The mass of the bullet moving at the given values of velocity and kinetic energy is 6.4 × 10⁻⁴ kilogram.
What is Kinetic Energy?Kinetic energy is simply a form of energy that a particle or object possesses due to its motion.
It is expressed as;
K = (1/2)mv²
Where m is mass of the object and v is its velocity.
Given the data in the question;
Velocity of the bullet v = 970m/s Kinetic energy of the bullet K = 3.0 × 10³J = 3000kgm²/s²Mass of the bullet m = ?We substitute our given values into the expression above.
K = (1/2)mv²
3000kgm²/s² = 0.5 × m × (970m/s)²
3000kgm²/s² = 0.5 × m × 940900m²/s²
3000kgm²/s² = m × 470450m²/s²
m = 3000kgm²/s² ÷ 470450m²/s²
m = 0.00064kg
m = 6.4 × 10⁻⁴kg
Therefore, the mass of the bullet moving at the given values of velocity and kinetic energy is 6.4 × 10⁻⁴ kilogram.
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Motion
Force
Which property of the ball is constant?
speed
acceleration
direction
momentum
The property of the ball that is constant is acceleration because the rate of it's distance is constant.
What is constant acceleration?Constant acceleration refer to the rate of the velocity of the body that is moving at constant rate or when the rate of change of distance of an object with respect to time is constant.
Therefore, The property of the ball that is constant is acceleration because the rate of it's distance is constant.
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We observe the wheels of buses and trucks are heavier than the wheels of cars and scooters why.
Answer:
they carry a heavier load
Explanation:
Answer:
The wheels of buses and trucks are heavier than the wheels of car or scooters because the buses and trucks are heavy and require to exert less pressure. We know that when pressure decreases an area of contact increases, so the tires are broadened so that they exert less pressure on the road and move easily.
Explanation:
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NAME:
A room has a 60 Watt, a 100 Watt and a 150 Watt light bulb. How much does it
cost to use all the lamps for 2.5 hours at $0.08/ kWh?
E-60
Answer:
$ .0248 or 2.48 cents
Explanation:
60 + 100 + 150 = 310 watts
for one hour = 310 watt- hr or .31 kw- hr
.31 kw-hr * .08 / kw-hr = .0248
what temperature change is required to change the length of a 5.5-m steel beam by 0.0012m?
Answer:
Length of steel = 5.5 m
Increase in length = 0.0012 m
α of steel = 12 x 10-6/K
To find:
Temperature change needed ?
Calculation:
Let the required temperature change be ∆T. (in the photo)
So, temperature change of 18.1 Kelvin is required
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An object of mass weighing 5.24 kilograms is raised to a height of 1.63 meters. What is the potential energy of the object at that height? Note that acceleration due to gravity is 9.8 meters/second2.
A.
65 joules
B.
84 joules
C.
91 joules
D.
1.0 × 102 joules
E.
1.5 × 102 joules
Answer:
84 joules
Explanation:
potential energy = mgh
5.24×1.63×9.8
= 84 joules
8. What force is needed to accelerate an elevator upward at a rate of 2m's if the mass of the
elevator is 2,350kg
Answer:
F = M a
F = 2350 kg * 2 m/s^2 = 4700 Newtons
That is in addition to the force of
F = 2350 * 9.8 m/s^2 = 23,030 N needed for a stopped elevator
a man pulls a sled horizonally by exerting 64 Lb on teh rope that is tied to its front endd. if the rope makes an angle of 45 dgrees with horizontal, find the work done in moving teh sled 35 feet
The work done in moving the sled 35 feet when force is aligned from the horizontal is 1583.9 lb.ft
What is work done?Work done is equal to product of force applied and distance moved.
Work = Force x Distance
W = Fs cos θ
Given is the distance d =35 ft ,the force exerted F = 64lb and the angle of force from the horizontal direction is 45°.
Substituting the values, work done will be
W =64 x 35x cos 45°
W = 1583.9 lb.ft
Thus, the work done will be 1583.9 lb.ft
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A sound wave has a frequency of 265 hz and a wavelength measured at 1.3
m. the speed of the wave is 344.5 m/s.
how long will it take the wave to travel the length of a football field, which
is 91.4 m?
