T1)].
Solving for Ea, we get Ea = -slope*R, where the slope is the value obtained by plotting ln(k) against 1/T.
Using the given data and solving for Ea, we get: Ea = (-slope) * R = (-1.967) * (8.314 J/mol.K) = 76.8 kJ/mol. Therefore, the activation energy for the reaction is 76.8 kJ/mol.
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Which of the following industries is the largest producer of primary air pollutants in the United States?
The largest producer of primary air pollution in the United States is what? electricity producing plants.
Answer:
electricity production
Explanation:
1. A wooden wheel of mass M, consisting of a rim with spokes, rolls down a ramp that makes an angle q with the horizontal, as shown above. The ramp exerts a force of static friction on the wheel so that the wheel rolls without
slipping.
(a)
i. On the diagram below, draw and label the forces (not components) that act on the wheel as it rolls down the ramp, which is indicated by the dashed line. To clearly indicate at which point on the wheel each force is exerted, draw each force as a distinct arrow starting on, and pointing away from, the point at which the force is exerted. The lengths of the arrows need not indicate the relative magnitudes of the
forces.
1. A wooden wheel of mass M, consisting of a rim w
ii. As the wheel rolls down the ramp, which force causes a change in the angular velocity of the wheel
with respect to its center of mass?
Briefly explain your reasoning.
(b) For this ramp angle, the force of friction exerted on the wheel is less than the maximum possible static
friction force. Instead, the magnitude of the force of static friction exerted on the wheel is 40 percent of the
magnitude of the force or force component directed opposite to the force of friction. Derive an expression
for the linear acceleration of the wheel’s center of mass in terms of M, q, and physical constants, as
appropriate.
(c) In a second experiment on the same ramp, a block of ice, also with mass M, is released from rest at the same
instant the wheel is released from rest, and from the same height. The block slides down the ramp with
negligible friction.
i. Which object, if either, reaches the bottom of the ramp with the greatest speed?
_____Wheel ______Block _____Neither; both reach the bottom with the same speed.
Briefly explain your answer, reasoning in terms of forces.
ii. Briefly explain your answer again, now reasoning in terms of energy
The block, because there is no Force of Friction (Ffr) to slow it down.
-Normal Force (Fn) is perpendicular to ramp
- Force of Friction (Ffr) is going up the ramp
- Force of Gravity (Fg=w=mg) is going straight down
Force of Friction (Ffr) because it causes a rotation, therefore making the acceleration different if friction were negligible and it were slipping down the slope.
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list three factors that affect the rate of losing or gaining heat energy through radiation.
Answer:
Atmospheric temperature
The temperature of the atmosphere plays a major role in the heat loss during radiation, if the atmospheric temperature is lower than the radiating temperature then some of the heat is rejected to the atmosphere.
2.Ground surface reflectivity.
This indicates that how much of the rays are reflected from the ground,Metal surfaces, concrete and beach sand can all reflect UV ,while some surfaces do not.The more is the reflection the more will be the intensity of radiation.
3.Presence of pollutants in the atmosphere
Presence of impurities in the atmosphere can become an obstacle in the way of radiation,as rays after striking particles of impurity may get reflected or refracted depending upon the type of impurity present.
why the shape of the earth is spherical
Answer:
The Earth is massive enough that the pull of gravity maintains its roughly spherical shape. Most of its deviation from spherical stems from the centrifugal force caused by rotation around its north-south axis. This force deforms the sphere into an oblate ellipsoid.
If a car travels 300 kilometers in 3 hours, its average speed is 100 km/hr
According to the information we can infer that it is true that the average speed of the car is 100 km/hr.
How to calculate the average speed?To calculate average speed, we have to consider the available information and then we have to divide the total distance traveled by the total time taken. In this case, the car traveled 300 kilometers in 3 hours.
Average speed = Total distance / Total timeAverage speed = 300 km / 3 hoursAverage speed = 100 km/hrAccording to the above we can conclude that it is true that the average speed of the car is 100 km/hr.
