The dimensional formula of physical quantity z is [T⁻²].
What is dimensional formula?The definition of the dimensional formula is the correct statement of the physical quantity in terms of its fundamental unit.
The relation between physical quantities v,x, z and t is
v = (1/2)zxt
The dimensional formula of physical quantity v is = [L/T] = [LT⁻¹]
The dimensional formula of physical quantity x is = [L]
The dimensional formula of t is = [T]
Hence, the dimensional formula of z is = [v]/[x][t]
= [LT⁻¹]/[L][T]
= [LT⁻¹L⁻¹T⁻¹]
= [T⁻²]
The dimensional formula of physical quantity Z is [T⁻²] .
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What is the volume, in m3, of 10,000 kg of CO2 at 20 ∘C and 1.0atm pressure?
Answer:
pv=nrt
Explanation:
pv=nrt
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
V.
Answer:
E+V= Weird
Explanation:
If you subtract "e" repeating from E and V you'll get the equation above.
The symbols for speed, distance, and elapsed time are, respectively. * Ax and At. The MKS units of speed, distance, and elapsed time are, respectively, meters per second, meters and seconds. Which of the following equations is incorrect by unit analysis?
The incorrect equation among them is: Δt = v/Δx.
What is physical quantity?A physical quantity is a property of a substance or system that can be measured and quantified. The algebraic multiplication of a "Numerical value" and a "Unit" can be used to express a physical quantity as a value.
Unit of distance Δx is meter.
Unit of elapsed time Δt is second.
Unit of speed v is meter per second.
Hence, the possible equations among them are:
Δx = vΔt
v = Δx/Δt
Δt = Δx/v
1/Δt = v/Δx
But the incorrect equation among them is:
Δt = v/Δx.
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Your question is incomplete, but most probably the options of the question are:
Δx = vΔt
v = Δx/Δt
Δt = Δx/v
1/Δt = v/Δx
Δt = v/Δx.
The table to the right shows the time it takes three trucks to go from 0 to 60 km/h
The quantities that can be compared from four cars is the average acceleration. Answer A.
The question isn't complete. A similar question is in the attachment. When a truck or a car increases its velocity over time, it means it experiences acceleration. The vehicle moves in a non-uniform motion. The formula in non-uniform motion
v = u + atv² = u² + 2add = ut + 0.5at²where
t = time (s)d = distance (m)u = initial velocity (m/s)v = final velocity (m/s)a = acceleration (m/s²)The information in the question that four cars have a different time to travel but have the same
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two particles with equal charge experiences a force of 12 nN where they are 30 cm apart. what is the magnitude of the charge on each particle
Considering the Coulomb's Law, the magnitude of the charge on each particle is 4.2426 C.
Definition of Coulomb's LawCoulomb's law or law of electrostatics is the relationship between the interactions of electric charges, that is, it explains the force experienced by two electric charges at rest.
This law says that the electric force with which two point charges at rest attract or repel each other is directly proportional to the product of the magnitude of both charges and inversely proportional to the square of the distance that separates them, expressed mathematically as:
[tex]F=k\frac{Qq}{d^{2} }[/tex]
where:
F is the electrical force of attraction or repulsion. It is measured in Newtons (N).Q and q are the values of the two point charges. They are measured in Coulombs (C).d is the value of the distance that separates them. It is measured in meters (m).k is a constant of proportionality called the Coulomb's law constant. It depends on the medium in which the charges are located. Specifically for vacuum k is approximately 9×10⁹ [tex]\frac{Nm^{2} }{C^{2} }[/tex].The force is attractive if the charges are of opposite sign and repulsive if they are of the same sign.
