So the force between the two charges would be 8.99 x 10^3 newtons.
define force ?
Force is a physical quantity that describes the interaction between objects or systems, causing a change in motion or deformation. It is typically measured in newtons (N) and is represented as a vector quantity with both magnitude and direction.
The force between two charges can be calculated using Coulomb's law:
F = kq1q2 / r^2
where k is Coulomb's constant (k = 8.99 x 10^9 N m^2/C^2), q1 and q2 are the charges of the two objects, and r is the distance between them.
In this case, q1 = q2 = 1 C, and r = 1 km = 1000 m. Plugging these values into the equation, we get:
F = (8.99 x 10^9 N m^2/C^2) * (1 C) * (1 C) / (1000 m)^2
= 8.99 x 10^3 N
So the force between the two charges would be 8.99 x 10^3 newtons.
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a 0.65 m long, 0.86 kg rod has a small 1.2 kg sphere attached to the lower end as shown. how far from the top of the rod is the center of mass of the system? treat the sphere as a point mass. enter your answer in meters.
0.67m from the top of the rod is the center of mass of the system located which is 0.65m long and 0.86kg.
Given the length of rod (d1) = 0.65m
The mass of rod (m1) = 0.86kg
The mass of sphere (m2) = 1.2kg
The distance from the top of the rod to the center of mass of the system can be found using the following equation:
Distance from the top of the rod to the center of mass = (m1*d1 + m2*d2) / (m1 + m2) where m1 is the mass of the rod, d1 is the length of the rod, m2 is the mass of the sphere, and d2 is the distance from the top of the rod to the center of the sphere.
Substituting the given values, we get:
Distance from the top of the rod to the center of mass =
[tex](0.86 * 0.65 + 1.2 * 0.65) / (0.86 + 1.2) = 0.67 m[/tex]
Therefore, the distance from the top of the rod to the center of mass of the system is 0.67 m.
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show answer no attempt 50% part (b) how much energy is lost to friction if the motorcycle only gains an altitude of 21 m before coming to rest?
From the information provided, the energy lost to friction if the motorcycle only gains an altitude of 21 m before coming to rest is approximately 65,954.64 J.
To calculate the energy lost to friction, we need to first determine the initial total mechanical energy of the motorcycle and the final total mechanical energy of the motorcycle after it has climbed to a height of 21 meters and come to rest. The difference between the initial and final energies will give us the energy lost to friction.
The initial total mechanical energy of the motorcycle is given by:
Ei = (1/2)mv² + mgh + 2(1/2)Iw²
where m is the mass of the motorcycle, v is its initial speed, h is the height it climbs, g is the acceleration due to gravity, I is the moment of inertia of the wheels, and w is their initial angular velocity.
We need to calculate the moment of inertia of each wheel:
I = (1/2)mr²
where m is the mass of the wheel and r is its radius. Substituting the given values, we get:
I = (1/2)(12 kg)(0.33 m)² = 0.6534 kg m²
The initial angular velocity of each wheel is not given, so we can assume that it is initially at rest (i.e., w = 0).
Substituting the given values into the equation for E, we get:
Ei = (1/2)(180 kg)(25 m/s)² + (180 kg)(9.81 m/s²)(36 m) + 2(1/2)(0.6534 kg m²)(0)²
= 101,812.44 J
The final total mechanical energy of the motorcycle is given by:
Ef = mgh
where m, g, and h are as before, and the speed and rotational energy of the wheels are both zero.
Substituting the given values, we get:
Ef = (180 kg)(9.81 m/s²)(21 m) = 35,857.8 J
The energy lost to friction is the difference between the initial and final energies:
Energy lost = Ei - Ef = 101,812.44 J - 35,857.8 J = 65,954.64 J
Question - Suppose a 180 kg motorcycle is heading toward a hill at aspeed of 25 m/s. The two wheels weigh 12 kg each and are each annular rings with an inner radius of 0.280 m and an outer radius of 0.330 m. Randomized Variables m 180 kg ˇ-25 m/s h 36 m. how much energy is lost to friction if the motorcycle only gains an altitude of 21 m before coming to rest?
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Edgar kicks the ball to Jerry across the soccer field. The ball stays on the ground. The ball has a mass of 21.79 kg. If the coefficient of friction between the grass and the ball is 1.45, what is the force of friction?
The force of friction between the ball and the grass is 309.98 N.
What is Friction?
It occurs as a result of the microscopic irregularities on the surfaces that interlock and resist relative motion. The amount of friction between two surfaces depends on factors such as the nature of the surfaces in contact, the force pressing the surfaces together, and the relative speed between the surfaces. Friction can be beneficial in some situations, such as in walking or driving a car, but it can also be a hindrance in others, such as in machines where it causes wear and tear on moving parts.
To calculate the force of friction, we can use the formula:
Friction force = coefficient of friction × normal force
The normal force is the force that the ground exerts on the ball and is equal to the weight of the ball, which is:
Weight = 21.79 kg × 9.81 m/s^2
Weight = 213.68 N
So, the normal force is 213.68 N.
Now we can calculate the friction force:
Friction force = 1.45 × 213.68 N
Friction force = 309.98 N
Therefore, the force of friction between the ball and the grass is 309.98 N.
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Use the tools to measure and calculate the vertical momentum of the two-puck system before the collision. Show your process
To measure and calculate the vertical momentum of the two-puck system before the collision.
Set up the experiment: Place two pucks of known masses on a frictionless air hockey table, with one puck placed directly above the other. Ensure that the pucks are in contact with each other before the experiment begins.Measure the mass of the pucks: Use a scale to measure the masses of the two pucks. Let's assume the mass of the top puck is 0.1 kg and the mass of the bottom puck is 0.2 kg.Measure the initial velocity of the system: Use a motion sensor or a timer to measure the initial velocity of the system just before the collision. Let's assume the initial velocity of the system is 2 m/s.Calculate the initial momentum of the system: The momentum of the system before the collision can be calculated using the formula:Initial momentum = (mass of top puck + mass of bottom puck) x initial velocity
Substituting the values we have:
Initial momentum = (0.1 kg + 0.2 kg) x 2 m/s
Initial momentum = 0.3 kg x 2 m/s
Initial momentum = 0.6 kg m/s
Therefore, the vertical momentum of the two-puck system before the collision is 0.6 kg m/s.
Define collision.When two or more objects come into contact with one another and exchange energy, momentum, or other physical properties, the occurrence is called a collision. Depending on the nature of the items involved and how they interact with each other during the impact, a collision in physics can be either elastic or inelastic.
The complete kinetic energy of the colliding objects is preserved in an elastic collision, which means that none of the kinetic energy is converted into other kinds of energy like heat or sound. The items in this kind of collision bounce off one another with the same velocity and direction as before the collision.
On the other hand, in an inelastic collision, some or all of the kinetic energy of the colliding objects is transformed into other types of energy, such heat, sound, or object deformation. In this kind of collision, the items may cling together after impact or bounce off one another in a different direction or at a different speed than previously.
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Sarah rides her horse with a constant speed of 20 km/h. How far can she travel in 4 hours
Answer:
Sarah can travel 80 km in 4 hours at a constant speed of 20 km/h.
Explanation:
The distance that Sarah can travel in 4 hours can be calculated by multiplying her speed (20 km/h) by the time (4 hours):
distance = speed x time
distance = 20 km/h x 4 hours = 80 km
Answer:
80 km
Explanation:
Speed = Distance / Time
20 = Distance / 4
Distance = Speed x Time
Distance = 20 x 4
Distance = 80 km
Hope it helps
if you replaced the three resistors with a single resistor, what is the resistance req of this resistor?
To find the equivalent resistance of a circuit, the circuit topology has to be considered, the values of the individual resistors, and how they are connected.
What is equivalent resistance of a circuit?
The equivalent resistance of a circuit is the single resistor that would replace all the resistors in the circuit and produce the same overall resistance as the original circuit.
In other words, when the equivalent resistance of a circuit is calculated, the resistance of a single resistor could be found that would cause the same amount of current to flow through the circuit when the same voltage is applied as the original circuit. This single resistor is a theoretical construct and in reality, one would need to use multiple resistors to achieve the same overall resistance.
The equivalent resistance depends on the topology of the circuit, the values of the individual resistors, and how they are connected. For simple circuits, the equivalent resistance can be calculated using the formulas for resistors in series, resistors in parallel, or a combination of both. For more complex circuits, computer simulations or experimental measurements may be necessary to determine the equivalent resistance.
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semiconductors can simplistically be thought of as an intermediate state between insulators and conductors. in a semiconductor, charges are normally bound in place (like in an insulator), but when injected with enough energy, the charges can move freely (like in a conductor). given what we have observed about the behavior of conductors and insulators in this exploration, what would happen if we replaced the pvc rod with a semiconductor material? what mechanisms could we employ to inject energy into the bound charges in the semiconductor to force it to act like more of a conductor?
Replacing PVC rod with semiconductor material, its behavior would depend on specific properties. To inject energy we can apply a voltage.
If we replaced the PVC rod with a semiconductor material, the behavior of the rod would depend on the specific properties of the semiconductor. Semiconductors have a unique property called the bandgap, which is the energy difference between the highest occupied energy level (valence band) and the lowest unoccupied energy level (conduction band). When an external energy source, such as heat or light, is applied to a semiconductor, it can promote electrons from the valence band to the conduction band, creating a flow of free electrons that can conduct electricity.
To inject energy into the bound charges in the semiconductor and force it to act more like a conductor, we could use several mechanisms. One common approach is to apply a voltage across the semiconductor, which creates an electric field that can promote electron movement. Another approach is to expose the semiconductor to light, which can excite electrons to higher energy levels and promote conduction. Additionally, thermal energy can cause the semiconductor to act more like a conductor by promoting electron movement. These mechanisms can be used to tailor the conductivity of semiconductors, which is the foundation of many modern technologies such as transistors, solar cells, and light-emitting diodes (LEDs).
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Which of these is constant for ALL types of electromagnetic radiation in a vacuum?
In a vacuum, the Velocity of ALL forms of electromagnetic radiation remains constant. In contrast to mechanical waves, electromagnetic waves may travel without a medium.
This indicates that electromagnetic waves are capable of passing not just through solid objects like air and rock but also through a vacuum like space.
At the speed of light (2.998 108 m/s), electromagnetic radiation is an electric and magnetic disturbance that travels through space. It moves in radiant energy packets called photons or quanta and has neither mass nor charge. X-rays, infrared, ultraviolet, gamma, and radio waves are all types of electromagnetic radiation. The sun and other celestial bodies, radioactive substances, and man-made gadgets are some examples of sources of EM radiation. EM displays both a wave and a particle nature.
The medium's electric and magnetic characteristics affect the velocity of electromagnetic waves.
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Car 1 has a mass of m1 = 65 ✕ 103 kg and moves at a velocity of v01 = +0.68 m/s. Car 2, with a mass of m2 = 92 ✕ 103 kg and a velocity of v02 = +1.4 m/s, overtakes car 1 and couples to it. Neglect the effects of friction in your answer.
(a) Determine the velocity of their center of mass before the collision
m/s
(b) Determine the velocity of their center of mass after the collision
m/s
(c) Should your answer in part (b) be less than, greater than, or equal to the common velocity vf of the two coupled cars after the collision?
In physics, a collision is an event in which two or more bodies come together in a direct physical contact and exert forces on each other for a relatively short time. During a collision, there is a transfer of energy and momentum between the colliding bodies.
Describe Collision?
There are two types of collisions: elastic and inelastic. In an elastic collision, kinetic energy is conserved, meaning that the total kinetic energy of the system before the collision is equal to the total kinetic energy after the collision. In an inelastic collision, kinetic energy is not conserved, and some of the kinetic energy is transformed into other forms of energy, such as heat or sound.
Collisions can occur between objects of any size, from subatomic particles to astronomical bodies like stars and planets. They are important in various fields of study, such as mechanics, astrophysics, and particle physics. Understanding the physics of collisions is essential for designing safety devices, analyzing traffic accidents, and predicting the behavior of complex systems.
To solve this problem, we can use the conservation of momentum and the fact that the velocity of the center of mass of the two-car system remains constant before and after the collision.
(a) Before the collision, the velocity of car 1 is v01 = +0.68 m/s, and the velocity of car 2 is v02 = +1.4 m/s. The velocity of the center of mass of the two-car system is given by:
v0 = (m1v01 + m2v02) / (m1 + m2)
= (65 ✕ 103 kg ✕ 0.68 m/s + 92 ✕ 103 kg ✕ 1.4 m/s) / (65 ✕ 103 kg + 92 ✕ 103 kg)
= 1.06 m/s
Therefore, the velocity of their center of mass before the collision is 1.06 m/s.
(b) After the collision, the two cars stick together and move with a common velocity vf. The momentum of the system is conserved, so:
m1v01 + m2v02 = (m1 + m2)vf
We can solve for vf:
vf = (m1v01 + m2v02) / (m1 + m2)
= (65 ✕ 103 kg ✕ 0.68 m/s + 92 ✕ 103 kg ✕ 1.4 m/s) / (65 ✕ 103 kg + 92 ✕ 103 kg)
= 1.12 m/s
Therefore, the velocity of their center of mass after the collision is 1.12 m/s.
(c) The velocity of the center of mass of the two-car system remains the same before and after the collision, so it is equal to 1.06 m/s. Since the velocity of the coupled cars after the collision is 1.12 m/s, which is greater than 1.06 m/s, our answer in part (b) is greater than the common velocity of the two coupled cars.
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