A vertical spring gun is used to launch balls into the air. If the spring is compressed by 4.9 cm, the ball of mass 5.5 g is launched to a maximum height 50.2 cm. How much should the spring be compressed to send the ball twice as high?

Answer:

  1.3×10^-6 s = 0.0000013 s

Explanation:

µ is used to stand for "micro-", the SI prefix meaning 10^-6.

  1.3 µs = 1.3×10^-6 s

Answer:

Resistance is inversely proportional to current, so when the resistance doubles, the current is cut in half. Resistance is directly proportional to current, so when the resistance doubles, the current is cut in half.

All the equations of motion are as follows, Displacement (s) equation, Final velocity (v) equation, Average velocity (v_avg) equation, Displacement (s) equation with average velocity, and Displacement (s) equation.

In terms of its motion as a function of time, equations of motion define how a physical system behaves. In more detail, the equations of motion define how a physical system behaves as a collection of mathematical functions expressed in terms of dynamic variables.

In conclusion, equations of motion define how a physical system behaves in terms of how its motion changes over time.

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Answer:

7 protons, 8 neutrons, 7 electrons

Explanation:

Protons, electrons and neutrons are three sub-atomic particles present in an atom. Protons and neutrons are present in the nucleus while electrons are present outside the nucleus.

The number of protons, which is also the ATOMIC NUMBER, is equal to the number of electrons in a neutral atom (no overall charge). In this case, the number of protons is 7, however, since the charge of this Nitrogen atom is 0, it means that the number of electrons is also 7.

The mass number, denoted by A, is the sum of the number of protons and neutrons in an atom i.e.

A = number of proton + number of neutron.

In this case of Nitrogen isotope where the mass number is 15, the number of neutron will be mass number - number of protons i.e. 15 - 7 = 8.

Therefore, the number of protons, neutrons and electrons are 7, 8 and 7 respectively.

To find the order of magnitude we move the decimal point until we have only one interger before it:

Now that we have in this form we conclude that the order of magnitude of the number is 24

Fgrav = 4.90 N; Fnorm = 4.90 N; Fnet = 1.73 N, then the acceleration of the cart is (a) = 3.46 m/s/s,

Acceleration is defined as a vector quantity, the rate at which an object changes its velocity. An object is accelerating if it is changing its velocity. It can be either positive, negative, or zero depending upon the velocity and its direction. Three types of acceleration are Uniform acceleration, non-uniform acceleration, and average acceleration.

Formula

{a} = v - v0/t =Δv/Δ t

{a} = average acceleration

v = final velocity

v_0 = starting velocity

t = elapsed time

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Answer:

What heat means in thermodynamics, and how we can calculate heat using the heat ... Scientists define heat as thermal energy transferred between two systems

Explanation:

thermal energy

The heat released by the aluminum during the process is \(3.6 \times 10^6 \ J\).

The given parameters:

The heat released by the aluminum during the process is calculated as follows;

\(Q = mc \Delta t \\\\Q = 1.5\times 900 \times (2700 - 23)\\\\Q = 3.6 \times 10^6 \ J\)

Thus, the heat released by the aluminum during the process is \(3.6 \times 10^6 \ J\).

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Answer:

0.5 lambda(wavelength)

Explanation:

We know that

The first harmonic for both side open ended pipe is

L= 1/2lambda

So L = 0.5*wavelength

Situation (a) results in a zero net magnetic field at point P. Option 1 is correct.

In situation (a), the two wires are carrying currents in opposite directions. At point P, the magnetic field due to one wire will be in the opposite direction of the magnetic field due to the other wire. Since the two fields are equal in magnitude and opposite in direction, they cancel each other out, resulting in a net magnetic field of zero at point P.

In situations (b), (c), and (d), the currents are either in the same direction or the wires are at different distances from point P. In these situations, the magnetic fields due to the wires do not cancel each other out at point P, resulting in a nonzero net magnetic field. Therefore, only situation (a) gives rise to a zero net magnetic field at point P. Option 1 is correct.

