Answer:
The linear momentum of a particle with mass m moving with velocity v is defined as
p = mv (7.1)
Linear momentum is a vector . When giving the linear momentum of a particle you must
specify its magnitude and direction. We can see from the definition that its units must be
kg·m
s
. Oddly enough, this combination of SI units does not have a commonly–used named so
we leave it as kg·m
s
!
The momentum of a particle is related to the net force on that particle in a simple way;
since the mass of a particle remains constant, if we take the time derivative of a particle’s
momentum we find
dp
dt = m
dv
dt = ma = Fnet
so that
Fnet =
dp
dt (7.2)
The reactance of a capacitor is 4.0 k ohms at a frequency of 0.60 khz. What is the capacitance?
The capacitance of a capacitor can be calculated using the formula C = 1 / (2πfXc), In this case, the reactance is given as 4.0 kΩ (4000 Ω) and the frequency is 0.60 kHz (600 Hz).
Using the formula, we can substitute the given values to find the capacitance:
C = 1 / (2π * 600 * 4000) = 1.32 × 10^(-7) Farads.
Therefore, the capacitance of the capacitor is approximately 1.32 × 10^(-7) Farads.
The capacitance of a capacitor determines its ability to store electric charge and is measured in Farads. The reactance of a capacitor is an opposition to the flow of alternating current and depends on the frequency of the current.
In this case, we are given the reactance and frequency, and we can use the formula to calculate the capacitance. By substituting the values into the formula, we find that the capacitance is 1.32 × 10^(-7) Farads. This means that the capacitor can store a small amount of electric charge at the given frequency and reactance.
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When all individual forces acting upon an object are balanced, it is the natural tendency of the object to
____.
Answer:
- maintain its state of motion
- Keep its velocity constant (either at zero or non-zero value)
Which of the following does not change as a skater goes down a ramp?
-Thermal Energy
-Gravitational potential energy
-Total Energy
-Kinetic Energy
Answer:
total energy
Explanation:
law of conservation of energy
Compare the signs of ƒ for lenses and mirrors.
Answer:
simple
Explanation:
CONCAVE MIRRORS AND LENSESf= negativeCONVEX MIRRORS AND LENSESf= positivePLEASE FOLLOW ME AND MARK IT BRAINLIESTBoth mirror and lenses have positive as well as negative focal length.
What is lense ?A lens is a transmissive optical device that employs refraction to concentrate or scatter a light beam. A simple lens is made up of a single piece of transparent material, whereas a compound lens is made up of numerous simple lenses organized along a common axis.
For lenses
A converging lens, also known as a convex lens, has a positive focal length (f > 0). It is a lens that, after passing through it, focuses parallel beams of light.
A diverging lens, commonly known as a concave lens, has a negative focal length (f 0). It is a lens that spreads parallel beams of light after they pass through it.
For mirrors
A concave mirror has a positive focal length (f > 0). It is a mirror that focuses parallel beams of light in front of it.
A convex mirror has a negative focal length (f 0). It's a mirror that spreads out parallel beams of light as though they're originating from a virtual focal point behind the mirror.
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A rocket is fired vertically upward with an initial velocity of 29 m/s how long does it take to reach its highest point. JUST PLEASE ANSWER
The time taken to reach the highest point, given that the rocket was fired with a velocity of 29 m/s is 2.96 s
How do i determine the time taken to reach the highest point?First, we shall list the various parameters obtained from the question. Details below:
Initial velocity (u) = 29 m/sFinal velocity (v) = 0 (at highest point)Acceleration due to gravity (g) = 9.8 m/s²Time taken (t) = ?v = u - gt
0 = 29 - (9.8 × t)
0 = 29 - 9.8t
Collect like terms
0 - 29 = -9.8t
-29 = -9.8t
Divide both side by -9.8
t = -29 / -9.8
= 2.96 s
Thus, the time taken is 2.96 s
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What causes the nucleus of an isotope to be radioactive
The nucleus of an isotope is radioactive due to an imbalance between the number of protons and neutrons in the nucleus.
What causes the nucleus of an isotope to be radioactive?Stable nuclei have a balanced ratio of protons to neutrons, but when this balance is disrupted, the nucleus can become unstable and undergo radioactive decay.
