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Physics 101 Mechanics
May 2023
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Physics 101 Mechanics
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May 1, 2023
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May 1 of 2023
Berapakah kalor yang dibutuhkan untuk memanaskan sebatang besi yang massanya \( 5 \mathrm{~kg} \) dari suhu \( 50^{\circ} \mathrm{C} \) menjadi \( 120^{\circ} \mathrm{C} \) jika kalor jenis 460 \( \mathrm{J} / \mathrm{kg}^{\circ} \mathrm{C} \) ? Kalor yang diperlukan untuk merebus air sehingga…
what is the solution
If the energy stored in a \( 10 \mu \mathrm{F} \) capacitor that has been charged to \( 230 \mathrm{~V} \) is dissipated in \( 5.0 \mu \mathrm{s} \), find the power generated by the capacitor.
A circular lake (radius 1400 km and depth 10 m) absorbs solar energy at the rate per unit surface area P/A = 200 W/m^2. Assume the lake does not exchange energy with its surroundings. How must time is required to raise the temperature of the water from 4 ∘C to 17 ∘C
The connecting rod of an internal combustion four time engine is 22.5 mm long and has a mass 1.6 kg. The mass of the piston and gudgeon pin is 2.4 kg and the stroke is 150 mm. The cylinder bore is 112.5 mm. The center of gravity of the connecting rod is 1.50 mm from the small end. Its radius of…
The connecting rod of an internal combustion four time engine is 22.5 mm long and has a mass 1.6 kg. The mass of the piston and gudgeon pin is 2.4 kg and the stroke is 150 mm. The cylinder bore is 112.5 mm. The center of gravity of the connecting rod is 1.50 mm from the small end. Its radius of…
The radius of the outer carousel horses on the merry-go-round is 11m. For the safety of the riders, their maximum acceleration can only be 1 m/s/s. calculate the maximum period of rotation of the merry go round
A capacitor, \( C_{1}=400 \mu \mathrm{F} \), which has been charged to \( 120 \mathrm{~V} \) is connected across an uncharged capacitor, \( C_{2}=200 \mu \mathrm{F} \). Find the total energy stored in the two capacitors after the connection.
Estimate the total kinetic energy in a classroom: dimensions of the room = 4 m x 10 m x 3 m; temperature = 24 degree Celsius; pressure = 1 atm = 101.3 kPa. Air is 80% nitrogen and 20% oxygen, for which the molecular masses are 28 u and 32 u, respectively.
A grasshopper on a horizontal plane jumps with initial speed 3.40m/s; the initial direction is at angle 43 deg above the horizontal. At what distance will it land?
A truck begins pushing a car their masses are 2000kg and 650kg, respectively. The acceleration of the two vehicles is 1.2m/s/s. The truck's engine is driving the vehicles forward. The car is shifted into neutral with its engine off. calculate the force that the truck exerts on the car and the…
2. (10 point) Law of Wall/Backward Facing Step In the backward facing flow(Driver's case) with \( \operatorname{Re}=10,000 \) with a channel step height of \( H=2.54 \mathrm{~cm} \). The fluid has a viscosity of \( v=1.0 \times 10^{-6} \mathrm{~m}^{2} / \mathrm{s} \). The skin friction…
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4.(10 pts) Two-Equation Model As we know the standard \( k-\varepsilon \) specification of eddy viscosity \( v_{T}=C_{\mu} \frac{k^{2}}{\varepsilon} \) yields too large (the solid line on the chart) a turbulent viscosity in the near-wall region, as seen from the attached figure. The original \(…
Type question here (Keep it short & clear to get the best answer)
Type question here (Keep it short & clear to get the best answer)
Type question here (Keep it short & clear to get the best answer)
G Vour answer is partilly correct. In the figure, a horinontal scallold of length \( 2.08 \mathrm{~m} \) and uriform masi \( 55.9 \mathrm{~kg} \) is suspended from a building by twe cables. The scaffold has dogens of paint cans stacked on it at varicus points. The toeal mass of the point cans…
\begin{tabular}{lll|l|l|l|l|l} Converges at: & \( T=326.70 K \) & \( \gamma_{1}=1.3629 \) & \( \gamma_{2}=1.2523 \) & \( x_{1}=0.4602 \) & \( x_{2}=0.5398 \) \\ \cline { 1 - 4 } & & \end{tabular} (i) \( \times \) Collision Scheme NTC The Direct Simulation Monte Carlo (DSMC) collisional scheme…
nollage? (c) A coil of wire \( 4 \mathrm{~m} \) long has a resistance of \( 20 \Omega \). If its resistivity is \( 108 \times 10-8 \Omega \mathrm{m} \), find its area of cross-section ERROR ANALYSIS: Calculate the percentage error in the resistivity of \( \mathrm{Cu} \) and \( \mathrm{Al} \) if…
Static
Static
machine dynamics homework question
Static Question
Static Question
Calculate the maximum intensity of shear stress induced and the angle of twist produced in degrees of a solid shaft \( 100 \mathrm{~mm} \) dia,10 m long, transmitting 112.5 \( \mathrm{KW} \) at \( 150 \mathrm{rpm} \). Take \( \mathrm{C}=82 \mathrm{KN} / \mathrm{mm} 2 \).
