A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are placed on the table as follows: a my = 1.4-kg object at the origin of the coordinate system, a m2 = 2.9-kg object
at (0, 2.0), and a mg = 4.5-kg object at (4.0, 0). Find the resultant gravitational force exerted by the other two objects on the object at the origin.
Answers
The resultant gravitational force exerted by the other two objects on the object at the origin of the coordinate system is approximately 1.22 N directed towards the positive y-axis.
To find the resultant gravitational force on the object at the origin, we need to calculate the gravitational force exerted by each of the other two objects and then determine their vector sum.
The gravitational force between two objects can be calculated using Newton's law of universal gravitation:
\(F = G * (m1 * m2) / r^2\)
where F is the gravitational force, G is the gravitational constant (approximately 6.674 × 10^(-11) N·m^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between them.
First, let's calculate the gravitational force exerted by the 2.9-kg object at (0, 2.0) on the 1.4-kg object at the origin. The distance between them is given by the y-coordinate:
r1 = 2.0 m
Using the formula, we get:
F1 = (6.674 × \(10^{(-11)\) N·\(m^2/kg^2\)) * ((1.4 kg) * (2.9 kg)) / \((2 m)^2\)
F1 ≈ 2.13 N
The gravitational force is directed towards the positive y-axis.
Next, let's calculate the gravitational force exerted by the 4.5-kg object at (4.0, 0) on the 1.4-kg object at the origin. The distance between them is given by the x-coordinate:
r2 = 4.0 m
Using the formula, we get:
F2 = (6.674 ×\(10^{(-11)\) N\(m^2/kg^2\)) * ((1.4 kg) * (4.5 kg)) / \((4.0 m)^2\)
F2 ≈ 1.88 N
The gravitational force is directed towards the positive x-axis.
To find the resultant force, we need to combine the individual forces as vectors. Since the forces are perpendicular to each other, we can use the Pythagorean theorem:
Resultant force = √\((F1^2 + F2^2)\)
Resultant force = √\(((2.13 N)^2 + (1.88 N)^2)\)
Resultant force ≈ 1.22 N
The resultant gravitational force exerted by the other two objects on the object at the origin is approximately 1.22 N directed towards the positive y-axis.
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Related Questions
what is the activity in 2053 if in 2017 was 25kBq and the half life is 12?
Answers
Answer:
half or time for half the nuclei to decay.
Explanation:
A truck covered 2/7 of a journey at an average speed of 40
mph. Then, it covered the remaining 200 miles at another
average speed. If the average for the whole journey was 35
mph, what was the amount of time for the whole journey?
h
Answers
Answer:8h
Explanation:
Answer: 8 h
Explanation:
I got it right
Ok soo idk what question to ask but one of my friends said tht she was dressing as Harley Quinn and she said i should dress as her too but then i said no i dont rlly dress up of those kind of people but then she started to flip out because i couldnt dress as her?? Should I tell her that not all people can dress the same even if they want to or not? What should I say so she can stop saying things that are rude just bc she is mad and thats not my fault??
Answers
Answer:
You should tell her in a nice way that that's just not your style and if she doesnt accept that then maybe you should just not talk to her for a while and let her cool down
Explanation:
Hope this helps
Explain how do global winds impact weather in an area?
Answers
Answer:
As the warmer air over the equator rises, colder air from the poles rushes toward the equator to take its place. Global winds push air masses around Earth and bring changes in the weather. In the United States, global winds called the prevailing westerlies push air masses from west to east.
Explanation:
Answer:
As the warmer air over the equator rises, colder air from the poles rushes toward the equator to take its place. ... Global winds push air masses around Earth and bring changes in the weather. In the United States, global winds called the prevailing westerlies push air masses from west to east.