The instability of a radioactive isotope's nucleus can be attributed to the strong nuclear force, which is the force that binds protons and neutrons together in the nucleus.
The rate of radioactive decay is measured by the half-life of the isotope, which is the amount of time it takes for half of the atoms in a sample of the isotope to decay.
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Which waves can
travel though space
Answer: Radio waves
Explanation:
Radio waves can travel through space. So, if you're wearing a space suit that contains a radio unit and one of your buddies sends you a radio message that there's pizza in the space station, you'd be able to hear it. That's because radio waves aren't mechanical -- they're electromagnetic. Electromagnetic waves can transmit energy through a vacuum.
Mutations in sections of DNA can be caused by all of the following EXCEPT
Question 2 options:
Viruses
Chemicals
Ultraviolet Radiation
Sexual Reproduction
Answer:
sexual reproduction
Explanation:
In order to have an airplane ascend, it needs to have more___
than weight. *
Drag
Weight
Lift
Thrust
Answer:
drag weight lift thrust
The ability to provide for our needs without damaging Earth's resources is called _______.
A. Acid Rain
B. Sustainability
C. Degradation
D. Pollution
Answer = B
Explanation:
Sustainability is the most appropriate as it means meeting our own needs without compromising the ability of future generations to meet their own needs.
A clay cube has sides that are 5 cm long and a mass of 20 g. What is the density of the clay?
(Help)
Answer:
density = 0.16[gr/cm^3] = 160 [kg/m^3]
Explanation:
To solve this problem we must use the definition of density which tells us that this is equal to the relationship between mass and volume. In this way we have:
Since the body is a cube, its sides are equal we have:
v = 5 * 5 * 5 = 125 [cm^3]
m = 20 [grams]
density = m / v
density = 20/125
density = 0.16 [grams/cm^3]
Now if we convert the units to the international system, we have:
\(0.16[\frac{gr}{cm^{3} } ]*\frac{1kg}{1000gr} *\frac{100^{3} cm^{3} }{1^{3} m^{3} } \\= 160 [kg/m^{3} ]\)
Provide a reason why houses are painted with dark colours in cold countries.
Answer:
which is necessary to keep the building warm. Light colors reflect the light hence they are wisely used in tropical ...
Here in the US, not all houses are painted dark colors. In years past, it was common for the ...
Dark colors absorb heat, which is why houses in cold countries are painted with dark colours.
A car traveling at 65 mph is an example of its
Answer:
Speed
Explanation:
The distance traveled by an object in a unit of time is speed
Find the energy (in mev) released when decay converts 88x226 (atomic mass = 226.02540 u) into 86y222 (atomic mass = 222.01757 u). the atomic mass of an particle is 4.002603 u.
The energy (in MeV) released when decay converts 88x226 into 86y222 is ΔE = 4.87 MeV.
Solution:
Use Energy Conservation. By α decay converts, we mean that the parent particle turns into an alpha particle and daughter particles. Adding the mass of the alpha and daughter radon, we get
m = 4.00260 u + 222.01757 u = 226.02017 u
The parent had a mass of 226.02540 u, so clearly some mass has gone somewhere. The amount of the missing mass is,
Δm = 226.02540 u -- 226.02017 u = 0.00523 u,
which is equivalent to an energy change of,
ΔE = (0.00523 u) \(\frac{(931.5 MeV)}{(1u)}\) ,
ΔE = 4.37 MeV
Hence, the energy released when decay converts is 4.37 MeV.
If silicon-28 becomes silicon-29, how do you know that it gained a neutron and not a proton?
If silicon-28 becomes silicon-29, we know that it gained a neutron and not a proton because all isotopes have same atomic number but different atomic mass.
Number of protons = Atomic number
So, even though the isotopes of silicon differ, the atomic number is same for all the isotopes. So number of protons is neither gained nor lost in different isotopes of the same element.
Atomic mass = Number of Protons + Number of Neutrons
Number of Neutrons = Atomic mass - Number of Protons
Since the atomic mass differs for different isotopes, the number of neutrons varies in different isotopes.
Therefore, if silicon-28 becomes silicon-29, we know that it gained a neutron and not a proton because all isotopes have same atomic number but different atomic mass.
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Which types of changes must follow the law of conservation of mass?