A member which does not regain its original shape after removal of the load producing deformation is said a) Plastic b) Elastic c) Rigid d) None of the mentioned
The shaft located at E, between the finishing station and the rotary cutter, has a fine-ground or commercially polished surface Estimate the 2 x 105 fatigue strength for the 11-mm-diameter reversed axially loaded steel shaft having Su = 930 MPa, and Sy = 600 MPa. Take CG = 0.75. Submit your…
3. How does the downward component of projectile motion compare with free fall motion?
The figure below shows a segment of a wire of length \( 2 a \) on the \( y \)-axis and the current \( I \) in the wire is in the positive \( y \) direction. Find the magnetic field vector at a point \( P \) located on the \( x z \) plane where \( x=d \). Show that this is equivalent to the…
(10) [12 points] A reversible engine contains 0.20 moles of monatomic ideal gas. Initially, the gas is at 600 K and confined to 2.0 L. The gas undergoes the following cycle: (A)→(B) Isothermal expansion to 4.0 L. (B)→(C) Constant volume cooling to 300 K. (C)→(D) Isothermal compression to…
1. Estado de equilibrio mecánico de un cuerpo en que no se traslada, o lo hace con velocidad constante.
15. The diagram shows a micrometer scale. Which reading is shown? A \( \quad 5.64 \mathrm{~mm} \) B \( \quad 7.14 \mathrm{~mm} \) C \( \quad 7.16 \mathrm{~mm} \) D) \( 7.64 \mathrm{~mm} \)
Is it True that the total work is the same in all adiabatic processes between any two equilibrium states having the same kinetic and potential energies; Why ? Explain?
If a \( 3 \times 8 \) matrix \( A \) has rank 3 , find dimension \( \mathrm{Nul} \mathrm{A} \) and I 2 1 dimension of Row A \( 2,3 \quad 2 \) Show that if \( \mathrm{A} \) is \( n \times n \) symmetric matrix, then
A particle of mass m, moving at speed v = 0.879 c collides with an identical particle that is at rest. The two particles react to produce a new particle of mass M and nothing else. (a) What is the speed V of the composite particle? c (b) What is the mass of the particle? m
- Aircraft ( P ) takes off at ( A ) with a velocity ( v_{0} ) of ( 250 mathrm{kmh} ) and climbs in the vertical ( y^{prime} ) - ( z^{prime} ) plane at the constant ( 15^{circ} ) angle with an acceleration along its flight path of ( 0.8 mathrm{~m} / mathrm{s}^{2} ).- Flight progress is monitored…
2. A nurse pushes a patient in a wheelchair up a \( 9.7 \mathrm{~m} \) ramp with a force of \( 92 \mathrm{~N} \) parallel to the ramp. The patient and wheelchair have a total mass of \( 67 \mathrm{~kg} \) and the ramp is \( 0.8 \mathrm{~m} \) higher at the top than at the bottom. a. Calculate…
Discuss the balancing force on second larger piston for telescope arm and the buckets
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IIERSIT OF " 2023 PHYS131P1 Intro PhysiCS AZUUE-NATAL for Life Sciences \& Agriculture The refractive index of silicate flint glass is 1.66 for violet ( \( \lambda=400 \mathrm{~nm}) \) and 1.61 for red light ( \( \lambda=600 \) nm). Calculate the angle 0 angle of minimum deviation for the…
1. A \( 5.0 \times 10^{2} \mathrm{~kg} \) prize-winning pumpkin is raised from the ground to a truck platform, a distance of \( 1.02 \mathrm{~m} \). It takes a group of volunteers \( 3.3 \mathrm{~s} \) to lift the pumpkin onto the platform. Calculate; a. the work required to the raise the…
Find the average recoil force on a machine gun that is firing 150 bullets per minute, each with a speed of 900 ms Mass of each bullet is 12 g. Why 10 -3 is used in the solution.