Magnitude of the charge on each particleIn this case, you know that:
F= 12 nN= 1.8×10⁻⁸ N (being 1 nN= 1×10⁻⁹ N)k= 9×10⁹ [tex]\frac{Nm^{2} }{C^{2} }[/tex]Q= qd= 30 cm= 0.3 m (being 100 cm= 1 m)Replacing in the Coulomb's Law:
[tex]1.8x10^{-8} N=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{Qq}{(0.3 m)^{2} }[/tex]
Being Q=q:
[tex]1.8x10^{-8} N=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{q^{2} }{(0.3 m)^{2} }[/tex]
Solving:
1.8×10⁻⁸ N÷ 9×10⁹ [tex]\frac{Nm^{2} }{C^{2} }[/tex]= q²÷ (0.3 m)²
2×10⁻¹⁸ C²/m²= q²÷ (0.3 m)²
2×10⁻¹⁸ C²/m²= q²÷ 0.09 m²
2×10⁻¹⁸ C²/m² ×0.09 m²= q²
1.8×10⁻¹⁹ C²= q²
√1.8×10⁻¹⁹ C²= q
4.2426 C= q= Q
Finally, each charge has a value of 4.2426 C.
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Air bags are put into cars and other vehicles to reduce injury to passengers. How do these devices reduce injury?
Answer:
it's there to reduce movement of the passenger if hit.
Explanation:
it's quite simple really, its there because if it wasn't the person would've gone flying through the front window screen.
A Martian is on Mars, where the acceleration
gravitational is gMars=0.38gEarth, the ball oscillates with a period of 1.5s when it swings like a pendulum. On a trip, the Martian finds himself on a planet where the ball oscillates with a period of 0.92s.
What planet is it on?
First we must find the length of the pendulum:
The planet that a Martian is on is Earth.
The formula to calculate the period from a simple pendulum
T = 2π × √(L ÷ g)
T ÷ 2π = √(L ÷ g)
(T ÷ 2π)² = L ÷ g
T² ÷ 4π² = L ÷ g
L = (T² × g) ÷ 4π²
the length of the pendulum (m)π = 3.14g = the acceleration due to gravity (m/s²)T = period (s)Compare from pendulum on Mars and another planet
g Earth = gg Mars = g₁ = 0.38 gT on Mars = T₁ = 1.5 sT on another planet = 0.92 sAssume the same pendulum on Mars is the same as the pendulum on another planet. Then the length of the two pendulums is the same.L₁ = L₂
(T₁² × g₁) ÷ 4π² = (T₂² × g₂) ÷ 4π²
T₁² × g₁ = T₂² × g₂
1.5² × 0.38g = 0.92² × g₂
2.25 × 0.38g = 0.8464 × g₂
0.855g = 0.8464 × g₂
g₂ = 0.855g ÷ 0.8464
g₂ = 1.0101g
g₂ = 1.0101 × 9.8
g₂ = 9.89
The other planet is Earth.
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to two paragraph explain how we use Force in cur every day day lives
We can use Force in our everyday lives through the following below:
The force which is used to lift object by the hands.The force of the hair brush on hair when it is being brushed.What is Force?This is referred to as an influence that can change the motion of an object and the S.I unit is Newton. The formula is F = ma where m is mass and a is acceleration.
The use of force is important in our every day lives as it is used to perform basic activities such as lifting objects for use and brushing the hair to look good and tidy.
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A student runs an experiment in which a block of known mass is moving across a horizontal table in an xy-coordinate plane. As the block reaches the origin of the coordinate system, the block explodes into two pieces of masses m1 and m2. During the experiment, the velocity of the block 1.0 second before the explosion and the velocity of the two pieces 1.0 second after the explosion are measured using a motion sensor. Conservation of momentum is applied using the masses of the two pieces. However, when the velocity of the piece of mass m2 is calculated, the measured value is 10% less than the calculated value. Which of the following statements best explains the difference in the calculated and measured velocity?
Responses
Answer:
The difference in the calculated and measured velocity could be due to the fact that the motion sensor may not have been able to accurately detect the velocity of the block 1.0 second before the explosion due to the sudden change in momentum caused by the explosion. Additionally, the motion sensor may not have been able to accurately detect the velocity of the two pieces 1.0 second after the explosion due to the sudden change in momentum caused by the explosion. This could explain the 10% discrepancy between the calculated and measured velocity.
Explanation:
The length of a steel beam increases by 0.79 mm when it’s temperature is raised from 22°C to 35°C.
What is the length of the beam at 22°C?
These characteristics include density, Cp, thermal conductivity, and Cp. The amount of thermal energy needed to raise a substance's temperature by 1°C is known as its heat capacity (with the value depending on which temperature scale is used).