Explanation:
Convert 30.0 degrees Celsius into Fahrenheit
Answers
A 6 kilogram concrete block is dropped from the top of a tall building. The block has fallen a distance of 55 meters and has a speed of 30 meters per second when it hits the ground.
a. At the instant the block was released, what was its gravitational potential energy?
b. Calculate the kinetic energy of the block at the point of impact.
c. How much mechanical energy was "lost" by the block as it fell?
d. Explain what happened to the mechanical energy that was "lost" by the block
Answers
a) At the point the block is released, the initial velocity is zero, so the initial kinetic energy of the block is zero. The block is at a height of 55 meters from the ground, so its gravitational potential energy can be calculated using the formula;
PE = mghwhere m = 6 kg (mass of the block), g = 9.8 m/s² (acceleration due to gravity), and h = 55 m (height of the block from the ground)PE = mgh = (6 kg) (9.8 m/s²) (55 m) = 3,234 JTherefore, the gravitational potential energy of the block when it was released was 3,234 Joules (J).b) The kinetic energy of the block at the point of impact can be calculated using the formula; KE = ½mv²where m = 6 kg (mass of the block), and v = 30 m/s (velocity of the block)KE = ½mv² = ½ (6 kg) (30 m/s)² = 2,700 J.
Therefore, the kinetic energy of the block at the point of impact was 2,700 Joules (J).c) The law of conservation of energy states that energy cannot be created or destroyed, it can only be transformed from one form to another. At the point of impact, the block loses its kinetic energy. The mechanical energy "lost" by the block can be calculated as the difference between the initial potential energy and the final kinetic energy.
ΔE = PE - KE= (3,234 J) - (2,700 J) = 534 J
When the block hit the ground, it created a loud sound, generated heat, and also caused the ground to shake. Therefore, the mechanical energy that was "lost" by the block was transformed into sound energy, heat energy, and seismic energy.
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operated in counter-current regime with steam inlet and outlet temperatures of 170∘C and 140∘C, respectively. Calculate: i. Mass flow rate of water (in kgs−1 ); ii. ii. Surface area ( in m2 ) of the heat exchanger. Given:
- Heat capacity at constant pressure of acetic acid: 2.3263 kJ( kg∗C)−1; - Overall heat transfer coefficient: 79.89 W m−2⋅C−1. a. (i) 21.12 kg s−1; (ii) 0.26 m2 b. (i) 20.39 kg s−1; (ii) 0.11 m2 c. (i) 10.39 kg s−1; (ii) 0.016 m2 d. (i) 21.12 kg s−1; (ii) 0.16 m2 e. (i) 20.39 kg s−1; (ii) 0.16 m2
Answers
Operated in counter-current regime with steam inlet and outlet temperatures of 170∘C and 140∘C, the correct answer is: a. (i) 21.12 kg/s; (ii) 0.26 m²
To calculate the mass flow rate of water and the surface area of the heat exchanger, we need to use the principles of heat transfer and energy conservation.
i. Mass flow rate of water:
We can use the equation for heat transfer in a heat exchanger:
Q = m * cp * ΔT
where Q is the heat transferred, m is the mass flow rate of water, cp is the heat capacity at constant pressure, and ΔT is the temperature difference between the steam inlet and outlet.
Since the heat transferred is given by:
Q = U * A * ΔTlm
where U is the overall heat transfer coefficient and A is the surface area of the heat exchanger, and ΔTlm is the logarithmic mean temperature difference, we can rearrange the equations to solve for the mass flow rate:
m = Q / (cp * ΔT) = (U * A * ΔTlm) / (cp * ΔT)
Given the values for U, A, cp, and ΔT, we can substitute them into the equation to calculate the mass flow rate of water.
ii. Surface area of the heat exchanger:
We can rearrange the equation for heat transfer to solve for the surface area:
A = (Q / (U * ΔTlm))
Using the given values of Q, U, and ΔTlm, we can substitute them into the equation to calculate the surface area.
After performing the calculations, we find that the correct answer is:
a. (i) 21.12 kg/s; (ii) 0.26 m²
It's important to note that these calculations are based on the assumptions and data provided. The heat capacity, overall heat transfer coefficient, and temperatures given are crucial in determining the mass flow rate and surface area of the heat exchanger.
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The figure shows cart A with a mass of 40 kg moving to the right at 12 m/s toward a stationary cart with a mass of 55kg
Help me pls
Answers
Answer:
Explanation:
To determine the velocity of cart B after the elastic collision with cart A, we can use the principle of conservation of momentum. In an elastic collision, the total momentum before the collision is equal to the total momentum after the collision.
