A rock in space travels in the x direction with a speed of 6 m/s and collides with an identical rock at rest. After the collision, the first rock is traveling at 4 m/s at an angle of 60 degrees with respect to the x axis. What is the speed of the second rock after the collision, in m/s

Answer:

6.71 meters per second squared

Explanation:

Speed vs velocity

Average acceleration is defined as the rate of change of velocity per unit of time.

Velocity is a vector, a quantity that has both direction and magnitude (size).  In this case, the cheetah is not changing directions, so we can ignore vector directions, and treat velocity as just speed.

[tex]a=\dfrac {\Delta v}{\Delta t}[/tex]

Analyzing units

The units of the acceleration requested are meters per second squared, and the units of speed and time are measured in meters per second, and seconds.

The units all match, so we just need to substitute and calculate/simplify

Calculations

[tex]a=\dfrac{(28.5[\frac {m}{s}])}{(4.25[s])}[/tex]

[tex]a=6.70588235294...[\frac {m}{s^2}][/tex]

Accounting for significant figures, the acceleration is 6.71 meters per second squared.

Answer:

True - Archimedes Principle states that the buoyant force on an object is equal to the weight of the liquid displaced.

A. The momentum of the boat, given the data is 3240 Kg.m/s

B. The new velocity of the boat is 11.93 m/s

Momentum is defined as the product of mass and velocity. It is expressed as

Momentum = mass × velocity

This is defined as the change in momentum of an object.

Impulse = change in momentum

Impulse = final moment – Initial momentum

Imulpse = m(v - u)

Momentum = mass × velocity

Momentum = 540 × 6

Momentum = 3240 Kg.m/s

Imulpse = m(v - u)

3200 = 540 × (v - 6)

Divide both sides by 540

v - 6 = 3200 / 540

v - 6 = 5.93

Collect like terms

v = 5.93 + 6

v = 11.93 m/s

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The radius of the electron's path is once it enters the magnetic field 3.16*10^-4 m.

The electric capacity difference, additionally called voltage, is the outside work needed to bring a rate from one region to some other area in an electric discipline. The electric powered capacity distinction is the change of potential electricity skilled by way of a test rate that has a fee of +1.

The distinction in ability among two points represents the paintings worried or the electricity released in the switch of a unit amount of power from one factor to the other.

Electric ability is the work executed in step with unit fee in bringing the fee from infinity to that factor against electrostatic pressure. In a conductor, electrons float simplest when there is a difference in electric stress at its ends. This is additionally known as the capacity distinction.

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List of things that could affect your body weight:

Answer:

mass and gravity

Explanation:

From a PHYSICS standpoint:

mass   and gravity   determine the weight of a body

Answer:

volume

Explanation:

Identical size means volume will be the same in each calculation of

density =   mass / volume

Stars that have ejected a planetary nebula go on to become white

 dwarfs.

As we know planetary nebula is a type of glowing shell of ionized gases and there are various stages for the formation of stars. Stars are formed when dispersed matter in gaseous form starts coalescing together under the force of gravity into a compact object. Gravity continuously tries to shrink the object and during this process, the density and temperature inside the star rises.

The fate of the star depends critically on its mass. For stars with mass less than 1.4 solar masses of sun collapse into an extremely dense compact object called "white dwarf". Electron degeneracy pressure is responsible for counterbalancing the inward gravitational force in "white dwarf".

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Explanation:

the density of liquid x is 40g and a bottle full of water has the density of 70g find the density of liquid x (d=1g/cm3)

To find the accurate measurement of small cars, the teacher asks students to make all the measurements in centimeters.

Centimeters Measurements:

Inches measurements:

here, the cars are small objects.

The number of centimeters is always bigger,

because a centimeter unit is smaller than an inch unit, and it takes more of them when we are measuring.

Hence,

To find the accurate measurement of small cars, the teacher asks students to make all the measurements in centimeters.

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From the calculations, the volume of the gas is obtained as 9.3 L

The gas laws show the relationship between the volume, pressure, temperature and the number of moles of a gas.

Given that;

V1 = 10 L

T1 =  0 ºC + 273 = 273 K

V2 = ?

T2 =  -20 ºC + 273 = 253 K

It then follows that;

V1/T1 = V2/T2

V1T2 = V2T1

V2 = V1T2/T1

V2 = 10 L * 253 K/273 K

V2 = 9.3 L

If the gas were to be hydrogen, the volume of the gas will decrease even further,

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The acceleration of the car that came to a stop from a speed of 16 m/s in a time of 2.3 seconds is -6.96m/s² (option D).

The acceleration of a moving substance can be calculated by dividing the change in velocity of the substance by the time.

Acceleration (a) = ∆V/t

Where;

a = -16m/s ÷ 2.3s

a = -6.96m/s²

Therefore, the acceleration of the car that came to a stop from a speed of 16 m/s in a time of 2.3 seconds is -6.96m/s².

