A 0.50 kg grenade explodes horizontally into three pieces. The first piece has a velocity of 10 m/s [N] and a mass of 0.10 kg. The second piece has a velocity of 5.0 m/s [S 10⁰ E ] and a mass of 0.20 kg. Find the velocity of the third piece.

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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Answer:

volume

Explanation:

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

density =   mass / volume

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)

Answer:

scientific theory”?A. a best guess explanation. B. a rigorously tested explanation. C. an opinion of what should happen. D. a mathematical relationship

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 banking angle of the curved part of the speedway is determined as 32⁰.

The banking angle of the curved part of the speedway is calculated as follows;

V(max) = √(rg tanθ)

where;

V² = rg tanθ

tanθ = V²/rg

tanθ = (34²)/(190 x 9.8)

tanθ = 0.62

θ = arc tan(0.62)

θ = 31.8

θ ≈ 32⁰

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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

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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Answer:

A

Explanation:

According to law of conservation of momentum, the total momentual in the system will be conserved

Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is not conserved is the correct answer. The correct option is (b).

The momentum of Stone A is transferred to Stone B when Stone B strikes Stone A and stops. Stone A begins to move with a 2 m/s velocity in the opposite direction as a result (because Stone B was going with a 2 m/s velocity in the opposite direction).

The momentum is not conserved, though, because the momentum of Stone B prior to the impact (which was in the opposite direction) does not match the momentum of Stone A following the contact. The impact results in a little loss of momentum, perhaps as a result of friction or other dissipative forces.

Therefore, The correct option is (b). Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is not conserved.

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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

Diode is probably fault.

Diode is an electrical component which allows current to flow in one direction and heavy resistance in other direction.

           The working of diode is based on the p-n junction which have

           more electron and less hole if p-n junction is n-type and vice-versa.

There are various uses of diode in electric appliances.

 If the diode possess high resistances in both the directions then there is

 no flow of current. So, the diode must be fault .

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Answer:

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

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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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 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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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.

From the calculation,  the gravitational field at the pendulum’s location is 9.8 m/s^2

A pendulum is a device that is used to demonstrate oscillatory motion. We have the following information.

l =  36.9 cm or 0.369 m

T = 1.22 s

Then;

T = 2π√l/g

T/2π = √l/g

(T/2π)^2 = l/g

g(T/2π)^2 = l

g = l/(T/2π)^2

g = 0.369/(1.22/2 *3.14)^2

g = 9.8 m/s^2

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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

Answer:

10 mph

Explanation:

55 - 45 = 10 mph

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:

The force should be equal to 10000 N.

Explanation:

When the car turns round a circular path, it is assumed that there is some centripetal force acting towards the center.

The centripetal force is calculated by the formula,

F=mv^2/r

Given m=1000 kg, v=10 m/s and r=10 m.

F=1000*(10)^2/10

F=10000 N

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Answer:

30cm^3

Explanation:

ml means milliliter, 1 ml= 1cm^3 that's the unit for volume

hence

Δv=185-155=30ml=30cm^3

The density of the mercury in lbs/l is 29.96 lbs/l.

Density: The ratio of the mass of the substance to its total volume is defined as the density of that substance.

The formula of the density is,

d=m/V

where d is the density, m is the mass and V is the volume.

Conversion of the unit from g/ml to lbs/l:

It is given that the density of the given substance is 13.6 g/ml.

1 lb = 0.454 Kg

1 kg = 1000 g

So 1 lb = 0.454 *1000 g

1 lb = 454 g

That means 1 g = 1/454 lb

Then 1 ml = 0.001 l.

Using these values, the density of the given substance in lbs/l is calculated.

13.6 g/ml = (13.6 g/ml)*(1 lb/ 454 g)÷(0.001 l/ml)

13.6 g/ml = 29.96 lbs/l

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Answer:

CORNEA

Explanation:-

Cornea: Basically the transparent circular part of the front of the eyeball. It refracts the light entering the eye onto the lens, which then focuses it onto the retina. The cornea contains no blood vessels and is extremely sensitive to pain.
Hope it helps

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;

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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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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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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To determine the focal length of a convex lens, if we are using sun as distant object, then we get a value which is closer to the accurate value of convex lens.

To find the answer, we need to know more about the focal length of a convex lens.

Thus, we can conclude that, the if we are using sun as distant object, then we get a value which is closer to the accurate value of convex lens.

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If we use the sun as a distant object to calculate the convex lens's focal length, we obtain a number that is more closely related to the actual convex lens value.

We need to learn more about a convex lens's focal length in order to locate the solution.

We can therefore draw the conclusion that if we use the sun as a distant object, we will obtain a value that is closer to the convex lens's actual value.

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