how much work does an electric bulb rated 40 watt do in one second ?​

It increases

Explanation:

The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between object

Answer:

C: Gravity decreases

Explanation:

The velocity of the third piece is v₃ = -12500 kg·m/s / m₃

The law of conservation of momentum states that the total momentum before the explosion is equal to the total momentum after the explosion.

velocity of the third piece =  v₃.

The total initial momentum before the explosion = 0

The total final momentum after the explosion= 0

Initial momentum = 0 kg·m/s (since the bomb is at rest)

Final momentum = m₁v₁ + m₂v₂ + m₃v₃

m₁ = mass of the first piece = 150 kg

v₁ = velocity of the first piece = 150 m/s (to the east)

m₂ = mass of the second piece = 100 kg

v₂ = velocity of the second piece = 200 m/s (south 60° west)

m₃ = mass of the third piece = unknown

v₃ = velocity of the third piece = unknown

0 = (150 kg)(150 m/s) + (100 kg)(200 m/s)(cos(60°)) + (m₃)(v₃)

final momentum = 0 and hence  v₃ is found as :

0 = 22500 kg·m/s - 10000 kg·m/s + (m₃)(v₃)

-12500 kg·m/s = (m₃)(v₃)

v₃ = -12500 kg·m/s / m₃

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Given data:

The mass of cockroch is m.

The mass of disk is 5m.

The initial speed of cockroch and disk is ω=0.26 rad/s.

Considering the radius of the disk is r, then the halfway radius of the disk will be r/2.

Part (a)

The final angular velocity can be calculated as,

Thus, the final speed is 1.04 rad/s.

Part (b)

The ratio of kinetic energy can be calculated as,

Thus, the ratio of kinetic energy is 7.42.

Answer:

it won't move unless it has momentum

Explanation:

Answer:

(a) 4.83 seconds

(b) 167.3m

(c) 40m

Explanation:

This is a two-dimensional motion. Therefore, the components of the initial velocity - \(u_X\) and \(u_Y\) - in the x and y directions are given as follows:

\(u_X\) = u cos θ                 --------------(*)

\(u_Y\) = u sin θ                -------------(**)

Where

θ = angle of projection

(a) To calculate the time taken for the apple to strike the ground.

For simplicity, let's first calculate the maximum height H reached by the apple.

Using one of the equations of motion as follows, we can find H:

v² = u² + 2as               ---------------(i)

Where;

v = velocity at maximum height = 0 [at maximum height, velocity is 0]

u = initial vertical velocity of the apple = \(u_Y\)

=> u = \(u_Y\) = u sin θ

=> \(u_Y\) = 40 sin 30°

=> \(u_Y\) = 40 x 0.5

=> \(u_Y\) = 20 m/s

a = acceleration due to gravity = -g [apple moves upwards against gravity]

a = -10m/s²

s = H = maximum height reached from the top of the building

Substitute these values into equation (i) above to have;

0² = \(u_Y\)² + 2aH

0² = (20)² + 2(-10)H

0 = 400 - 20H

20H = 400

H = 20m

The total time taken to strike the ground is the sum of the time taken to reach maximum height and the time taken to strike the ground from maximum height.

=>Calculate time t₁ to reach maximum height.

Using one of the equations of motion, we can calculate t₁ as follows;

v = \(u_Y\)  + at                ---------------(ii)

Where;

v = velocity at maximum height = 0

u = initial vertical velocity of the apple = \(u_Y\)

a = -g = -10m/s²           [acceleration due to gravity is negative since the apple is thrown upwards to reach maximum height]

t = t₁ = time taken to reach maximum height.

Equation (ii) then becomes;

0 = 20  + (-10)t₁

10t₁ = 20

t₁ = 2 seconds

=>Calculate time t₂ to strike the ground from maximum height.

Now, using one of the equations of motion, we can calculate the time taken as follows;

Δy = \(u_Y\) t + \(\frac{1}{2}\)at                ---------------(iii)

Where;

Δy = displacement from maximum height to the ground = maximum height from top of building + height of building = 20 + 20 = 40m

a = g = 10m/s²            [acceleration due to gravity is positive since the apple is now coming downwards from maximum height]

t = t₂    [time taken to strike the ground from maximum height]

\(u_Y\) = initial vertical velocity from maximum height = 0

\(u_Y\) = 0

Equation (iii) then becomes

40 = 0t + \(\frac{1}{2}\)(10)t₂²

40 = 5t₂²            [divide through by 5]

8 = t₂²

t₂ = ±\(\sqrt{8}\)

t₂ = ±\(2\sqrt{2}\)

t₂ = +2\(\sqrt{2}\) or -2\(\sqrt{2}\)

since time cannot be negative,

t₂ = 2\(\sqrt{2}\) = 2.83 seconds

Therefore, the time taken for the apple to strike the ground is;

t₁ + t₂ = 2 +  2.83 = 4.83 seconds

(b) The distance from the foot of the building where the apple will strike the ground

Since this is the horizontal distance, we use the horizontal version of equation (iii) as follows;

Δx = \(u_X\) t + \(\frac{1}{2}\)at       -----------(v)

Where

Δx = distance from the foot of the building to where the apple strikes the ground.