What do matter class 11's thermal characteristics entail?As we now understand, a material's thermal properties determine its ability to conduct heat or, more specifically, determine its nature in the presence of heat. As a result, when heat moves through an object, it exhibits thermal qualities.
What are the crucial areas of matter's thermal properties?Thermal Expansion is one of the main elements of a substance's thermal characteristics. Temperature Stress Temperature Conduction.
We know that change in length ΔL=LαΔT
ΔT=40−20=20 , L=5m
ΔL=5×α×20
ΔL=5×1.2×10
−5
×20
=1.2×10
−3
=1.2mm
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Dogs can hear higher-
pitched whistles that humans do. How do you
think the sound frequencies that dogs can
hear compare to the frequencies that humans
can hear?
Dogs can hear sounds at higher frequencies than humans. The range of sound frequencies that dogs can hear is approximately 40 Hz to 60,000 Hz, while the range for humans is 20 Hz to 20,000 Hz. This means that dogs can hear ultrasonic sounds that are beyond the range of human hearing.
What is sound about?In terms of physics, sound is a vibration that travels through a transmission medium like a gas, liquid, or solid as an acoustic wave.
Sound is the reception of these waves and the brain's perception of them in terms of human physiology and psychology. Dogs have the ability to hear ultrasonic sounds that are audible only to them.
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A 25-kg chandelier hangs from a ceiling on a vertical 4.0-m-long wire.
Part A: What horizontal force would be necessary to displace its position 0.16 m to one side?
Express your answer to two significant figures and include the appropriate units.
Part B: What will be the tension in the wire?
Express your answer to two significant figures and include the appropriate units.
The horizontal force required to displace the chandelier 0.16 m is equal to the restoring force divided by the displacement is 1500N
What is the horizontal force?A. To displace the position of the chandelier 0.16 m to one side, a horizontal force is necessary to balance the restoring force due to the tension in the wire. This restoring force can be calculated as the weight of the chandelier times the acceleration due to gravity:
Frest = W * g = 25 kg * 9.8 m/s^2 = 245 N
The horizontal force required to displace the chandelier 0.16 m is equal to the restoring force divided by the displacement:
Fhorizontal = Frest / (0.16 m) = 245 N / 0.16 m = 1531 N
Rounding to two significant figures, the answer is:
Fhorizontal = 1500 N
B. The tension in the wire can be calculated as the sum of the forces in the vertical direction, which is equal to the weight of the chandelier:
Tension = W = 25 kg * 9.8 m/s^2 = 245 N
Rounding to two significant figures, the answer is:
Tension = 250 N
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Two mirrors are inclined at an angle of 30 degrees a ray of light obliquely
Two mirrors are inclined at an angle of 30 degrees a ray of light obliquely at 180.
What are Inclined mirrors?
A mirror is said to be inclined when it is positioned perpendicular to a surface or if a flat mirror is positioned at an angle from the base (other than 90 degrees).
We first need to comprehend light in order to comprehend mirrors. According to the rule of reflection, a light beam that strikes a surface will bounce back like a tennis ball bounced against a wall.
Always equal to the angle leaving the surface, or the angle of reflection, is the entering angle, also known as the angle of incidence.
Therefore, Two mirrors are inclined at an angle of 30 degrees a ray of light obliquely at 180.
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In a pipe of 90mm diameter, water is flowing with a mean velocity of 2m/s at a gauge pressure of 350KN/M². Determine the total head, if the pipe is 8m above the datum.
The total head of the pipe is 430,400 Pa.
What is the total head of the pipe?
The total head of the pipe is the total pressure of the pipe and it is calculated as follows;
Pt = Pi + ¹/₂ρv² + ρgh
where;
Pi is the gauge pressure ρ is density of waterv is the speed of the waterh is the height of the water above the groundPt = ( 350,000) + ¹/₂(1000)(2)² + (1000 x 9.8 x 8)
Pt = 430,400 Pa
Thus, the total head or total pressure of the pipe depends on the density of water, speed of water and height above datum.