Answer:
V = f λ speed of wave in terms of frequency and wavelength
t = S / V time for wave to travel a distance S
t = 91.4 m / 344.5 m/s = .265 sec time to travel 91.4 m
IF THE CAPACITOR HAS PLATE AREA OF 0.2m² AND DISTANCE BETWEEN THEM IS 0.04 m. What is the capacitance if dielectric constant is E=0.001 C/VM.
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[tex]\\ \rm\Rrightarrow C=\dfrac{\epsilon_oA}{d}[/tex]
[tex]\\ \rm\Rrightarrow C=\dfrac{0.2(0.001)}{0.04}[/tex]
[tex]\\ \rm\Rrightarrow C=\dfrac{0.0002}{0.04}[/tex]
[tex]\\ \rm\Rrightarrow C=0.005F[/tex]
[tex]\\ \rm\Rrightarrow C=5mF[/tex]
Explanation:
Given data :
Given data :Plate area = 0.2m^2
Given data :Plate area = 0.2m^2Distance between plates=0.04m
Given data :Plate area = 0.2m^2Distance between plates=0.04mdielectric constant = 0.001 C/vm
Given data :Plate area = 0.2m^2Distance between plates=0.04mdielectric constant = 0.001 C/vmRTF=Capacitance.
Given data :Plate area = 0.2m^2Distance between plates=0.04mdielectric constant = 0.001 C/vmRTF=Capacitance. SolutionGiven data :Plate area = 0.2m^2Distance between plates=0.04mdielectric constant = 0.001 C/vmRTF=Capacitance. SolutionFirst formula for capacitance .
C= E A/ DC= 0.001 × 0.2 0.04C = 0.0002 0.04C = 0.005 FC = 5mF
Why is calcium chloride an ionic bond
Answer:
lonic compounds generally form between elements that are metals and elements that are nonmetals. For example, the metal calcium (Ca) and the nonmetal chlorine (Cl) form the ionic compound calcium chloride (CaCl2). In this compound, there are two negative chloride ions for each positive calcium ion.
Explanation:
Answer:Ionic compounds generally form between elements that are metals and elements that are nonmetals. For example, the metal calcium (Ca) and the nonmetal chlorine (Cl) form the ionic compound calcium chloride (CaCl2). In this compound, there are two negative chloride ions for each positive calcium ion.
Explanation:
Which of the following is LEAST likely to be the result of a genetic mutation?
A
A horse with a particularly long neck
B
A man with a beard
С
An albino squirrel
D
A plant that produces fewer seeds than normal
Answer:
B. man with a beard
Explanation:
it is not a genetic mutation because it is completely natural and common unlike the other options.
Select all the correct answers. a silver coin rubs vigorously against a wool cloth. the cloth becomes positively charged. which statements are true? the silver coin lost electrons. the silver coin gained electrons. the wool cloth lost electrons. the wool cloth gained protons. the wool cloth lost protons.
The true statements are, the silver coin lost electrons and the wool cloth lost protons.
What is a positive charge?A positive charge is an ion with excess proton. In this process the atom deficient number of electron as compared to protons.
When a silver coin is rubbed vigorously against a wool cloth, the silver coin which is a metal will loss electron, having excess number of protons and becomes positively charged in the process.
Thus, the true statements are;
the silver coin lost electrons and the wool cloth lost protons.
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Aluminum is often melted down for recycling purposes. Assuming 1 kg of aluminum is at room temperature, what is the minimum amount of heat needed to melt it to a liquid? The specific heat capacity of aluminum is 899 J/kg°C, the melting point is 660°C, and the latent heat of fusion is 3.97 x 105 J/kg.
60 points
The minimum amount of heat needed to melt it to a liquid will be 569.067 kJ.
What is enthalpy of fusion?The minimum amount of heat needed to melt it to a liquid is known as the enthalpy of fusion.
The formula for the enthalpy of the fusion is;
[tex]\rm L_f=Q/m \\\\ L_f=mCdt/m \\\\ L_f= Cdt \\\\ L_f= 899 J/kg^0C \times (660^0-27^0) \\\\ L_f= 569,067 \ J \\\\\ L_f=569.067 \ kJ[/tex]
Hence, the minimum amount of heat needed to melt it to a liquid will be 569.067 kJ.
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Assuming we receive a signal from a civilization on the other side of our galaxy, a two-way conversation with them is ________.