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Answer:

vegetables and legumes or beans

fruit

lean meats and poultry, fish, eggs, tofu, nuts and seeds, legumes or beans

grain (cereal) foods, mostly wholegrain or high cereal fibre varieties

milk, yoghurt, cheese or alternatives, mostly reduced fat.

Explanation:

Foods are grouped together because they provide similar amounts of key nutrients. For example, key nutrients of the milk, yoghurt, cheese and alternatives group include calcium and protein, while the fruit group is a good source of vitamins, especially vitamin C.

The tension T₁ on the left side of the rope is 698 N.

Equilibrium is a State of balance in which opposing forces are balanced, of when there is no net change in system. It is a State of rest or balance due to the equal action of opposing forces.

\($$From equilibrium along $x$ direction$$\begin{aligned}T_1 \sin 15 & =T_2 \cos 10 \\\frac{T_1}{T_2} & =\frac{\cos 10}{\sin 15} \\T_1 & =3.8 T_2\end{aligned}\)

\($$From equilibrium along y direction$$\begin{aligned}T_1 \cos 15+T_2 \sin 10 & =m g \\\left(3.8 T_2\right) \cos 15+T_2 \sin 10 & =(72)(9.8) \\T_2 & =\frac{(72)(9.8)}{(3.8) \cos 15+\sin 10} \\& =183.55 \mathrm{~N} \\& =184 \mathrm{~N}\end{aligned}\)

\($$From equation,$$\begin{aligned}T_1 & =3.8 T_2 \\& =3.8(183.55 \mathrm{~N}) \\& =698 \mathrm{~N}\end{aligned}$$\)

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Complete question:

A 72 Kg Man Is Being Pulled Away From A Burning Building As Shown In The Figure. T1= 15 Degrees On The "Y" Access T2= 10....

Calculate the tension T1 on the left side of the rope, in newtons, if the man is in static equilibrium.

Calculate the tension T2 on the right side of the rope, in newtons, if the man is in static equilibrium.

Answer:

(b) from left to right (→)

Explanation:

Frictional Force

When the surface of one object comes into touch with the surface of another, friction is the force that resists motion. Friction reduces a machine’s mechanical advantage, or, to put it another way, friction reduces the output-to-input ratio. Frictional force refers to the force generated by two surfaces that contact and slide against each other.

Friction is caused due to the irregularities on the two surfaces in contact. So, when one object moved over the other, these irregularities on the surface get entangled, giving rise to friction.

The more the roughness, the more irregularities and more significant will be the friction.

Friction always acts in the opposite direction to the motion, hence the force of friction will be from left to right.

Answer:

You would have to do four times the work W₁ to make the box go the same distance in half the time.

Explanation:

By definition work is:

\( W = F*d \)    (1)

Where:

F: is the force and d: is the distance

On the other hand, the force is given by:              

\( F = ma \)    (2)

By entering equation (2) into (1):

\( W = F*d = m*a*d \)     (3)  

Also, we can express the acceleration in terms of distance and time by using the following kinematic equation:

\( d_{f} = d_{0} + v_{0}t + \frac{1}{2}at^{2} \)    (4)

Where:

\(d_{f}\): is the final distance

\(d_{0}\): is the initial distance = 0

\(v_{0}\): is the initial speed = 0 (the box starts at rest)

t: is the time  

\( d_{f} = \frac{1}{2}at^{2} \)  

Solving for a:

\( a = \frac{2d_{f}}{t^{2}} \)   (5)  

Initially we have:

t = T₁, W = W₁, \(d_{f}\) = d      

\( a_{1} = \frac{2d}{T_{1}^{2}} \)

\( W_{1} = m*a_{1}*d = m*d*\frac{2d}{T_{1}^{2}} = 2m(\frac{d}{T_{1}})^{2} \)

And when the box goes the same distance in half the time:

\( t = \frac{T_{1}}{2} \)    

The acceleration is (from equation 5):

\(a_{2} = \frac{2d_{f}}{t^{2}} = \frac{2d}{(\frac{T_{1}}{2})^{2}} = \frac{8d}{T_{1}^{2}}\)    (6)        

Finally, the work W₂ in terms of W₁ is:

\(W_{2} = m*a_{2}*d = m*d*\frac{8d}{T_{1}^{2}} = 8m(\frac{d}{T_{1}})^{2} = 4*[2m(\frac{d}{T_{1}})^{2}] = 4W_{1}\)    

Therefore, you would have to do four times the work W₁ to make the box go the same distance in half the time.