Both physical and chemical changes
Neither physical nor chemical changes
Only physical changes
Only chemical changes
Answer:
Both physical and chemical changes
Answer:
Both physical and chemical changes follow the law since when the system is closed to all transfers of matter and energy, the mass of the system must remain constant over time, irrespective of the state.
Explanation:
pls mark brainliest
An illustration of a triangle. Two arrows labeled A and B go down the two sides of the triangle from the top of the triangle labeled gas. An arrow labeled C goes across the bottom from the point labeled liquid to the point labeled solid. Which changes of state do the labels represent? A: B: C:
The labels A and B in the triangle's supplied picture stand for the transitions from a gas to a liquid and a gas to a solid, respectively.
Arrow A, which descends one side of the triangle from the top labelled "gas," symbolises condensation, the transformation of a gas into a liquid.
When a gas loses energy and changes into a liquid state, condensation takes place.
The transition from a gas to a solid is shown by arrow B, which also descends from the top and is labelled "gas" but is located on a different side of the triangle. Deposition is the term for this alteration. When a gas loses energy, it decomposes into a solid without changing to a liquid state, which is known as deposition.
Arrow C travels horizontally from the point designated "liquid" on the bottom of the triangle to the place designated "solid." This illustrates freezing, the transition from a liquid to a solid state. When a liquid loses energy, it freezes and changes from a liquid state to a solid state.
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5. Which of the following occurs as the potential energy of an object decreases?
A. Its kinetic energy increases.
B. Its thermal energy decreases.
C. Its chemical energy increases.
D. Its magnetic energy decreases.
A. Its kinetic energy increases occurs as the potential energy of an object decreases.
When mass is reduced, what happens to potential energy?The mass and height of an item affect how much gravitational potential energy it has. More gravitational potential energy is held by an item the heavier it is and the higher it is above the surface of the earth. As weight and height grow, gravitational potential energy rises.
The mass of the item has a significant role in determining the gravitational potential energy. The mass and potential energy are intimately related. As a result, an item with higher mass has more potential energy.
A falling object loses potential energy while gaining kinetic energy. The difference between the increase in kinetic energy and the reduction in potential energy is exact. Work is a further crucial idea.
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ball is thrown straight up, with a speed of 64 ft/s from the top of a 96 foot cliff. where is the ball t seconds later? when does it reach its maximum height? how high above the ground (bottom of the cliff) does the ball rise? when does the ball hit the ground?
When the ball is at its peak possible position, it's velocity remains Zero. Unfortunately, this moment of zero velocity is hardly visible, since it occurs in a very short amount of time.
where is the ball t seconds later?For the first part, solve the equation you were given to find the time at which the height of the ball is 0. Sos(t) = -16t^2 - 64t + 800 = -16t^2 - 64t + 80
This is a standard quadratic equation that you can solve using the quadratic formula with a = -16, b = -64, and c = 80, so the roots are: 1 and -5.We can ignore the -5 root since that's what the situation would have looked like if we went back in time 5 seconds and launched the ball upwards from the ground. But since we're not doing time travel, the solution of interest is the 1. So the ball hits the ground one second after throwing it.The formula for distance under constant acceleration is d = 1/2 A T^2. That formula accounts for the -16t^2 term, so A is 32. So during that 1 second it takes for the ball to hit the ground, it will be accelerated 1 * 32 = 32 ft/sec. That is added to the initial velocity the ball was given. So at the moment it hits the ground it's going-64 ft/sec - 32 ft/sec = -96 ft/sec.
For the second problem, the key thing to note is "instantaneous rate of change". When you see that phrase you should immediately think "first derivative". So let's calculate the first derivative of the equation given,
S(r)=2πrh+2πr^2S'(r)=2πh+4πr
Now substitute the value 4 for r, giving
S'(4)=2πh+4π4 = 2πh+16π
And we have a problem. That value isn't one of the available options, so something is wrong. The problem is choice "b" takes into account the increase in surface area for the end caps on the cylinder, but it doesn't take into account the increase in surface area for the side of the cylinder which is what the 2πh term accounts for. Please show this to your teacher.
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Explain how the perfume atomizer works under Bernoulli's principle
Answer:
In an atomizer, or perfume sprayer, you squeeze a rubber bulb to squirt air through a tube. Because of the Bernoulli principle, the air rushing through the tube has a lower pressure than the surrounding atmosphere. ... The perfume is pushed out of the tube and sprays into the air as a fine mist.