Select the statements that apply in order to complete the model (you can choose multiple answers).
a) the products must equal the reactants.
b) one diatomic oxygen should be removed from the reactant side.
c) one unbonded carbon atom should be added to the product side of the equation.
d) one carbon atom and two oxygen atoms are needed to balance the equation.
e) one carbon dioxide molecule should be added to the product side of the equation.
The statement a,d and e are correct. The chemical equation must be balanced.
What is a chemical reaction ?One or more compounds, known as reactants, are transformed into one or more distinct substances, known as products. Such a process is known as a chemical reaction.
The given equation is;
[tex]\rm CH_4+2O_2 \arrow \rightarrow CO_2+2H_2O[/tex]
The statements that apply in order to complete the model is;
a) The products must equal the reactants.
d) One carbon atom and two oxygen atoms are needed to balance the equation.
e) One carbon dioxide molecule should be added to the product side of the equation.
Hence, statement a,d and e are correct.
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in what unit do we measure electric current?
Answer:
Ampere
Explanation:
The SI unit of electric current is Ampere (A) after French physicist Andre Ampere who discovered electrical current
Truck
1 point
When you hit a rock on your bike, you fly forward over the handle bars. Which law does this best describe?
Newton's First Law
Newton's Second Law
Newton's Third Law
Newton's Law of Gravity
Answer:
I think it is Newton's law od gravity
Explanation:
An automobile moves on a level horizontal road in a circle of radius 40.0 m. The coefficient of friction between tires and road is 0.60. The maximum speed with which this car can round this curve is
Answer:
Approximately [tex]15\; {\rm m\cdot s^{-1}}[/tex] (assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].)
Explanation:
Let [tex]m[/tex] denote the mass of this vehicle, and let [tex]g[/tex] denote the gravitational field strength.
Since the road is level, the normal force that the road exerts on the vehicle would be equal in magnitude to the weight [tex]m\, g[/tex] of this vehicle. That is: [tex]F_\text{normal} = m\, g[/tex].
Let [tex]\mu_{k}[/tex] denote the coefficient of (kinetic) friction between the tires of this vehicle and the road. The maximum friction that the road could exert on this vehicle would be:
[tex]\begin{aligned}& F_\text{max. friction} && (\text{max. friction}) \\ =\; &\mu_{k}\, F_\text{normal} && (\text{coefficient of friction}) \,(\text{normal force}) \\ =\; & \mu_{k}\, m\, g\, \end{aligned}[/tex].
Also because this road is level, the only unbalanced force on this vehicle would be friction. Thus, the net force on this vehicle would be equal to the friction that the road exerts on the vehicle, which is at most [tex]\mu_{k}\, m\, g[/tex]:
[tex]\begin{aligned}& F_\text{net} && (\text{net force}) \\ =\; & F_\text{friction} && (\text{friction}) \\ \le \; & F_\text{max. friction} && (\text{max. friction})&\\ =\; & \mu_{k}\, m\, g\, \end{aligned}[/tex].
In other words, [tex]F_\text{net} < \mu_{k}\, m\, g[/tex]. This inequality could provide an upper bound on the acceleration of this vehicle:
[tex]\begin{aligned}& a && (\text{acceleration}) \\ =\; & \frac{F_\text{net}}{m} && \genfrac{}{}{0em}{}{(\text{net force})}{(\text{mass})}\\ \le \; & \frac{\mu_{k}\, m\, g}{m} \\ =\; & \mu_{k}\, g\end{aligned}[/tex].
Thus, the maximum acceleration of this vehicle on this road would be [tex]a_\text{max} = \mu_{k}\, g[/tex].
Let [tex]r[/tex] denote the radius of this circle. When the vehicle is moving around this circle at a speed of [tex]v[/tex], the (centripetal) acceleration of this vehicle would continuously be [tex]a = (v^{2} / r)[/tex].
Since the upper bound of the acceleration of this vehicle is [tex]a_\text{max} = \mu_{k}\, g[/tex], rearrange the equation [tex]a = (v^{2} / r)[/tex] to find an upper bound on speed [tex]v[/tex]:
[tex]\begin{aligned}\frac{v^{2}}{r} &= a \\ & \le a_{\text{max}} \\ &= \mu_{k}\, g\end{aligned}[/tex].
[tex]v^{2} \le \mu_{k}\, g\, r[/tex].