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Water at 200
C flows through a horizontal pipe of radius 1.0cm. If the flow velocity at the center is
0.2m/s find the pressure drop along a 4m section of the pipe due to viscosity 1.6x10-3NSM-2
The pressure drop along a 4m section of the pipe due to viscosity is 0.00653 N/m.
What is viscosity?The resistance of a fluid to deformation at a specific rate is measured by its viscosity.
Temperature of water is = 20° C.
The radius of the horizontal pipe = 1.0 cm = 0.01.
The velocity of the center is = 0.2 m/s.
The viscosity of the water = 16×10⁻³ N-s-m⁻²
Hence, the pressure drop along a 4m section of the pipe due to viscosity = fLv²/2gD
= (16 ×10⁻³ )×(4 × 0.2²)/(2 × 9.8 × 2 ×0.01) N/m
= 0.00653 N/m.
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A baseball has a mass of 0.15 kg. It is thrown by a major league pitcher at a speed of 45 m/s (100 mph
What is the momentum of the baseball?
rage for
Momentum is P. p= mv. P = 0.15* 45= 6.75.
What is Momentum?Momentum is a commonly used term in sports. A team that has the momentum is on the move and is going to take some effort to stop. A team that has a lot of momentum is really on the move and is going to be hard to stop.
Momentum is a physics term; it refers to the quantity of motion that an object has. A sports team that is on the move has the momentum. If an object is in motion (on the move) then it has momentum.
Momentum can be defined as "mass in motion." All objects have mass; so if an object is moving, then it has momentum - it has its mass in motion.
Therefore, Momentum is P. p= mv. P = 0.15* 45= 6.75.
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Please help me with the following problem.
The equivalent of what mathematicians refer to as a self-adjoint operator in physics is a Hermitian operator.
What are some examples of the Hermitian operator? Mathematicians refer to an object as a self-adjoint operator; this is the physicist's equivalent.This vector space V's linear operator has a positive definite inner product.Following Dirac, the conventional notation for an inner product in physics is a bra and ket.A function f(x) could, for instance, be multiplied by x using the operator x.A is a Hermitian operator2 if we assume that f(x)=2x + 3 and xf(x)=2x2 + 3x satisfy the condition that d is across all space.The equivalent of what mathematicians refer to as a self-adjoint operator in physics is a Hermitian operator.The fundamentals of quantum physics are two properties of hermitian operators.To learn more about Hermitian operator refer
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help me with the following
(a) The power required by the car climbing the inclined plane at steady speed is 15.554 kW.
(b) The power required by the car when the speed changes is 19.45 kW.
What is the power required for the car?
The power required by a car climbing the inclined plane is calculated as follows;
P = Fv
where;
v is the average velocity of the carF is the force of frictionSince the speed is steady, v = 80 km/h = 22.22 m/s
P = 700 N x 22.22
P = 15,554 W
P = 15.554 kW
When the speed of the car changes from 90 km/h to 110 km/h, the power required is calculated as;
vf = 110 km/h = 30.56 m/s
vi = 90 km/h = 25 m/s
V = ( 30.56 + 25 ) / 2 = 27.78 m/s
P = FV
P = 700 x 27.78
P = 19,446 W
P = 19.45 kW
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Think about how particles are arranged inside atoms. Please name and describe those three particles, and describe how the particles are arranged inside atoms. Some topics to include are: the charge of the particles, the mass of the particles, and where the particles are located.
The smallest unit of matter that may be divided without producing electrically charged particles is the atom.
What is Atoms?The rest consists of a positively charged nucleus of protons and neutrons surrounded by a cloud of negatively charged electrons.
The nucleus is small and dense compared with the electrons, which are the lightest charged particles in nature. Electrons are attracted to any positive charge by their electric force; in an atom, electric forces bind the electrons to the nucleus.
It is also the smallest piece of substance with chemical element-like characteristics. As a result, the atom serves as the fundamental unit of chemistry.
Therefore, The smallest unit of matter that may be divided without producing electrically charged particles is the atom.
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(a) In the absence of air resistance, a golf ball projected from the point P follows a parabolic path and lands at the point Q. The initial velocity of the ball is u and at an angle of a with the horizontal
(i) Derive an expression for the horizontal distance PQ in terms of u, a, and the acceleration due to gravity g.