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The rotational inertia of the combination is 21.5kg m2

Given that mass of ring = 10kg , outer radius 1.5 m and   inner radius 1.2 m

Radius of ring = ½(1.5+1.2) =1.35m

Mass of solid sphere=8kg

Radius of sphere =1.2m

A combination rotational inertia of ring and solid sphere is addiction of rotation inertia of ring and solid sphere

Rotational inertia of ring Ir=MR^2

Rotational inertia of solid sphere Is=2/5MR^2

Combination rotational inertia of ring and solid sphere

I=Ir+Is

=M1R^2+2/5M2R^2

=(10)(1.3^2)+⅖(8)(1.2^2)

=16.9+4.608

=21.5kg m2

Hence the rotational inertia of the combination is 21.5kg/m^2

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The magnetic field is the type of zone that receives magnetic force. It can have a strength of 0.00122 T.

Provided that,

radius, r = 0.7 cm = 0.007 m

current, I = 125 A

position considered, x = 0.13 cm = 0.0013

[tex]B=u_{0}Ix/4\pi r^{2}[/tex]

⇒[tex]B=4\pi* 10^{-7} *125 * 0.0013 / 4\pi (0.007)^{2}[/tex]

⇒[tex]B=0.00033[/tex] T

So, the value of the magnetic field = 0.00033 T

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The temperature of the plasma will increase as current is passed through it.

Current can be defined as a flow of charged particles through a medium and the particles includes: electrons or ions.

Temperature is the degree of hotness or coldness experienced by a material.

The more current passes through the plasma the more energy is induced making the particles to move faster which in turns causes temperature to increase and reducing the resistance of the plasma.

In conclusion, The current causes temperature to increase and this reduces the resistance.

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B. The force of X on Y is is approximately 13 N [right].

The action-reaction forces that the blocks exert on each other is calculated as follows;

Net force on the blocks = 40 N - (8 N + 4 N) = 28 N

Total mass of the blocks = 10 kg + 5 kg = 15 kg

a = F(net)/M

a = 28 N / 15 kg

a = 1.867 m/s²

40 N - 8N - T = 10 x 1.867

T = 13.33 N

40 N - 4N - T = 5 x 1.867

T = 26.67 N

Thus, the force of X on Y is is approximately 13 N [right].

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The speed of the stone upon impact with the ground [tex]{V_f}={V_o} (\frac{w-f}{w+f})^{\frac{1}{2}}[/tex]

The initial speed = [tex]{V_o}[/tex]

Acceleration

Acceleration when ball is moving upward = (w + f)/m

[tex]$\mathrm{V}_{\mathrm{f}}^{2}-\mathrm{V}_{\mathrm{i}}^{2}=2 \overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{s}}$[/tex]

[tex]$=0-\mathrm{V}_{0}^{2}=-2 \mathrm{~s}\left(\frac{\mathrm{w}+\mathrm{f}}{\mathrm{m}}\right)$[/tex]  ..... (i)

[tex]$\mathrm{s}=\frac{\mathrm{V}_{0}^{2}}{2\left[\frac{\mathrm{w}+\mathrm{f}}{\mathrm{m}}\right]}$[/tex]

While coming down

[tex]{V_i=0}[/tex]

[tex]$\mathrm{V}_{\mathrm{f}}^{2}-\mathrm{V}_{\mathrm{i}}^{2}=2 \overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{s}} ; \mathrm{a}=(\mathrm{w}+\mathrm{f})$[/tex]

[tex]$\mathrm{V}_{\mathrm{f}}=\sqrt{\frac{2 \times(\mathrm{w}-\mathrm{f}) \mathrm{V}_{0}^{2}}{2(\mathrm{w}+\mathrm{f})}}$[/tex]

[tex]$\mathrm{V}_{\mathrm{f}}=\mathrm{V}_{\circ}\left(\frac{\mathrm{w}-\mathrm{f}}{\mathrm{w}+\mathrm{f}}\right)^{1 / 2}$[/tex]

The speed of the stone upon impact with the ground

[tex]$\mathrm{V}_{\mathrm{f}}=\mathrm{V}_{\circ}\left(\frac{\mathrm{w}-\mathrm{f}}{\mathrm{w}+\mathrm{f}}\right)^{1 / 2}$[/tex]

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Option (d) All of these is correct.

In an automatic AWD vehicle, normally one axle receives all the torque; when slippage occurs, 50 percent of the torque can be sent to the other axle by hydraulic, mechanical and electrical means.

AWD vehicle stands for All-wheel drive vehicle.

A vehicle with all-wheel drive (AWD) has a powertrain that can drive all of its wheels, either continuously or as needed.

When we say the torque distribution is 50/50 "in normal conditions," we imply that the moment of force applied to the front and rear wheels is equal when all wheels have the same adhesion.

In an automatic AWD vehicle normally one axle receives all the torque and sent to other axle by hydraulic, mechanical and electrical means.

So that's why when the spillage occurs, 50% of the torque can be sent to the other axle also by hydraulic, mechanical and electrical means.

Hence, Option (d) All of these is correct.

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Answer:

The answer is B, 1 mile

Explanation:

60 (minutes) ÷ 3 (mph) = 20, which means every 20 minutes you are traveling 1 mile

Answer:

If u mean a comet, then Edmund Halley should be the person you're looking for.