\(u_X\) = initial horizontal velocity of the apple as expressed in equation (*)

\(u_X\) = 40 cos 30

\(u_X\) = 34.64 m/s

t = time taken for the motion of the apple = 4.83 seconds [calculated above]

a = acceleration due to gravity in the horizontal direction = 0. [For a projectile, there is no acceleration in the horizontal direction since velocity is constant]

Substitute these values into equation (v) as follows;

Δx = \(u_X\) t + \(\frac{1}{2}\)(0)t

Δx = 34.64 x 4.83

Δx = 167.3 m

Therefore, the distance from the foot of the building is 167.3m

(c) The maximum height reached by the apple from the ground

This is the sum of the height reached from the top of the building (20m which has been calculated in (a) above) and the height of the building.

= 20m + 20m = 40m

Answer:

i had this question as well!

Explanation:

Answer:

1. to the Mystic 2. A Theme or social value 3. Something that can be valued 4. Can’t be observed/ Noticed.

Explanation:

Answer:

the acceleration of gravity.

Answer:

g stand for the acceleration of gravity .

Explanation:

Answer:

a increases

Explanation:

as distance between two objects increases the gravitational force decreases so when distance decreases the gravitational force increases

Answer:

40.0

Explanation:

\(\int^{10}_{2} f(x) \text{ } dx \approx 2f(2)+3f(4)+2f(7)+f(9) \\ \\ =2(0)+3(3)+2(8)+15 \\ \\ =0+9+16+15 \\ \\ =40\)

Answer:

1737 kilometers

Answer:

61.33 Kg

Explanation:

From the question given above, the following data were obtained:

Distance = 1×10² m

Time = 9.5 s

Kinetic energy (KE) = 3.40×10³ J

Mass (m) =?

Next, we shall determine the velocity Leroy Burrell. This can be obtained as follow:

Distance = 1×10² m

Time = 9.5 s

Velocity =?

Velocity = Distance / time

Velocity = 1×10² / 9.5

Velocity = 10.53 m/s

Finally, we shall determine the mass of Leroy Burrell. This can be obtained as follow:

Kinetic energy (KE) = 3.40×10³ J

Velocity (v) = 10.53 m/s

Mass (m) =?

KE = ½mv²

3.40×10³ = ½ × m × 10.53²

3.40×10³ = ½ × m × 110.8809

3.40×10³ = m × 55.44045

Divide both side by 55.44045

m = 3.40×10³ / 55.44045

m = 61.33 Kg

Thus, the mass of Leroy Burrell is 61.33 Kg

Answer:

1 the digestive system thats all

The distance that a body in free fall falls each second is (A). is about 9.8m is correct option.

The distance that a body in free fall falls each second is about 9.8 meters, which is equivalent to the acceleration due to gravity on the Earth's surface.

This means that in the absence of air resistance, an object dropped from a certain height will fall 9.8 meters during the first second, 19.6 meters during the second second, 29.4 meters during the third second, and so on. The distance increases as time passes, but not at a constant rate, as it is being affected by the acceleration due to gravity.

Therefore, the correct option is (a) .

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Answer:

Emergent curriculum is an early education approach where teachers design projects unique to a child or group of kids.

Answer:

I cannot fully see the picture, but I'm going to have to tell you to go with towards the sun because it says summer.

The vector field that expresses the density of induced or permanent electric dipole moments in a dielectric medium is known as polarization density (also known as electric polarization or just polarization).

Thus, A dielectric is considered to be polarized when its molecules acquire an electric dipole moment when exposed to an external electric field.

Electric polarization of the dielectric is the term used to describe the electric dipole moment induced per unit volume of the dielectric material.

The forces that emerge from these interactions can be calculated using the polarization density, which also defines how a material reacts to an applied electric field and how it modifies the electric field. It is comparable to magnetization, which measures a material's equivalent response.

Thus, The vector field that expresses the density of induced or permanent electric dipole moments in a dielectric medium is known as polarization density (also known as electric polarization or just polarization).