(ii) What is the value of the angle of projection a for the distance PQ to be maximum?
(b) A motorcycle stuntman who is moving horizontally takes off from a point 15.0 m above the ground and lands 60.0 m away as shown in the figure. Calculate:
(i) the time between taking off and landing
(ii) the speed of the motorcycle at take-off.
Answer:
a.
i. t = u^2 * sin(a) * cos(a) / g
ii. 90 degree
Explanation:
a.(i) The horizontal distance PQ can be expressed as:
PQ = u * cos(a) * t
Where t is the time taken for the ball to reach the ground, which can be determined using the vertical motion equation:
v = u * sin(a) - g * t
where v is the final velocity (0 m/s at the ground) and g is the acceleration due to gravity (9.8 m/s^2). Solving for t, we have:
t = (u * sin(a)) / g
Substituting t back into the expression for PQ:
PQ = u * cos(a) * (u * sin(a)) / g
t = u^2 * sin(a) * cos(a) / g
(ii) To find the angle of projection for maximum PQ, we need to find the maximum of PQ with respect to a. Taking the derivative of PQ with respect to a, setting it equal to zero, and solving for a, we have:
dPQ/da = (u^2 * cos^2(a) - u^2 * sin^2(a)) / g = 0
This gives us:
sin(2a) = 0
The maximum value of PQ occurs at:
a = 90° or a = 270°
So the angle of projection for maximum PQ is 90 degrees.
4. The Orion Nebula is shown in the Figure below. How long has the light been
traveling from this object before it arrives on Earth? The distance to Orion nebula is
1344ly.
Light has been traveling from this object before it arrives on earth for 1,500 light-years.
Why is Orion Nebula so bright?
The Orion Nebula, a colourful cloud of gas and cosmic dust, is a star-forming region. The nebula has "a rather brilliant apparent brightness because it is the nearest massive star-forming zone to Earth.
Why was Orion given that name?
The ancient Egyptians believed that the stars in the belt represented the spot where the spirit of the god Osiris would ultimately dwell. To the Arabs, the constellation appeared to be enormous. The mythological Greek hunter Orion is the subject of the constellation's name.
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Two pieces of kryptonite, #1 and #2, have identical masses, but the net force applied to #1 is 20 N and to #2 is 400 N. The acceleration
of #1 is larger.
incorrect
depends on the weight of each piece of kryptonite.
of each piece of kryptonite is the same.
of #2 is larger.
Particles q₁ = +18.1 µC, q2 = -11.2 μC, and
93 +5.67 μC are in a line. Particles q₁ and q2 are
separated by, 0.280 m and particles q2 and q3 are
separated by 0.350 m. What is the net force on
particle q₂?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
-27.7 x 10⁶ N is the net force on particle q₂..
Define a charged particle
A particle with an electric charge is said to be charged particle. It might be an ion, such as a molecule or atom having an excess or shortage of electrons in comparison to protons. It could also be an elementary particle like as an electron, proton, or another one that is thought to have the same charge (except antimatter).
F₁₂ = kq₁q₂/r²
k is Coulomb's constant
r is the distance between q₁ and q₂
q represent charges
F₁₂ = (9x 10⁹ x 18.1 x 10⁻³ x 11.2 x 10⁻³)/(0.28)²
F₁₂ = -23* 10⁶ N
F₂₃ = kq₂q₃/r²
F₂₃ = -(9 x 10⁹ x 11.3 x 10⁻³ x 5.67 x 10⁻³)/(0.35)²
F₂₃ = 4.7 x 10⁶ N
F(net) = F₁₂ + F₂₃
= -23* 10⁶ N + -4.7 x 10⁶ N
= -27.7 x 10⁶ N
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If a Tesla Model S P100D in "Ludicrous mode" is pushed to its limit, the first 3.0 s of acceleration can be modeled as
ax={(35m/s3)t14.6m/s2−(1.5m/s3)t0s≤t≤0.40s0.40s≤t≤3.0s
A)How long does it take to accelerate to 60 mph ? Your answer, which seems impossibly short, is confirmed by track tests.