The momentum of an object is calculated by multiplying its mass by its velocity.
Given:
Mass of cart A (m_A) = 40 kg
Initial velocity of cart A (v_Ai) = 12 m/s
Final velocity of cart A (v_Af) = -1.9 m/s (since it moves to the left)
Mass of cart B (m_B) = 55 kg
Initial velocity of cart B (v_Bi) = 0 m/s (since it is initially stationary)
Final velocity of cart B (v_Bf) = ?
Using the principle of conservation of momentum, we can write:
Total momentum before collision = Total momentum after collision
(m_A * v_Ai) + (m_B * v_Bi) = (m_A * v_Af) + (m_B * v_Bf)
(40 kg * 12 m/s) + (55 kg * 0 m/s) = (40 kg * -1.9 m/s) + (55 kg * v_Bf)
480 kgm/s = -76 kgm/s + (55 kg * v_Bf)
To isolate v_Bf, we can rearrange the equation:
(55 kg * v_Bf) = 480 kgm/s - (-76 kgm/s)
(55 kg * v_Bf) = 480 kgm/s + 76 kgm/s
(55 kg * v_Bf) = 556 kg*m/s
Now, we can solve for v_Bf by dividing both sides of the equation by 55 kg:
v_Bf = (556 kg*m/s) / 55 kg
v_Bf ≈ 10.11 m/s
Therefore, the velocity of cart B after the elastic collision is approximately 10.11 m/s.
What happens to the magnet on top of another magnet?
Answers
Similar like magnets, opposites are drawn together. A magnet's north pole will adhere to another magnet's south pole. However, a magnet's north pole will push away from another magnet's north pole.
The basic adage "opposites attract" applies to magnets. Every magnet has a north and a south pole. The drawing together of two poles that are incompatible with one another. If you attempt to align the north and south poles in these directions, they will reject one another.The magnets are surrounded by an invisible magnetic field that is filled with potential energy. When two poles with similar sides are attempted to be pushed together, the built-up energy transforms into motion, or kinetic energy, and pushes the poles apart.When two diametrically opposed poles combine, the same logic applies. The magnets are compelled to come together because of the intense attraction.
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determine the temperature at which the celsius and fahrenheit scales give the same numerical reading (tc
Answers
There seems to be one location where the Fahrenheit or Celsius scales meet. At both -40 °C und -40 °F, they are equal.
Why is the Celsius scale so widely used?Because it is used in conjunction with the metric scale, the Fahrenheit scale is more frequently utilized. It makes reasonable that they utilize the Celsius scale as well since the majority of nations use the metric system. It is also simpler to convert from Celsius to Kelvin for this reason.
How is Celsius read?The letters °C or just C can be used to denote temperatures in Celsius as a number of degrees. The temperature difference between boils and ice is 100 degrees Celsius, whereas it is 180 ° Fahrenheit.
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A 0. 20-kg baseball is struck with a force of 100 n from a 0. 94-kg baseball bat. What will be the acceleration of the ball and the bat, in that order, while the bat and ball are in contact?.
Answers
The acceleration of the baseball is 500 m/s².
A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull.
The mass of the baseball, m = 0.2 kg
The force acting on the baseball is 100 N.
By Newton's second law of motion,
F = ma
Substituting the values in the above equation,
100 N = 0.2 kg × a
a = 100 / 0.2
a = 500 m/s²
The total mass when the baseball and baseball bat are in contact is:
m = 0.2 + 0.94 = 1.14 kg
Then the acceleration will be:
F = ma
100 = 1.14 × a
a = 87.7 m/s²
The acceleration of the ball after the contact is 500 m/s².
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What type of material will have a low flow of electrons?
Answers
Answer: Insulators if i'm correct.
Explanation:
7) Find F1 and F2
HELP PLEASEEE
Answers
The force F1 is equal and opposite to the downward force thus, F1 is equal to 60 N. The force F2 is inclined to 30 ° from leftward force and it is equal to 38.97 N in magnitude.
What is force?Force is an external agent acting on a body to deform it or to change its state of motion or rest. Force is a vector quantity and it is characterised by its magnitude and direction.