Note: This question is incomplete. Here is the complete information:
Question:
A car travels 300 km in 3 hours. What is it's speed?
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what is electric lines of force
Answer:
Electric field lines are an excellent way of visualizing electric field. Electrical lines of force can be described as a way or path, it can be straight or curved so that the tangent gives the direction of the intensity of the electric field at that point at any point.
What is the quantity measured in newton seconds?
Explanation:
The newton-second (also newton second; symbol: N⋅s or N s)[1] is the derived SI unit of impulse. It is dimensionally equivalent to the momentum unit kilogram-metre per second (kg⋅m/s). One newton-second corresponds to a one-newton force applied for one second.
Newton-second
Impuls Masse Geschwindigkeit.svg
For two objects moving with the same velocity (v), the object with the greater mass (m) will have the greater momentum (p).
if a fisherman applies a horizontal force with magnitude 51.0 n to the box and produces an acceleration of magnitude 2.80 m/s2 , what is the mass of the box?
The mass of the box would be 18.2 kg.
Newton's law of motionWe can use Newton's second law of motion to relate the force applied to the acceleration produced and the mass of the object:
F = ma
where F is the net force applied to the object, m is its mass, and a is the resulting acceleration.
In this case, we are given the force applied (F = 51.0 N) and the resulting acceleration (a = 2.80 m/s^2). Solving for the mass (m), we get:
m = F/a = 51.0 N / 2.80 m/s^2 = 18.2 kg
Therefore, the mass of the box is 18.2 kg.
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explain why energy bonds for utilities tied to bakken shale oil are especially risky.
Energy bonds for utilities tied to Bakken shale oil are especially risky because of the volatile nature of the oil industry and because their oil is expensive to extract due to its geographic location.
The Bakken shale oil fields in North Dakota and Montana have been a major source of oil production in the United States, but the industry has seen a lot of ups and downs in recent years. This volatility can make it difficult for utilities to accurately predict their revenues and expenses, which can make it difficult to repay the bonds.
Additionally, the Bakken shale oil fields are subject to a number of environmental and regulatory risks, which can also impact the profitability of the utilities. As a result, energy bonds for utilities tied to Bakken shale oil are considered to be especially risky investments.
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how long does it take for boiling water to cool to 70 degrees
It can take anywhere from 30 minutes to an hour for boiling water to cool to 70 degrees Fahrenheit, depending on the environment and the amount of water being cooled. To cool it faster, place it in a shallow container and stir it occasionally.
To determine how long it takes for boiling water to cool to 70 degrees, you need to know the starting temperature of the water and the cooling conditions. Assuming you are referring to boiling water at 100 degrees Celsius (212 degrees Fahrenheit) and cooling to 70 degrees Celsius (158 degrees Fahrenheit), the cooling process will depend on factors such as the volume of water, the container material, and the surrounding environment.
Here's a general outline of the cooling process:
1. Start with boiling water at 100 degrees Celsius.
2. Remove the heat source and let the water cool naturally.
3. As the water cools, its temperature will decrease.
4. Observe or measure the temperature until it reaches 70 degrees Celsius.
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Which of the following requires the most work done by the brakes of a car?
A. slowing down from 80 mph to 55 mph
B. Stopping from 55 mph
C. equal amounts of work for both
Stopping from 55 mph requires the most work done by the brakes of a car.
Hence, the correct option is B.
When a car slows down or comes to a complete stop, the work done by the brakes is directly related to the change in kinetic energy of the car. The kinetic energy of an object is given by the equation:
Kinetic energy = (1/2) * mass * \(velocity^2\)
Comparing the options:
A. Slowing down from 80 mph to 55 mph: In this case, the car is experiencing a decrease in velocity, resulting in a decrease in kinetic energy. However, the change in kinetic energy is less compared to option B.
B. Stopping from 55 mph: In this case, the car comes to a complete stop, resulting in a significant decrease in velocity and a substantial change in kinetic energy. The brakes need to dissipate the entire kinetic energy of the car, requiring the most work.