B)What acceleration would be needed to achieve the same speed in the same time at constant acceleration? Give your answer as a multiple of g .
a. Time to accelerate to 60 mph is 2.18 s.
b. The acceleration would be needed to achieve the same speed at the same time at constant acceleration is 12.3 m/s² or 1.26g.
The complete question is in the attachment. Convert the velocity unit from mph to m/s
1 miles = 1,609.344 m1 h = 3,600 sv = 60 mph = 60 miles/hoursThe object has acceleration so the object moves in a non-uniform motion.
v = u + at
u = initial velocity v = final velocitya = accelerationt = timeAccording to the model of acceleration, there is two part to acceleration. Between 0 - 0.4 s and between 0.4 s - 3 s.
From 0s - 0.4s
The initial velocity = u = 0a = (35t) m/s²t = 0.4 sFinal velocityFrom 0.4s - t
The initial velocity = final velocity from first partUsing quadratic formula to calculate the time
a = 1.5b = - 14.6c = 21.22t₁₂ = (- b ± (√(b² - 4ac))) ÷ 2a
t₁₂ = (14.6 ± (√((- 14.6)² - (4 × 1.5 × 21.22)))) ÷ (2 × 1.5)
t₁₂ = (14.6 ± (√(213.16 - 127.32)) ÷ 3.0
t₁₂ = (14.6 ± (√85.84) ÷ 3.0
t₁₂ = (14.6 ± 9.26) ÷ 3.0
t₁ = (14.6 - 9.26) ÷ 3.0 = 5.34 ÷ 3.0 = 1.78 st₂ = (14.6 - 9.26) ÷ 3.0 = 23.86 ÷ 3.0 = 7.95 st = 1.78 s
Time travel to reach 60 mph
t = t first part + t second part
t = 0.4 s + 1.78 s
t = 2.18 s
In a constant acceleration
t = 2.18 su = 0v = 60 mph = 26.82 m/sAcceleration due to gravity = 9.8 m/s²v = u + at
26.82 = 2.18a
a = 26.82 ÷ 2.18
a = 12.3 m/s²
a = (12.3 ÷ 9.8) g
a = 1.26g
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Three forces of 12, 15, and 20 Newtons are in equilibrium. If the 12 Newton force is directed horizontally to the right, what two configurations in a vertical plane may the other two forces have?
There are two possible configurations:
F1 is directed upwards with a magnitude of 15 N and F2 is directed downwards with a magnitude of 20 N.F1 is directed downwards with a magnitude of 15 N and F2 is directed upwards with a magnitude of 20 N.What is force?Force is a physical quantity that represents an interaction between objects. It is a vector quantity, meaning it has both magnitude and direction. Forces can cause objects to accelerate, change their shape, or change their velocity.
There are several types of forces, including gravitational forces, electromagnetic forces, and frictional forces. Force is measured in units of Newtons (N) and can be calculated using Newton's laws of motion. Force plays a crucial role in the study of physics, and understanding its behavior is essential for understanding the motion and interactions of objects in the world around us.
For the three forces to be in equilibrium, the sum of the forces in the x-direction must be equal to zero and the sum of the forces in the y-direction must also be equal to zero.
So, the horizontal force (12 N) is balanced by the sum of the other two forces:
12 N = F1 + F2
where F1 and F2 are the magnitudes of the other two forces.
Since the forces are in a vertical plane, one of the forces must be directed upwards and the other downwards.
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Energy is transmitted from the sun to Earth primarily through radiation, which, like gravitational force, obeys an inverse-square law. Show that the energy input at aphelion is 92% the intensity at perihelion. Does that difference explain the difference in surface temperature from winter to summer? Make a claim and argue from evidence.
The energy input at aphelion (farthest from the sun) is 92% of the intensity at perihelion (closest to the sun) because of the inverse-square law, which states that the intensity of radiation decreases with the square of the distance from the source.
How is the difference in surface temperature explained?However, the difference in energy input does not solely explain the difference in surface temperature from winter to summer.
Other factors, such as the Earth's axial tilt, atmospheric composition, and cloud cover also play a role in determining the surface temperature.