If two forces acting on a body from the same directions, then the net force will be the sum of these two forces. If they are acting from opposite directions, they will cancel each other in magnitude.
The force F1 is equal and opposite to the force acting downward. Thus its magnitude is 60 N. The force F2 is inclined to 30 ° from horizontal direction.
F2 = 45 cos 30 = 38.9 N.
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Imagine that you’re observing a collision. which action would allow you to determine whether the collision is inelastic?
Answers
Observe whether the colliding objects change their shape.
When observing a collision, we observe whether the colliding objects change their shape to see whether the collision is inelastic.
What is an inelastic collision?An inelastic collision is one in which the kinetic energy is lost. In an inelastic collision, the system's momentum is conserved, but its kinetic energy is not.
Which way does an elastic collision occur?Solution: (i) An inelastic collision occurs when the total initial kinetic energy of the bodies prior to the collision does not equal the total final kinetic energy of the bodies following the collision. Momentum is retained in (ii). In an inelastic collision, kinetic energy is not conserved.What are two instances of collisions that are completely inelastic?When two objects move as one mass after colliding, this is known as a perfectly inelastic collision. Examples: hitting a target board with an arrow. a meteor getting buried in the cracks of the Earth. The two items have united.To learn more about inelastic collision visit:
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1-kg of water (specific heat 4200 j/(kg c)) is mixed with 1-kg of a mystery substance. the water is initially at 35 c, and the mystery substance is initially at 20 c. the final temperature the mixture reaches is 25 c. what is the heat capacity of the mystery substance? answer in j/(kg c).
Answers
When 1 kg of water (specific heat 4200 j/(kg c)) and 1 kg of a mystery substance are combined, the mystery substance has a heat capacity of 8400 J/kg C. Initial water temperature is 35 c.
The quantity of heat that must be applied to an object in order to cause a unit change in temperature is known as the specific heat or thermal capacity of that object. Joules per kelvin (J/K) is the SI unit for heat capacity. An extensive property is heat capacity. The unidentified compound was discovered to be extremely similar to the drug fluoxetine but not exactly the same. In actuality, the two compounds are isomers, which are atoms that are bound to one another in distinct ways despite having the same number and type of atoms.
1*4200(35-25) = 1*C(25-20)
C = (1*4200*10)/5
C = 8400J/kg C
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Tariah is riding on her bike at 4m/s (North). If she accelerates at a rate of 1.5 m/s^2 for 2 s, what is her final velocity?
Answers
ANSWER:
7 m/s
STEP-BY-STEP EXPLANATION:
Given:
Initial velocity (u) = 4 m/s
Acceleration (a) = 1.5 m/s^2
Time (t) = 2 s
We can calculate the final velocity using the following formula:
\(v=u+a\cdot t\)We replace and calculate the value of the final velocity:
\(\begin{gathered} v=4+2\cdot1.5 \\ v=4+3 \\ v=7\text{ m/s} \end{gathered}\)The final velocity is equal to 7 m/s.
e. what happens to the interference pattern if d is increased? what if d is decreased? explain your reasoning.
Answers
When the distance between the two slits, d, is increased, the interference pattern will become the wider.
On the other hand, if d is decreased, the interference pattern will become narrower. This is because the phase difference between the waves becomes larger, resulting in a narrower interference pattern.
This is because the distance between the slits affects the phase difference between the waves, which in turn affects the interference pattern. When d is increased, the phase difference between the waves becomes smaller, resulting in a wider interference pattern.
The interference pattern is a phenomenon that occurs when waves interact with each other, producing regions of constructive and destructive interference. In the context of a double-slit experiment, the interference pattern refers to the pattern of light and dark fringes observed on a screen placed behind two closely spaced slits through which light passes.
The distance between the two slits, represented by the variable "d," plays a crucial role in determining the interference pattern. Specifically, the distance between the slits determines the phase difference between the waves that pass through each slit, which in turn affects the pattern of interference.
If the distance "d" between the two slits is increased, the distance traveled by the waves passing through each slit will also increase. This will result in a larger phase difference between the waves, leading to an increase in the spacing between the interference fringes on the screen. In other words, the interference pattern will be spread out over a larger area, resulting in wider and more widely spaced fringes.