C. Equal amounts of work for both: This option is incorrect. Slowing down from a higher speed to a lower speed (option A) requires less work than coming to a complete stop (option B). The work done by the brakes is directly proportional to the change in kinetic energy, and stopping from a higher speed involves a greater change in kinetic energy.
Therefore, Stopping from 55 mph requires the most work done by the brakes of a car.
Hence, the correct option is B.
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give some examples of applications that resulted from work done by physicists
Example reuikfur2skied
What are 2 benefits from vitamin b and 2 food sources?
Any particle in this platform who belongs to the planet mars or venus or maybe neptune or from uranus or maybe mercury or jupiter i guess
Answer:
Ever since the discovery of Pluto in 1930, kids grew up learning that the solar system has nine planets. That all changed in the late 1990s, when astronomers started arguing about whether Pluto was indeed a planet. In a highly controversial decision, the International Astronomical Union ultimately decided in 2006 to designate Pluto as a "dwarf planet," reducing the list of the solar system's true planets to just eight.
Examples
A Spiral Spring is compressed by 0.0am. Calculate the
energy stored in
ed in the Spring
Spring, ift
ng, if the force Constant is toor
solution
A spiral spring is compressed by 0.5 cm. The energy stored in the spring can be calculated using the formula \(E=1/2*k*x^2\). Given that the force constant is 200 N/m, we can calculate the energy stored in the spring to be 0.00025 J.
A spiral spring is compressed by 0.5 cm. Calculate the energy stored in the spring if the force constant is 200 N/m.The energy stored in the spring can be calculated using the formula: \(E=1/2*k*x^2\), where E is the energy stored, k is the force constant, and x is the displacement of the spring from its equilibrium position. Given that the spring is compressed by 0.5 cm, which is 0.005 m, and the force constant is 200 N/m, we can calculate the energy stored in the spring as follows: \(E = 1/2 * 200 N/m * (0.005 m)^2\) E = 0.00025 JTherefore, the energy stored in the spring is 0.00025 J. This means that when the spring is released, it will convert this energy into kinetic energy as it returns to its equilibrium position.For more questions on spring
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ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements5
tatet
fyou travel 40 miles east and then turn around and drive 12 miles west, the displacement is?
28 miles E
52 miles W
52 miles E
none of the above
Please help I need urgent I would be very grateful for it and give you brainleast
Answer:
28 miles E
Explanation:
Given parameters:
Distance due east = 40miles
Distance due west = 12miles
Unknown:
Displacement = ?
Solution:
Displacement is the distance with a specified direction. It only considers the initial and final points.
Displacement = Final distance - Initial distance
Displacement = 12miles - 40miles
Displacement = - 28miles
The negative 28miles shows that the car is moving east ward.
A mass suspended from a spring is pulled down a distance of 2 feet from its rest position. The mass is
released at time t=0 and allowed to oscillate. The mass returns to this position after 1 second.
Additionally, during a cycle it reaches a maximum height of 2 feet above its rest position.
Sketch a graph of this scenario and write an equation.
A 10kg ball has a momentum of 40 kg.m/s. What is the ball’s speed.
Show the work and equations.
Answer:
4 m/sExplanation:
The speed of the ball can be found by using the formula
\(s= \frac{p}{m} \\ \)
p is the momentum
m is the mass
From the question we have
\(v = \frac{40}{10} = 4 \\ \)
We have the final answer as
4 m/sHope this helps you
- What forces caused the rocket to no longer 'stay at rest' (its INERTIA)?
Answer:
Newtons first law
Explanation:
Objects stay at rest until a force acts on it causing it to move from its resting position
Although ________ satellites are the most expensive to build and launch, they also have the longest orbital life of many years.
Medium Earth Orbit Satellites are the most expensive to build and launch but have the longest orbital life.