Explanation:
A concave mirror forms image of an object thrice in its size on a screen magnification of a mirror gives information about the size of the image relative to the object it is defined as the ratio of size of image to the size of object it is represented by m m size of object size of image =magnification by mirror gives the information about the nature of the image produced by it.
Describe the nature of image formed 2nd if the object X distance from the pole of mirror then find image distance from the pole 3rd if the radius of curvature of mirror is are then write the relation between object distance image distance and focal length of the mirror give one use of concave mirror
The description of the nature of image formed 2nd if the object X distance from the pole of mirror then find image distance from the pole 3rd if the radius of curvature of mirror is are then write the relation between object distance image distance and focal length of the mirror give one use of concave mirror is given below
What is the description of the nature of image formed?A concave mirror is a mirror with a curved, inwardly facing surface. When an object is placed in front of a concave mirror, the mirror will form an image of the object. The nature of the image formed depends on the position of the object relative to the mirror.
If the object is placed at a distance greater than the focal length of the mirror, the image formed will be smaller than the object and will be located behind the mirror. This type of image is known as a virtual image.If the object is placed at a distance less than the focal length of the mirror, the image formed will be larger than the object and will be located in front of the mirror. This type of image is known as a real image.To find the image distance from the pole of the mirror, you can use the mirror equation:
1/image distance + 1/object distance
= 1/focal length.
If the object is X distance from the pole of the mirror, you can substitute this value for the object distance in the mirror equation to find the image distance.
The relationship between the object distance, image distance, and focal length of a concave mirror can be expressed using the mirror equation:
1/image distance + 1/object distance
= 1/focal length.
This equation tells us that the sum of the reciprocals of the object distance and image distance is equal to the reciprocal of the focal length.
Therefore, One use of a concave mirror is as a reflector in a flashlight or car headlight. The concave mirror focuses the light to a point in front of the mirror, creating a bright beam of light that can be directed at a specific location.
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During a chemical reaction the reactants are re-arranged into new substance products true or false
Answer:
True
Explanation: Magic
If a body of mass 4 kg moves at a velocity of 25 m/s and has a completely inelastic collision with a body of mass 10 kg, the final velocities of both the bodies is 14 m/s. Calculate the initial velocity of the body of mass 10 kg.
We are given the following information about an inelastic collision.
Mass of 1st object = 4 kg
Mass of 2nd object = 10 kg
Initial velocity of 1st object = 25 m/s
Final velocity of both objects = 14 m/s
Initial velocity of 2nd object = ?
In an inelastic collision, the momentum is conserved but the kinetic energy is not conserved.
Recall that the total momentum is conserved and given by
\(m_1u_1+m_2u_2=(m_1+m_2)v_2\)Let us substitute the given values and solve for initial velocity of the body (u2)
\(\begin{gathered} m_1u_1+m_2u_2=(m_1+m_2)v_2 \\ 4\cdot25+10\cdot u_2=(4+10)\cdot14 \\ 100+10\cdot u_2=196 \\ 10\cdot u_2=196-100 \\ 10\cdot u_2=96 \\ u_2=\frac{96}{10} \\ u_2=9.6\; \frac{m}{s} \end{gathered}\)Therefore, the initial velocity of the body of mass 10 kg is 9.6 m/s
50kg of solid gold melted after reaching a temperature of 1,063°C. How much energy was transferred to melt solid gold? [2 marks]
Answer:
The answer is 1594.5J
Explanation:
H=mcø
H=50×1063×0.03
H==1594.6J
what is the wavelength of a 2.6 mhz ultrasound wave traveling through aluminum?
The wavelength of a 2.6 MHz ultrasound wave traveling through aluminum is 0.06 mm.
We know that the speed of sound in aluminum (v) is 6420 m/s. This value can be looked up in a table or provided in the question. The formula to find the wavelength of a wave is:
Wavelength (λ) = speed (v) / frequency (f)
where λ is measured in meters, v is measured in meters per second, and f is measured in hertz.