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The spaces labeled 1 through 14 in the diagram using the following terms are:

Plate tectonics is the scientific theory that explains the large-scale motions of Earth's lithosphere (the outermost layer of the Earth) and the processes that cause these motions. The lithosphere is divided into a number of large plates that move relative to each other over the asthenosphere, the more plastic, ductile, and weaker layer below the lithosphere.

Plate tectonics explains a variety of geologic phenomena, including the formation of mountains, earthquakes, volcanoes, and the distribution of continents and oceans. According to this theory, the lithospheric plates move due to the motions of convection cells in the Earth's mantle, which is the layer below the asthenosphere.

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The relative velocity is 17m/s.

The relative velocity of the passenger relative to the ground can be found by applying the concept of relative motion.

speed of bus (vb)=12m/s

speed of passenger inside the bus(vp)= 5m/s opposite to the speed of bus

speed of passenger relative to the ground = v

v= vb+vp

v= 12+(-5), since passenger is traveling in opposite direction

v=7m/

Therefore, the velocity of passenger relative to the ground is 7m/s.

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If the impulse is strong enough and lasts for a sufficient amount of time, the go-kart will eventually come to a stop.

Option A is correct.

impulse is described as the integral of a force, F, over the time interval, t, for which it acts. Since force is a vector quantity, impulse is also a vector quantity.

If the force is insufficient to stop the go-kart entirely, it will slow down but continue to move. The force and duration of the impulse, along with the mass and speed of the go-kart, will all affect how much deceleration occurs.

Given that momentum plus impulse equals zero, the go-kart's change in momentum as a result of the impulse will be equal in amount but will move in the opposite direction of its original momentum.

As a result, the go-kart's final momentum will be zero, suggesting that it has either stopped or is travelling very slowly.

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Answer: D

Explanation: because

In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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Answer:

The reason that the nucleus of most atoms does not fall apart despite the oppositely charged protons exerting a repulsive force on each other is the strong nuclear force.

The strong nuclear force is one of the fundamental forces in nature that acts between protons and neutrons in the atomic nucleus. It is a short-range force that is much stronger than the electromagnetic force (which produces the repulsion between protons).

The strong nuclear force is responsible for holding the nucleus together.

Additionally, the ratio of protons to neutrons in a nucleus also affects its stability. Therefore, if there is an imbalance in this ratio, the repulsive force between the protons can become too strong, causing the nucleus to become unstable and undergo radioactive decay.

Overall, the nucleus remains stable due to the balance between the strong nuclear force and the repulsive force between the protons.

Given :

To Find :

The falling apple's kinetic energy, gravitational potential energy, and total mechanical energy.

Solution :

We can use the conservation of energy principle to find the apple's kinetic energy, gravitational potential energy, and total mechanical energy at the height of 3.0m above the ground.

First, we need to find the gravitational potential energy (GPE) of the apple when it is at the height of 4.0m above the ground:

GPE = mgh

where m is the mass of the apple, g is the acceleration due to gravity (9.81 m/s^2), and h is the height above the ground.

So, GPE = (0.21 kg) x (9.81 m/s^2) x (4.0 m) = 8.2266 J

Next, we find the apple's kinetic energy (KE) just before it hits the ground. We can use the conservation of energy principle, "which states that a system's total mechanical energy is conserved (i.e., it remains constant) if no external forces are acting on it." In this case, gravity is the only force acting on the apple, an internal force within the system (i.e., the apple and the Earth).

So, at the height of 3.0m above the ground, the total mechanical energy (TME) of the system is:

TME = GPE + KE

Since the apple is falling freely, we can assume that all of its potential energy at the height of 4.0m has been converted into kinetic energy just before it hits the ground. Therefore, at the height of 3.0m above the ground, the GPE is:

GPE = (0.21 kg) x (9.81 m/s^2) x (3.0 m) = 6.1359 J

Using the conservation of energy principle, we can find the kinetic energy just before the apple hits the ground:

TME = GPE + KE

KE = TME - GPE = (0.21 kg) x (9.81 m/s^2) x (4.0 m) - 6.1359 J = 2.0907 J

Therefore, the kinetic energy of the apple just before it hits the ground is 2.0907 J.

To summarize:

Gravitational potential energy (GPE) of the apple at a height of 4.0m above the ground: 8.2266 J

Gravitational potential energy (GPE) of the apple at a height of 3.0m above the ground: 6.1359 J

Kinetic energy (KE) of the apple just before it hits the ground: 2.0907 J

The system's total mechanical energy (TME) is conserved throughout the fall.