[tex]v \le \sqrt{\mu_{k}\, g\, r}[/tex].
In other words, when the radius of the circle is [tex]r[/tex], the coefficient of friction between the tire and the ground is [tex]\mu_{k}[/tex], and the gravitational field strength is [tex]g[/tex], the maximum speed of the vehicle would be [tex]\sqrt{\mu_{k}\, g \, r}[/tex].
In this question, it is given that [tex]r = 40.0\; {\rm m}[/tex] whereas [tex]\mu_{k} = 0.60[/tex]. Assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex], the maximum speed of this vehicle would be:
[tex]\begin{aligned}v_\text{max} &= \sqrt{\mu_{k}\, g\, r} \\ &= \sqrt{0.60 \times 9.81\; {\rm m\cdot s^{-2}} \times 40.0\; {\rm m}} \\ &\approx 15\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
A taser sends about 1100 V through the human body, resulting in an average current of 2.5 mA. a) Determine the Power output of the taser. b) How much charge (C) flows per second? c) How many electrons flow through the body per second when the taser is deployed through someone's body?
This question involves the concepts of current, power, and charge.
a) The power of taser is "2.75 watt".
b) The magnitude of charge flow per second "2.5 x 10⁻³ C/s".
c) Electrons flow per second is "1.56 x 10¹⁶ electrons/s".
a) PowerThe power of the taser can be given by the following formula:
P = IV
where,
P = Power = ?I = current = 2.5 mA = 2.5 x 10⁻³ AV = potential difference = 1100 VTherefore,
P = (2.5 x 10⁻³ A)(1100 V)
P = 2.75 Watt
b) Charge Flow per Second
The charge flow per second is equal to the current passing through taser.
[tex]\frac{q}{t}=I[/tex]
where,
[tex]\frac{q}{t}[/tex] = charge flow per second = ?I = current = 2.5 mA = 2.5 x 10⁻³ ATherefore,
[tex]\frac{q}{t}=2.5\ x\ 10^{-3}\ C/s[/tex]
c) Electron Flow per SecondThe electron flow per second is given by the following formula:
[tex]I = \frac{q}{t} = \frac{ne}{t}\\\\\frac{n}{t}=\frac{q}{te}[/tex]
where,
[tex]\frac{n}{t}[/tex] = electrons flow per second = ?e = charge on one electron = 1.6 x 10⁻¹⁹ CTherefore,
[tex]\frac{n}{t}=\frac{2.5\ x\ 10^{-3}\ C/s}{1.6\ x\ 10^{-19}\ C}\\\\\frac{n}{t}=1.56\ x\ 10^{16}\ electrons/s[/tex]
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When a person sees something, what carries the message from the eyes to the brain?
Answer:
nerves
Explanation:
The optic nerve is the nerve in each eye that carries the signal from your eye to your brain.
if nominal gdp is 1800 and the money supply is 450, then what is velocity?
Answer:
Explanation:
answer: 4 velocity.
if nominal gdp is 1800 and the money supply is 450, then what is velocity?
4 velocity.
If the nominal GDP is 1800 and the money supply is 450, then the velocity of money would be 4.
The total value of goods and services generated in an economy during a given time period, usually a year, is referred to as nominal GDP and is not adjusted for inflation. It depicts what products and services are now selling on the market.
Given:
Nominal GDP, PQ = 1800
Money supply, M = 450
From equation of exchange:
MV = PQ
V = (PQ) ÷ M
V = (1800) ÷ (450)
V = 4
Hence, if the nominal GDP is 1800 and the money supply is 450, then the velocity of money would be 4.
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The crossbar of a goalpost is 10 feet high. If a field goal is made 25 yards from the base of the goalpost that clears the goal by 1 foot, what is the smallest angle of elevation at which the ball could have been kicked to the nearest degree?.
Answer: 1 degree
Explanation: I looked it up.
What can spectroscopes tell us about a space object?
A. provide imagery
B. calculate location
C. determine temperature, chemical composition, and speed
D. determine temperature, chemical composition, and size
Answer:
The answer is C.