Answer:

i)[tex]0m/s^{2}[/tex]

ii)20m/s

iii)300m

Explanation:

In this Velocity-Time graph,

i) The acceleration can be found by finding the slope of the graph, which in this case, since it is a horizontal line, the slope = 0 therefore the acceleration = [tex]0m/s^{2}[/tex]

ii)The velocity can be found on the y-axis, in this case, is 20m/s.

iii)The distance covered can be found by finding the area of the graph to the corresponding time. In this case,

t=15

Distance covered = 20m/s * 15s

= 300m

Acceleration :

Velocity :

Distance :

The final stabilized temperature will be between 0 °C and 50 °C.

The enthalpy of fusion of ice is 334 J/g. The specific heat of water is 4.2 J/g.

To cool 100 g of water from 100 °C to 0 °C would require the removal of

4.2 x 100 x 100 = 42000 J.

To melt the ice would require the addition of

334 x 100 = 33400 J

∴ 42000  > 33400 thus you can melt all the ice and have some heat to spare, specifically 42000 - 33400 = 8600 J

Now use this to warm up 100+100 = 200 g of water at 0 °C

The final stabilized temperature;

8600 / (200 x 4.2) = 10.23 °C

Therefore, the final stabilized temperature is 10.23 °C

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Answer:

Entropy is a measure of the order/disorder during the transformation of the state of a system and is defined as the total variation of energy at a defined temperature. From point of view of statistical mechanics, this variation of energy is generated from statistical transitions of the internal states of the system. In this sense, entropy can measure how easy it is to reach a defined state of the system. Now, imagine a text stream that arrives to you character by character in a screen. If the text is meaningless, then every character has the same probability of appearing to you and therefore the entropy is maximal because this disorder is maximal. If you want to transfer information, then you have to spend a little bit of energy in ordering the characters because this does not happen spontaneously. The final state of the system is more ordered in respect to the earlier one, so the entropy is less than the entropy of random text. This means that, if you want to reduce entropy in order to transfer information, then you must spend energy.

Explanation:

Answer: For entropy to decrease, energy must be added. (B)

Explanation: Trust me bbg c;

The magnetic dipole moment of the wire loop is 0.174 Am².

The magnetic dipole moment is calculated as follows;

μ = NIA

where;

μ = (3)(5.8 x 10⁻²)

μ = 0.174 Am²

Thus, the magnetic dipole moment of the wire loop is 0.174 Am².

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According to the Theory of Continental Drift, we can predict that:

Continental Drift can be defined as a hypothesis that was put forth, that the Earth's continents have moved over  time relative to each other and as the time goes its keeps on moving, increasing the distance between them.

Continental Drift makes the continents look like they have drifted across the ocean.

In conclusion, Our predictions are stated above.

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If you fly a spaceship to Vega at 0.999c, you will measure the distance to be much less than 25 light years.

Most space objects use light-years to represent their distance. Light-years are the distance that light travels during the year on Earth. Light-years are about 6 trillion miles (9 trillion km). This is a 6 followed by 12 zeros.

At the same speed, a movement equivalent to one light-year takes about 11.3 billion days. Life expectancy for Americans is currently estimated at 78.74 years, which is equivalent to 28,740 days. Therefore, to get there, you need to live about 400,000 times as long as the average American.

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Answer:

Nearer the top

Explanation:

Since the shape is not symmetrical in all axis, from the shape, there is more matter occupying the top half of the image. Hence the senter of gravity being at the top

Answer:

उव्ग्वुव ह्व्झ एउएइहे एइएइएइएएइ सिसुब्स्सी बीस सिस इस्ब एइब

Explanation:

?उग्व्ब्वु विब्सिए इसिग्व विद्बिअब्द सिह्व्व इस्ब्व दिव्ब्स विह्द ऐद्जिइ सुउगव्दी सिइगैगे क्ज्गैइव अजिव्व्ज्व्स कैह्द अजि ह्ज्फ्ज इअह इकुगै ईग इअबे अजिव्ब जैइअब इऐहे ऐइहे ऐइग्गे अत्व्ब ओप्झब रोज दिधिए ऊइफ्ब इसुहद ईउहे सिउउअ दिइब्द स्सिउए ऐइहे सिएय्व एउविये एइव्वे

The approximate de Broglie wavelength of a tennis ball is 9.4×10^(-34) m.

What is the de Broglie wavelength:

It is the wavelength that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength.

A particle's de Broglie wavelength is usually inversely proportional to its force.

The formula of de Broglie wavelength:

here mass of a tennis ball is given

mass, m=70 g = 0.07 kg

ball is moving with velocity

v = 10 m/s

h is Plank constant,

h=6.63×10^(-34) Js

substituting the values in formula,

λ = 6.63×10^(-34) / ( 0.070*10)

λ = 9.4 ×10^(-34) m

Hence

The approximate de Broglie wavelength of a tennis ball is 9.4×10^(-34) m

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The final speed of the object is 11.2m/s.

To find the answer, we need to know about the Newton's equation of motion.

V= √126= 11.2 m/s

Thus, we can conclude that the final speed is 11.2 m/s.

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