A. We deduce here that the resistance of the copper wire at 20°C is 7.58 Ω.

B. The new temperature =  20.833°C.

The resistance of a wire is:

R = ρL/A

where:

R is the resistance in ohms

ρ is the resistivity of the material in ohm-meters = 1.72 x 10-8 Ωm

L is the length of the wire in meters = 200 m

A is the cross-sectional area of the wire in square meters = πr² = π(0.25 mm)² = 4.909 x 10^-7 m²

Thus,

R = 1.72 x 10-8 Ωm x  200 m / 4.909 x 10^-7 m² = 7.58 Ω

B. The new temperature:

The temperature coefficient of resistance (α) is a measure of how much the resistance of a material changes with temperature.

For aluminum, α = 0.0039/°C. This means that for every 1°C increase in temperature, the resistance of aluminum increases by 0.0039 Ω.

T = 20°C + (900 Ω - 600 Ω) / 600 Ω α

T = 20°C + (300 Ω) / (600 Ω) (0.0039/°C)

T = 20°C + 0.0065°C

T = 20.833°C

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Answer:

Most likely (B)

Explanation:

B in the passage is the most representative out of all your choices and it has evidence from the passage  

Hope dis helps Jit!

Sorry i forgot to type C

B and C both measure mass while the others are calculations and are bias

The following experimental set-ups would allow a student to calculate the magnitude of the gravitational field strength using only the quantities measured:

A gravitational field is a model used in physics to explain the effects that a large thing has on the area surrounding it, exerting a force on smaller, less massive bodies.

When  a known mass from a spring scale is hung; by e; measuring the spring scale reading when the mass is at rest, the magnitude of the gravitational field strength ( reading/mass) can be calculated.

When  a heavy metal ball is dropped, by measuring e the drop height and the time it takes the ball to hit the ground, the magnitude of the gravitational field strength ( h = gt²/2) can be calculated. Hence, option (B) and option (D) is correct.

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Answer:

 v = 29.4 m / s

Explanation:

For this exercise we can use the conservation of mechanical energy

Lowest starting point.

          Em₀ = K = ½ m v²

final point. Higher

          \(Em_{f}\) = U = m g h

Let's use trigonometry to lock her up

          cos 60 = y / L

          y = L cos 60

Height is the initial length minus the length at the maximum angle

           h = L - L cos 60

           h = L (1- cos 60)

energy is conserved

         Em₀ = Em_{f}

          ½ m v² = mgL (1 - cos 60)

         v = 2g L (1- cos 60)

let's calculate

          v² = 2 9.8 3.0 (1- cos 60)

          v = 29.4 m / s

Answer:

A

Explanation:

electric force

The electrostatic force between the moon and the planet can be neglected. Hence, option (A) is correct.

The given problem is based on the comparison between the gravitational force and electrostatic force. Consider the two bodies as moon and a planet such that the force exerted between the moon and the planet is given as,

\(F_{g}=\dfrac{G\times M \times m}{r^{2}}\) ..................................................(1)

Here, G is the gravitational constant, M is the mass of moon, m is the mass of planet and r is the distance between the moon and the planet.

And the electrostatic force is the force between the two charged entities on moon and the planet. So, it is given as,

\(F_{e}=\dfrac{k \times Q \times q}{r^{2}}\) ....................................................(2)

Here, k is the Coulomb's constant, Q is the charge entity at moon and q is the charged entity on planet.

The forces obtained in equation (1) and (2) depends on the masses and charges, which clearly signifies that the masses have more numerical value than charges, hence the electrostatic force will leave much lesser influence than gravitational force. So, it can be neglected.

Thus, we conclude that the electrostatic force between the moon and the planet can be neglected. Hence, option (A) is correct.

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With the use of below formula, at 879 °C,  velocity will be double the velocity at 15 °C.

The velocity of sound waves in air is proportional to the square root of Thermodynamic temperature. That is, V = K\(\sqrt{T}\)

Given that the temperature at which the velocity of sound in air is twice its velocity at 15°C, Let us make use of the formula;

(v2/v1) = √(T2 / T1)

Where

Recall that absolute temperature = °C + 273.

If v2 = 2 × v1 and temperature in degree Celsius = 15°C, then,

Temperature in Kelvin K = 15 + 273 = 288

Substitute all the parameters into the formula

(2 × v1)/v1 = √(T2/288)

2 = √ (T2 /288)

Square both sides

4 = (T2/288)

T2 = 4 × 288

T2 = 1152K

Temperature in degrees Celsius = 1152 - 273 = 879 °C.

Therefore, at 879 °C,  velocity will be double the velocity at 15 °C.

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