Explanation:
Spectroscopy can be very useful in helping scientists understand how an object like a black hole, neutron star, or active galaxy produces light, how fast it is moving, and what elements it is composed of.Answer:
[tex]\huge\boxed{\sf Option \ 3}[/tex]
Explanation:
Spectroscope:The device used to tell the properties of the spectral lines in an electromagnetic spectrum is called spectroscope. Properties of spectroscope:For any space object, spectroscope tells:Type of element the object is made of.Temperature of object.Chemical composition.SpeedMagnetic and electric field.Spectroscope also can tell the light intensity and their wavelength.[tex]\rule[225]{225}{2}[/tex]
The blackbody curve for a star named Zeta is shown below. What is the peak wavelength for this star?
impossible to tell because the scale for intensity is missing
0 nm
860 nm
3,010 nm
We are asked for the x coordinate of vertex
Here vertex is present somehow at 850-870nm
The most applicible answer should be 860nm
Option C is correct
If the scientific method was not used in forensic science at all, what do you think some potential problems could be?
Why we do not have a solar eclipse during every ""new moon"" phase.
Answer:
The solar eclipse stopped years ago due to the moon, sun, and earth's alignment not being able to sync like it did before.
#2. If we have a 9V battery connected to a 100 resistor , what is the current ?
Answer:
90 mAmps
Explanation:
V=IR
V/R = I
9 v / 100 ohm = .09 amps = 90 mAmps
How much power is produced if you have a current carrying a 441 j of enegy in 0.19 s?
Answer:
the answer is 2321 watts
Explanation:
power= energy/time
power= 441/0.19=2321.05watts
The half-life of Calcium-47 is 3.91 x 105 seconds. A sample contains 4.11 x 1076 nuclei. How much of the sample is left after 7.82 x 10 seconds?
2.57 x 1015 nuclei
5.14 x 1015 nuclei
1.03 x 1016 nuclei
2.06 x 1016 nuclei
Remember the formula
[tex]\\ \rm\Rrightarrow A(t)=A_o(0.5)^{\frac{t}{h}}[/tex]
h is half life[tex]\\ \rm\Rrightarrow A(7.82\times 10)=A(78.2)[/tex]
[tex]\\ \rm\Rrightarrow 4.11\times 10^{76}(0.5)^{\frac{78.2}{3.91\times 10^{5}}}[/tex]
[tex]\\ \rm\Rrightarrow 4.11\times 10^{76}(0.5)^{20\times 10^{-5}}[/tex]
[tex]\\ \rm\Rrightarrow 4.11\times 10^{76}(0.5)^{0.0002}[/tex]
[tex]\\ \rm\Rrightarrow 4.11\times 10^{76}(0.998)[/tex]
[tex]\\ \rm\Rrightarrow 4.10178\times 10^{76}[/tex]
Why no options matched?
That time given in end i.e 7.82×10
10 should contain some power to match our options .The number of nuclei of calcium-47 left after 7.82 x 10⁵s is 1.03 x 10¹⁶.
This can be found out using half life and laws of radioactive disintegration.
What are the laws of radioactive disintegration?
The Law of radioactive disintegration states the number of radioactive decay per unit time is proportional to the number of nuclei present in the sample initially.
So, ΔN/Δt = λN
Where, ΔN = number of radioactive nuclei decayed
Δt = time taken for decay
N = No of nuclei present initially
λ= decay constant
What is Half life?Half life is the time taken for the radioactive nuclei to reach half of its initial value.
Half life is given by
[tex]t_{1/2}[/tex] = λ/t
Given here, [tex]t_{1/2}[/tex] = 3/91 x 10.⁵s
N = 4.11 x 10¹⁶.
t = 7.82 x 10.⁵s
We see here that t = 2([tex]t_{1/2}[/tex])
Now, number of radioactive nuclei left undecayed in one half life is N/2
So number of nuclei left undecayed in 2 half lives will be 1/2(N/2) = N/4
So number of nuclei left in the sample will be N/4 = (4.11 x 10¹⁶.)/4
So Number of nuclei left in the sample = 1.03 x 10¹⁶.
Hence 1.03 x 10¹⁶is the correct answer.
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Research indicates that high serotonin levels may increase aggression. please select the best answer from the choices provided t f
The statement 'research indicates that high serotonin levels may increase aggression' is FALSE.
What is serotonin?Serotonin is a chemical messenger (i.e., a hormone) used to transmit messages through the body.
Serotonin is generated by the nerve cells (neurons) of the central nervous system (CNS).In conclusion, the statement 'research indicates that high serotonin levels may increase aggression' is FALSE.
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