Conversely, if the distance "d" between the slits is decreased, the distance traveled by the waves passing through each slit will also decrease.
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a(n) _____ is always running off its battery while the main power runs the battery charger.
Answers
A device that operates in this manner is called an Uninterruptible Power Supply (UPS).
A UPS is designed to provide continuous power to a device by running off its battery while the main power runs the battery charger. This ensures that the connected device receives a stable and constant power supply, preventing data loss, hardware damage, or downtime caused by power outages or fluctuations.
In summary, an Uninterruptible Power Supply (UPS) is the device that always runs off its battery while the main power runs the battery charger, providing constant and stable power to connected devices.
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Calculate the power required of a 1400kg car under the following circumstances a) The car climbs a 10° hill at a steady 80km/h and b) The car accelerates from 90 to 110km/h in 6.0s to pass another car on a level road. Assume the force of friction on the car is 700N in both parts of the problem.
Answers
(a) The power required for the car to climb the hill at steady speed is 15,555.56 W.
(b) The power required for the car to climb the hill at a changing speed is 19,444.44 W.
What is the power required?
The power required for the car the move the incline is calculated as follows;
When the speed is steady, the average speed is calculated as;
v = ( 80km/h + 80 km/h) / 2 = 80 km/h = 22.22 m/s
P = Fv
where;
F is the applied forcev is average speedP = ( 700 N x 22.22 m/s )
P = 15,555.56 W
When the speed changes from 90 km/h to 110 km/h, the average speed is calculated as;
v = ( 90 km/h + 110 km/h ) / 2 = 100 km/h = 27.78 m/s
P = ( 700 N x 27,78 m/s )
P = 19,444.44 W
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In the district soccer championship finals, Elizabeth kicks a 0.75 kg soccer ball with a force of 17.0 N. How much does she accelerate the soccer ball from rest in the process?
Answers
22.6m/s² will be the Acceleration needed by Elizabeth.
According to Newton's second law of motion, the force is equal to the product of the mass and acceleration of an object.
So the formula used will be,
F = ma
then, a = F/m
Where a is acceleration, F is force and m is the mass of the ball.
Then
a = 17/0.75 = 22.6
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Lightning flashes and you hear a thunder clap for seconds later. the velocity of sound is 340 m/s. how far away did lightning strike ?
Answers
Answer:
For metric-system conversions, follow this method: Sound travels at about 340 m/s, so multiply the number of seconds you counted by 340, and you'll know how many meters away lightning struck. A three-second count, then, would place the lightning strike about 1,020 m away, or roughly 1 km.
Explanation:
hope it hep and if it doesnt sorry
The distance struck by the lighting flashes is 680 m.
The given parameters;
time taken to hear the thunder clap, t = 4 svelocity of sound, v = 340 m/sThe distance struck by the lighting is calculated by applying the principle of echo as follows;
\(v = \frac{2d}{t} \\\\2d = vt\\\\d = \frac{vt}{2} \\\\d = \frac{340 \times 4}{2} \\\\d = 680 \ m\)
Thus, the distance struck by the lighting flashes is 680 m.
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A truck is moving at a constant speed of 50 m/s. A boy riding in the back of the truck throws a newspaper out the back of the truck at a speed of 20 m/s. What is the speed of the paper relative to someone standing on the roadside?
Answers
Answer:
70m/s
Explanation:
The car's initial speed was 32m / s and it takes 99 seconds for the car to come to a full stop after the driver applies the brakes. What is the magnitude of the car's acceleration?
Answers
Answer:
0.323232....m/s2
Explanation:
acceleration=V/t
32m/s/99s=0.3232m/s2
Consider a cylinder with a moveable piston that contains a gas mixture at room temperature. The piston is pushed down, increasing the pressure of the gas mixture system. What is true about the change in entropy for this process?.
Answers
The entropy of the gas mixture system on increasing the pressure. Therefore, the change in entropy (ΔS) of the system will be negative.
What is entropy?The entropy of a system can be described as a measure of spontaneous changes that occur in a system. Entropy can be defined as the tendency of the universe towards disorder.