I hope it helps you!    

Answer: When a disrupted part of the ecosystem is left alone so that nature can help restore itself what people are counting on happening is secondary succession

Explanation:

The metal with the highest heat capacity between metals A.25 B.35 C.10 and D.15 is metal A.

Heat capacity is the amount of heat required to raise the temperature of a substance by one degree Celsius. Metal A has a heat capacity of 400 J/kg°C, which means that it takes 400 joules of heat to raise the temperature of one kilogram of metal A by one degree Celsius.

Metal B has a heat capacity of 285.7 J/kg°C, metal C has a heat capacity of 1000 J/kg°C, and metal D has a heat capacity of 666.7 J/kg°C. Therefore, metal A has the highest heat capacity of the four metals.

Metal A's high heat capacity means that it can absorb a lot of heat without its temperature changing very much. This makes metal A a good material for things like heat sinks and thermal insulation.

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Answer:

The initial speed of the pelican is 8.81 m/s.

Explanation:

Given;

height of the pelican, h = 5.0 m

horizontal distance, X = 8.9 m

The time of flight is given by;

\(t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2*5}{9.81} } \\\\t = 1.01 \ s\)

The initial horizontal speed of the pelican is given by;

X = vₓt

vₓ = X / t

vₓ = 8.9 / 1.01

vₓ = 8.81 m/s

Therefore, the initial speed of the pelican is 8.81 m/s.

The maximum speed of the cart is 26.07 cm/s, the velocity of the cart when the position is 2 cm is 0.141 m/s, and the kinetic and potential energies of the system are 4.97 ×10⁻³J and 4×10⁻³J.

From the given,

Mass of the cart = 0.5 kg

Force constant = 20 N/m

The amplitude of the motion = 3 cm = 0.03 m

A) maximum speed of the cart=?

ω = √k/m

   = √(20/0.5) = 8.944

v = ω×amplitude = 8.944×3 = 26.07 cm/s.

B) Velocity of the cart when the position is 2 cm

v = √k/m(A²-x²)

  = √(20/0.5)((0.03)²-(0.02)²)

 = 0.141 m/s

C) Kinetic energy = 1/2 (mv²)

                        = 1/2 (0.5×(0.141)²)

                        = 4.97 × 10⁻³J

K.E = 4.97 ×10⁻³J

Potential energy = 1/2 kx²

                            = 1/2 (20×(2×10⁻²)²)

                            = 4 × 10⁻³J

P.E = 4 × 10⁻³J.

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When the pressure (100 N) and weight (40 kg) are entered into the appropriate fields, the gravity is 2 m/s².

Force and acceleration are linked by the equation F=ma. The characters "F," "m," and "a" stand for acceleration, mass, and force, respectively. Force is the ability of one object to exert a pull or force on another. Acceleration is the rate at which an object's speed changes.

Speed increase is the pace of progress of speed. Acceleration typically indicates a change in speed, but not always. Because its velocity is changing in the opposite direction, even if an object moves in a circle at the same speed, it will still accelerate.

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At the neutral point, the distance between the Earth's center and the Moon's center is about 399,000 kilometers, or 3.989 x 10⁸ meters.

Planets, stars, and galaxies all move because it is one of the fundamental forces of the universe. According to Newton's law of gravitation, the distance between two objects and their masses determine the magnitude of the gravitational force

We can make use of the fact that the gravitational force between two objects is inversely proportional to the square of the distance between their centers and proportional to the product of their masses to calculate this distance. As a result, we can solve for the distance by setting the force of gravity that the Earth exerts on the object to be equal to the force of gravity that the Moon exerts on the object.