Evidence from climate models and observations indicate that changes in these factors, especially changes in the number of greenhouse gases in the atmosphere, can have a significant impact on global temperature patterns.
In conclusion, while the inverse-square law affects the intensity of solar radiation, it is not the sole factor in determining surface temperature, and the role of other factors must be considered to fully understand seasonal and climatic variations.
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In a physics lab, 0.500-kg cart (Cart A) moving rightward with a speed of 92.8 cm/s collides with a 1.50-kg cart (Cart B) moving leftward with a speed of 21.6 cm/s. The two carts stick together and move as a single object after the collision. Determine the post-collision speed of the two carts.
The speed of the two carts after the collision is 10 m/s.
What is momentum?
Momentum is a measure of an object's motion and is defined as the product of an object's mass and velocity. The SI unit of momentum is kilogram-meters per second (kg m/s).
In physics, momentum is an important concept in the study of motion and is related to the forces acting on an object. According to Newton's second law of motion, the momentum of an object changes when a force is applied to the object. The magnitude of the change in momentum is proportional to the size of the force and the time over which it is applied.
In collisions and other interactions between objects, the total momentum of the system is conserved, meaning that the total momentum before the interaction is equal to the total momentum after the interaction.
initial momentum = mA · vA1 + mB · vB1
final momentum = (mA + mB) · vAB2
Where:
mA = mass of cart A = 0.500 kg
vA1 = velocity of cart A before the collision = 100 m/s
mB = mass of cart B = 1.50 kg.
vB1 = velocity of cart B before the collision = - 20 m/s
vAB2 = velocity of the carts that move as a single object = unknown.
(notice that we have considered leftward as negative direction)
Since the momentum of system remains constant:
initial momentum = final momentum
mA · vA1 + mB · vB1 = (mA + mB) · vAB2
Solving for vAB2:
(mA · vA1 + mB · vB1) / (mA + mB) = vAB2
(0.500 kg · 100 m/s - 1.50 kg · 20 m/s) / (0.500 kg + 1.50 kg) = vAB2
vAB2 = 10 m/s
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A bottle of wine known as a magnum contains a volume of 1.5 liters. A bottle known as a jeroboam contains 0.792 U.S. gallons. How many magnums are there in 8 jeroboams?
Answer:
Explanation: =− And ..=. −=. = =. ( .. . ) ( . ..) =. Therefore = .=
A 100 kg person pushes a box up a ramp at constant speed. The mass of the box is 30 kg, the coefficient of kinetic friction between the box and the ramp is 0.2, and the ramp is inclined 25 degrees above the horizontal. The person (new at pushing boxes up ramps) pushes purely in the horizontal direction. HINT: you must draw complete FBDs to receive full credit. a) Find an expression for the magnitude of the normal force on the box due to the ramp. This answer should be left in variables, not numbers. b) Find the magnitude of the force on the box due to the person. c) Each step the person takes requires a force of static friction so that she does not slip. Find the magnitude of the force of static friction on the person due to the ramp. d) Find the minimum coefficient of static friction between the person's shoes and the ramp, so that this feat is possible.
Since cos(25) is approximately 0.906, the minimum coefficient of static friction is μs >= 0.906
How find the normal force?a) Substituting this into the previous equation, we get:
N - mg * sin(25) = μk * N
Solving for N, we get:
N = mg * sin(25) / (1 - μk)
b) Since the force applied by the person is horizontal, the horizontal component of the normal force must balance it. Therefore,
F = N * cos(25)
Solving for N, we get:
N = F / cos(25) = 0 / cos(25) = 0 N
c) Since the person is not slipping, the friction force must balance the horizontal component of the gravitational force. Therefore,
fs = μs * N
where μs is the coefficient of static friction.
Since N = mg * cos(25),
fs = μs * mg * cos(25)
d)Since cos(25) is approximately 0.906, the minimum coefficient of static friction is
μs >= 0.906
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Gas in a container is at a pressure of 1.6 x 10^5 Pa and a volume of 4.0 m^3. What is the work done by the gas if it expands at a constant pressure to twice its initial volume?
Answer: W = 6.4 x 10^5
Explanation: W = P x AV +(1.6x10^5 PA)(4M)
W = 6.4 x 10^5