A medium Earth orbit Satellites(MEO) is an Earth-centered orbit that is between 1,243 and 22,236 miles (1,243 km) above sea level and is higher than a low Earth orbit (LEO) but lower than a high earth orbit (HEO).
In contrast to the boundary between MEO and LEO, which is an arbitrary altitude determined by recognized practice, the boundary between MEO and HEO is the specific altitude of a geosynchronous orbit, in which a satellite circles the Earth once every 24 hours, or one full revolution of the Earth. All MEO satellites have orbital periods that are fewer than 24 hours, with the shortest periods (for circular orbits at the lowest MEO altitude) being under 2 hours. Solar radiation pressure, which affects satellites on MEO orbits,
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- A periodic composite signal with a bandwidth of 2000 Hz is composed of two sine waves. The first one has a frequency of 100 Hz with a maximum amplitude of 20 V; the second one has a maximum amplitude of 5 V. Draw the bandwidth. - A TV channel has a bandwidth of 6MHz. If we send a digital signal using one channel, what are the data rates if we use one harmonic, three harmonics, and five harmonics?
The bandwidth of the periodic composite signal is drawn as a range between 100 Hz and 2100 Hz , The data rates for sending a digital signal using one harmonic, three harmonics, and five harmonics on a TV channel with a 6 MHz bandwidth would be 6 MHz, 18 MHz, and 30 MHz .
For the first question
Draw the bandwidth of a periodic composite signal, we need to consider the highest frequency component present in the signal.
We have two sine waves one with a frequency of 100 Hz and the other unspecified. Since the bandwidth is given as 2000 Hz, we can assume that the second sine wave has a frequency of 2100 Hz (2000 Hz above the first sine wave frequency).
Draw the bandwidth, we can create a graph with frequency on the x-axis and amplitude on the y-axis.
We plot the amplitude values for the two sine waves at their respective frequencies (100 Hz and 2100 Hz). The bandwidth will be the range between these two frequencies on the x-axis.
For the second question
The data rate for a digital signal transmitted using one harmonic, three harmonics, and five harmonics can be calculated by multiplying the channel bandwidth by the number of harmonics used. Since the bandwidth is given as 6 MHz, the data rates would be as follows:
One harmonic: 6 MHz
Three harmonics: 18 MHz
Five harmonics: 30 MHz
The data rate increases with the number of harmonics used because each harmonic contributes additional information to the signal, allowing for a higher data transmission rate.
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1. What types of emergency situations could
rescue workers be in that would make it
difficult for them to get energy to their
electrical devices?
Answer:
large-scale natural disasters
Explanation:
The niceties of civilization are generally unavailable over wide areas when they are affected by ...
hurricanesearthquakestornadoesSuch situations often require rescue workers.
Situations such as:
natural disasters, such as flooding.fire disastersFirst, we wonder, who are rescue workers? Basically speaking, a rescue worker is anyone who is trained to bring people out of any harm, danger, or threat that may come their way.
|n such emergency situations, power lines are usually down, and so it may be difficult for them to get the energy needed to power their electrical devices.
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the amount of force applied per given area is
Answer:
Explanation: The amount of force applied per given area is pressure...(F/A)
SI unit=Pascals(Newtons/m^2)
A carbon footprint is a measure of the amount of carbon human activities, like using energy, release into the atmosphere. Which activity would help decrease the greatest carbon-releasing activity in us homes?.
The activity that helps reduce the number one CO₂ emission in US households is wearing layers of clothing.
What is energy consumption?Energy consumption includes direct or indirect consumption of energy.Activities that may help to reduce CO₂ emission, the largest in US households, must eliminate energy use entirely.Of all the options given, the only option that does not involve energy consumption is to wear layers of clothing. Two thin layers are warmer and lighter than one thick layer because the air trapped between them acts as insulation. Layering is especially useful in cold climates where clothing needs to wick moisture, provide warmth, and protect from wind and rain.So the activity that helps reduce the biggest carbon-emitting activity in US households is wearing layers of clothing.
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