The masses of the Earth and the Moon, M_E and M_M, respectively, and the distance between their centers, d. The following factors determine the Earth's gravitational pull on the object:

F_E is equal to G × M_E × m / (d₂), where m is the mass of the object and G is the gravitational constant. The following factors determine the Moon's gravitational pull on the object:

F_M = G × M_M × m / ((R-d)²)

where R is the distance between the centers of the Earth and Moon

Setting F_E equal to F_M, we get:

G × M_E × m / (d²) = G × M_M × m / ((R-d)²)

Simplifying and solving for d, we get:

d = R × (M_E / (3 × M_M))¹/³

Values for the masses and the radius of the Earth-Moon system (R = 3.844 x 10⁸ meters), we get:

d = 3.989 x 10⁸ meters

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Answer:

Approximately \(2.3 \times 10^{8}\; {\rm m\cdot s^{-1}}\).

Explanation:

The refractive index of a material is inversely proportional to the speed of light in that material.

If the speed of light in a given material is \(v\), the refractive index \(n\) of that material would be:

\(\begin{aligned} n &= \frac{c}{v}\end{aligned}\),

Where \(c \approx 3.00 \times 10^{8}\; {\rm m\cdot s^{-1}}\) is the speed of light in vacuum.

Rearrange this equation to find the speed of light in the given material (ice) given the refractive index of that material:

\(\begin{aligned}v &= \frac{c}{n} \\ &\approx \frac{3.00 \times 10^{8}}{1.3} \; {\rm m\cdot s^{-1}} \\ &\approx 2.3 \times 10^{8}\; {\rm m\cdot s^{-1}}\end{aligned}\).

Answer:

This phase is known as Cytokinesis

The exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

To determine the values of the resistors, we can use Ohm's Law:

Voltage (V) = Current (I) × Resistance (R)

Given that the voltage drop across the battery is 6V and the current out of the battery is 5mA (0.005A), we can calculate the total resistance:

Total Resistance (R_total) = Voltage (V) / Current (I)

R_total = 6V / 0.005A

R_total = 1200 Ω

Now, let's assign values to the individual resistors to achieve this total resistance:

R1 = 220 Ω

R2 = 470 Ω

R3 = 330 Ω

R4 = 680 Ω

R5 = 820 Ω

R6 = 350 Ω

With these values, the total resistance of the circuit would be:

R_total = R1 + (R2 || R3) + (R4 || R5) + R6

R_total = 220 Ω + (470 Ω || 330 Ω) + (680 Ω || 820 Ω) + 350 Ω

R_total ≈ 220 Ω + 214.8 Ω + 351.5 Ω + 350 Ω

R_total ≈ 1136.3 Ω

The slight deviation from the exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

Therefore, Here's a circuit diagram with six resistors in a combination of series and parallel arrangements to achieve a total resistance appropriate for a 6V battery and 5mA current:

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"A dog ate an apple" is an example of Correspondence Theory of truth.

Correspondence Theory of truth states that what one believes or says is truth if corresponds to the actual facts ( the way things are in reality ). In detail it can be expressed as a theory that exists in agreement between propositions and existing reality.

The example mentioned here is "A dog ate an apple". For this judgement to be true according to Correspondence Theory of truth, there needs to be a world in which a dog and an apple exists and the dog physically eating an apple.

Therefore, "A dog ate an apple" is an example of Correspondence Theory of truth.

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Answer:

A. The horizontal component of the hammer's velocity just as it leaves the roof can be calculated by multiplying the velocity of the hammer by the cosine of the angle of the roof with the horizontal:

Vhorizontal = V * cos(45) = 4.5 m/s * cos(45) = 3.16 m/s

B. The vertical component of the hammer's velocity just as it leaves the roof can be calculated by multiplying the velocity of the hammer by the sine of the angle of the roof with the horizontal:

Vvertical = V * sin(45) = 4.5 m/s * sin(45) = 3.16 m/s

Explanation:

5- all of the above

Wellness, which I assume is what you mean by a healthy lifestyle (trust me, it is) benefits all of the aspects of health, as wellness is a continuum.