To use this formula, we need to convert the frequency of the ultrasound wave from megahertz (MHz) to hertz (Hz):
2.6 MHz = 2,600,000 Hz
Now we can plug in the values and solve:
λ = v / f
λ = 6420 m/s / 2,600,000 Hz
λ ≈ 0.00006 m or 0.06 mm (rounded to two decimal places)
Therefore, the wavelength of a 2.6 MHz ultrasound wave traveling through aluminum is 0.06 mm.
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A jet plane is launched from a catapult on an aircraft carrier. In 2.0 s it reaches a speed of 42 m/s at the end of the catapult. Assuming the acceleration is constant, how far did it travel during those 2.0 s?
First find Acceleration
Initial velocity=u=0m/sFinal velocity=v=42m/sTime=t=2sDistance=sAcceleration=a\(\boxed{\sf Acceleration=\dfrac{v-u}{t}}\)
\(\\ \sf\longmapsto Acceleration=\dfrac{42-0}{2}\)
\(\\ \sf\longmapsto Acceleration=\dfrac{42}{2}\)
\(\\ \sf\longmapsto Acceleration=21m/s^2\)
Using second equation of kinematics
\(\boxed{\sf s=ut+\dfrac{1}{2}at^2}\)
\(\\ \sf\longmapsto s=0(2)+\dfrac{1}{2}(21)(2)^2\)
\(\\ \sf\longmapsto s=21(2)\)
\(\\ \sf\longmapsto s=42m\)
2. A marble is rolling at a velocity of 1.5 m/s with a momentum of 3.0 kg×m/s. What is its mass?
Answer:
2kg
Explanation:
∆p=mv m=∆p/v. (3.0kg*m/s)/1.5m/s
if you place a 1 ohm resistor across a 12 volt car battery, how much power will it dissipate? exercise 1.3. prove the formulas for series and
The 1-ohm resistor will dissipate 144 watts of power when connected to a 12 volt car battery.
P = V² / R
In which P is the energy in watts, V is the voltage in volts, and R is the resistance in ohms.
Plugging in the values we have:
P = 12² / 1
P = 144 watts
A resistor is a fundamental component in electrical circuits that opposes the flow of electric current through a circuit. It is a passive electronic component that is designed to have a specific resistance to the flow of electric charge.
The resistance of a resistor is measured in ohms (Ω) and is determined by the ratio of the voltage applied to the resistor to the current that flows through it. Ohm's regulation states that the current via a resistor is at once proportional to the voltage across it and inversely proportional to its resistance. Resistors are used in a wide range of electrical and electronic circuits, including power supplies, amplifiers, and digital circuits, to control current flow, reduce voltage levels, and provide biasing.
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Complete Question:
if you area a 1 ohm resistor across a 12 volt automobile battery, how a great deal electricity will it expend?
a billiard ball travels 23 cm in the positive direction, hits the cushion and rebounds in the negative direction, and finally comes to rest 7.5 cm behind its original position.
The billiard ball involves relaxation 80 cm
Displacement refers to the space among the very last and the preliminary role. Hence the displacement of the ball can be the distinction among the preliminary and the very last displacement.
Let the preliminary role be 0
Final role = 8 cm
So the distinction among preliminary role and very last role = 0 - 88 cm
So the billiard ball involves relaxation 80 cm at the back of its orbital role.
What is displacement thickness in boundary layer theory?The displacement thickness for the boundary layer is described as the gap the floor could need to pass withinside the y-course to lessen the glide passing via way of means of a extent equal to the actual impact of the boundary layer.
The distance from the boundary floor where the rate reaches 99% of the mainstream speed is used as an arbitrarily defined measure of the thickness of the boundary layer indicated by the symbol.
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What is the mass of basswood wing with these dimensions: 26.9 cm x 5.5 cm x 0.15 cm?
The mass of the basswood wing with the given dimension is 710.14 g. Basswood is a low-density, light wood.
What is basswood?Basswood is a low-density, light wood that is mainly used for artistic work such as hand carving and creating musical instruments.
The mass can be calculated by the formula,
\(m = v \times d\)
Where,
\(m\)- mass
\(v\) - volume = 26.9 cm x 5.5 cm x 0.15 cm = 22.192 ml
\(d\) - density = 32 g/cm3
Put the values in the formula,
\(m\) = 22.192 x 32
\(m\) = 710.14 g
Therefore, the mass of the basswood wing with the given dimension is 710.14 g.
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