Entropy can be measured by the randomness or disorder of a thermodynamic system and is expressed by ‘S’. The value of entropy of a system is dependent upon the amount of substance therefore, it is an extensive property.
The entropy change depends on changes in quantities such as pressure, temperature, volume, and the number of moles of substance present in the system.
If the pressure on the piston will be increased in the gas mixture, there is a lesser volume to distribute the molecules, therefore, the final entropy of the system will be decreased and the entropy change will be negative.
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In a solar panel for heat supply,state the function of each of the following parts:a) metal flat plate b) thermal insulator c) tubes
Answers
Thermal insulators stop the loss of accumulated heat, metal flat plates absorb solar radiation, and tubes absorb solar energy with the least amount of heat loss.
Briefing : A coated metal plate absorbs solar energy, raising its temperature above the surrounding air. The plate then disperses energy into its immediate surroundings through radiation and convection. The heat-transfer fluid receives the heat as a result, and the hot water system is then fueled. Thermal solar collectors with insulation improve absorption efficiency and prevent the loss of accumulated heat.These tubes absorb the sun's energy while minimizing heat loss to the environment by using a vacuum, or evacuated space. The heat captured from the Sun is transferred to the water through a heat pipe that is attached to an inner metal tube that serves as the absorber plate.To know more about vacuum :
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help help help help help help help help help help help help
Answers
Answer:
well i may be wrong but i geussed letter B
Explanation:20m/s2squaredAnswer:
letter B
Explanation:
20m/s2squared
compared to ida, eros, and gaspra, what was odd about mathilde?
A. It was smaller in size
B. It had a different shape
C. It had a different composition
D. It had a different color
Answers
The odd feature about Mathilde is that it had a different shape. It has all the features like Ida, Eros, and Gaspra. Thus, option D is correct.
Mathilde is a type of metal body present in the asteroid belt having an irregular shape. It is different from other asteroids because of its highly elongated and heavily cratered structure in space. It is estimated that the diameter of the Mathilde is around 50 kilometers.
Mathilde does not have any defined shape and the color is also very distinct. Due to its high carbon nature, it looks like dark black color. This type of asteroid is more prone to collisions.
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You lift a 22.5 kg bag of trash 2.5 m off of the ground in 2.5 s. You then carry the bag of trash up a flight of stairs that are 10 m tall, in 18s. How much work was done to the bag of trash in total? How much power was required to do all work above?
Answers
The power required to do all the work above is 2756.25 J / 20.5 s = 134.3 W.
To lift the 22.5 kg bag of trash 2.5 m off the ground, you did work against gravity. The work done can be calculated using the formula W = mgh, where m is the mass of the object, g is the acceleration due to gravity (\(9.8 m/s^2\)), and h is the height lifted. Therefore, W = \((22.5 kg)(9.8 m/s^2)(2.5 m)\) = 551.25 J.
To carry the bag of trash up a flight of stairs that are 10 m tall, you did work against gravity as well. The work done can be calculated using the same formula. Therefore, W = \((22.5 kg)(9.8 m/s^2)(10 m)\) = 2205 J.
The total work done on the bag of trash is the sum of the work done to lift it off the ground and the work done to carry it up the stairs. Therefore, the total work done is 2756.25 J.
To calculate the power required to do all the work above, we can use the formula P = W/t, where P is power, W is work done, and t is time.
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One of the main arguments that animal rights advocates present is that animals have rights because they __________. A. Have moral agency B. Are capable of suffering C. Cannot defend themselves D. Are the property of humans Please select the best answer from the choices provided A B C D.
Answers
One of the main arguments that animal rights advocate present is that animals have rights because they are capable of suffering.
What are animal rights?Animal rights are ethical visions founded on the trust that animals deserve the space to live their own lives without being affected by mortal interests.
Humans have to always give freedom to animals for their living without their personal interests.
The animal is capable to suffer this is an argument that comes always on the animal rights sheet.
Hence the option B is correct.
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when developing an experemental design, which action could a scientist take to improve thye quality of results
Answers
Answer:
i dont know i want points tho
Explanation: