Explanation:
Force of gravity = G m1 m2 / r2
now double 'r'
Force = G m1 m2 / (2r) ^2
Force = 1/4 G m1 m2 / r^2 <=====this is 1/4 of the original force of gravity
A 2MeV proton is moving perpendicular to a uniform magnetic field of 2.5T. the force of proton is
The force experienced by the 2MeV proton moving perpendicular to a uniform magnetic field of 2.5T can be calculated using the formula for magnetic force.
1. Determine the charge of the proton: A proton has a charge of +1.6 x [tex]10^{-19[/tex] Coulombs.
2. Calculate the velocity of the proton: The kinetic energy of the proton is given as 2MeV. Since 1 MeV is equal to 1.6 x [tex]10^{-13[/tex] Joules, the kinetic energy can be converted to Joules: 2 MeV = 2 x 1.6 x [tex]10^{-13[/tex] J = 3.2 x [tex]10^{-13[/tex] J.
The kinetic energy of a particle is given by the equation KE = (1/2)[tex]mv^2[/tex], where m is the mass and v is the velocity of the particle. The mass of a proton is approximately 1.67 x [tex]10^{-27[/tex] kg. Rearranging the equation, we can solve for v: v = sqrt((2 x KE) / m) = sqrt((2 x 3.2 x [tex]10^{-13[/tex] J) / (1.67 x [tex]10^{-27[/tex] kg)) ≈ 1.8 x [tex]10^7[/tex] m/s.
3. Calculate the magnetic force: The formula for the magnetic force on a charged particle moving through a magnetic field is given by the equation F = qvBsinθ, where q is the charge of the particle, v is the velocity, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.
Since the proton is moving perpendicular to the magnetic field, θ = 90 degrees. Plugging in the values, we have F = (1.6 x [tex]10^{-19[/tex] C) x (1.8 x [tex]10^7[/tex]m/s) x (2.5 T) x sin(90°). The sine of 90 degrees is equal to 1, so the force can be simplified to F = (1.6 x [tex]10^{-19[/tex] C) x (1.8 x [tex]10^7[/tex] m/s) x (2.5 T) = 7.2 x [tex]10^{-12[/tex] N.
Therefore, the force experienced by the 2MeV proton moving perpendicular to the uniform magnetic field of 2.5T is approximately 7.2 x 10^-12 Newtons.
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A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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a compound having 44 total atoms consists of 11 atoms of element x and 33 atoms of element y find the % element x in the compound
A. 11%
B. 33%
C. 25%
D. 44%
E. 22%
The % element x in the compound is option c.25%.
To find the percentage of element X in the compound, we need to calculate the ratio of the number of atoms of element X to the total number of atoms in the compound and then convert it to a percentage.
Given:
Total number of atoms = 44
Number of atoms of element X = 11
To calculate the percentage, we can use the following formula:
Percentage of element X = (Number of atoms of element X / Total number of atoms) * 100
Substituting the given values, we get:
Percentage of element X = (11 / 44) * 100
Simplifying the equation, we have:
Percentage of element X = 0.25 * 100
Percentage of element X = 25%
Therefore, the percentage of element X in the compound is 25%.
The correct answer is option C. 25%.
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Voltage
Depends on the amount of resistance
Depends on the amount of current
Is the measurement of electrical pressure
All of the above
Voltage depends on the amount of resistance, current according to the Ohm's law, and, by definition, is the measurement of electrical pressure.
According to the Ohm's Law, the current through a conductor between two points is directly proportional to the voltage across the two points.
Mathematically,
V ∝ I
V = IR
where, R is the resistance of the conductor and I is the current flowing in the conductor. So, the voltage depends on the amount of resistance and current.
Also, Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.
Hence All of the above option in the given question are true.
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A rocket has been fired upward to launch a stellite in its orbit name two forces acting on the rocket immediately after leaving the launching pad
Two forces acting on the rocket immediately after leaving the launching pad are the gravitational force and the thrust force.
1. Gravitational Force: The gravitational force is the force exerted by the Earth on the rocket due to their mutual gravitational attraction. It acts downward and is responsible for the rocket's weight.
This force can be represented by the equation Fg = mg, where Fg is the gravitational force, m is the mass of the rocket, and g is the acceleration due to gravity. The gravitational force acts to pull the rocket downward, opposing its upward motion.
2. Thrust Force: The thrust force is the force generated by the rocket's engines as they expel exhaust gases in the opposite direction. It acts upward and propels the rocket forward.
The magnitude of the thrust force depends on factors such as the design of the rocket engines, the amount of fuel burned, and the rate of exhaust gas expulsion. The thrust force must be greater than or equal to the gravitational force for the rocket to overcome Earth's gravity and achieve upward acceleration.
Initially, when the rocket is launched, the thrust force is at its maximum while the gravitational force remains constant. As the rocket gains altitude, the gravitational force decreases slightly due to the increasing distance from the Earth's center.
However, the thrust force continues to be the dominant force propelling the rocket upward.
It's important to note that other forces such as air resistance and wind may also act on the rocket, but immediately after leaving the launching pad, these forces are typically negligible compared to the gravitational force and thrust force.
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Do this question by electric flux
A conducting sphere of radius 10cm has an unknown charge. If the electric field 20 cm from the centre of the sphere is [tex]1.5*10^{3}[/tex] N/C and points radially inwards what is the net charge on the sphere.
Answer:
To find the net charge on the sphere using electric flux, we can use the formula:
Φ = Q/ε0
Where Φ is the electric flux, Q is the charge, and ε0 is the permittivity of free space.
Given that the electric field 20 cm from the center of the sphere is N/C and points radially inwards, we can use the formula for electric field due to a charged sphere to find the charge on the sphere:
E = kQ/r^2
Where E is the electric field, k is Coulomb's constant, Q is the charge, and r is the distance from the center of the sphere.
Substituting the given values, we get:
20 = (1/4πε0)(Q)/(0.2)^2
Solving for Q, we get:
Q = (20)(0.2)^2(4πε0)
Q = 0.64πε0 C
Now, substituting this value of Q in the formula for electric flux, we get: Φ = Q/ε0 = (0.64πε0)/(ε0) = 0.64π C
Therefore, the net charge on the sphere is 0.64π C.
Matter can undergo chemical reactions which feature of the components only stays the same in chemical reactions
In chemical reactions, the total mass of the components remains the same.
Chemical reactions involve the transformation of substances into new substances with different chemical properties. During these reactions, various changes occur, such as the rearrangement of atoms, the breaking and forming of chemical bonds, and the conversion of reactants into products. However, one fundamental principle that remains constant is the law of conservation of mass.
The law of conservation of mass states that matter cannot be created or destroyed in a chemical reaction. This means that the total mass of the reactants must be equal to the total mass of the products. No matter can be lost or gained during the reaction; it simply undergoes a rearrangement at the atomic or molecular level.
This principle holds true regardless of the complexity of the chemical reaction. Whether it involves simple reactions between two elements or complex reactions with multiple reactants and products, the total mass before and after the reaction remains constant.
This concept is vital in understanding stoichiometry, which is the quantitative relationship between reactants and products in a chemical reaction. By balancing chemical equations and applying the law of conservation of mass, scientists can determine the relative amounts of substances involved in a reaction.
Overall, while the physical and chemical properties of substances may change during a chemical reaction, the total mass of the components involved in the reaction remains constant.
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