please answer
11.1 The student notes the voltmeter readings and then adjusts the settings on the rheostat so that its resistance decreases considerably. State whether each of the following would be less than, greater than, or the same as before: \( R=r+r_{2} \) (1) 11.1.1 the reading on \( V_{1} \) 11.1.2…
(6. The diagram is the speed-time graph of an object which travels at constant speed of \( 42 \mathrm{~m} / \mathrm{s} \) for 4 seconds and then slows down uniformly, coming to rest after a further 3 seconds. Calculate (a) the speed of the object after 6 seconds, (b) the average speed of the…
Need solution of problem 2.1 mentioned in uploaded image.. Thanks
How to calculate instantaneous acceleration
Given the circuit diagram as shown below, solve por \( I_{T}, k_{T}, R_{2} V_{2}, V_{3} \) \( V_{5}, V_{G_{1}} I_{2}, I_{4} \) and \( I_{5} \)
2. Given the circuit diagram as shown below, solve for \( I_{T}, R_{T}, R_{2}, V_{2}, V_{2}, V_{5}, V_{5,} I_{2}, I_{4} \), and \( I_{5} \). Figure 2
b. Using equation (Q3.2) and equation (Q3.4), derive an analytical expression to solve for the maximum inversion pressure, \( P_{i, \max } \). Using the equation derived, first calculate the \( P_{i, \max } \) values and then plot the Joule-Thomson inversion curves for methane \(…
11. A \( -1.5 \mathrm{mC} \) charge is moving towards a stationary \( +6.8 \mathrm{mC} \) charge. What is the change in potential energy as the particle moves from \( 75 \mathrm{~cm} \) away from the stationary charge to only \( 33 \mathrm{~cm} \) from the stationary charge? Did the potential…
\( 40^{\circ} \mathrm{F} \) dal se, 0,12 in sipinda \( 30 \mathrm{ft} \) vantugmdak yakay a) kayif yiksetiaghin \( \left(h_{L}\right) \) b) basing divgionet (AP)
Worat4 als 2. \( \mathrm{i} * \mathrm{in}=\mathrm{in} \). it \( 1 r=m, x+1 \) ha. the trot Uran an L. 1 itim in int. 4. IIm ria o Morit.
Length of upper body (including head), L = 69cm OC = 0.554m Mass of body, M = 62kg OA = 0.304m /...... Mass of head and arms, m = 8.06kg OB = 0.414m W1 = 20+8.06=28.06kg W2 = 24.8kg please help to answer Investigation2-Vertically straight back Aim The aim of investigation 2 is to compare the…
Q19.The diagram shows the graph of force on a car against time when the car of mass 500 kg crashes into a wall without rebounding. Which one of the following statements is correct? A The area under the graph is equal to the initial momentum of the car B Momentum is not conserved in the…
Q18.A perfectly elastic rubber ball falls vertically from rest and rebounds from the floor. Which one of the following velocity-time, v–t, graphs best represents the motion from the moment of release to the top of the first rebound? A B C D
F1(kN) = 57,3 F2(kN)= 46 q1(kN/m)=45 Q2(kN/m) =46 M(kN.m)=230
F1(kN) = 57,3 F2(kN)= 46 q1(kN/m)=45 Q2(kN/m) =46 M(kN.m)=230
F1(kN) = 57,3 F2(kN)= 46 q1(kN/m)=45 Q2(kN/m) =46 M(kN.m)=230
The diagram shows a strobe photograph of a mark on a trolley X, moving from right to left, in collision with another trolley Y which had no mark on it. After the collision both trolleys are in motion together. Which one of the following is consistent with the photograph? A Trolley Y has the…
F(kN) = 146 M(kN.m)=138 q(kN/m)=72
a= 483
m : 21 n:4.2 l: 2.82 Lbck: 3.76 S: 1.41 mD:?
F2: 240 F3: 360 F1: ? F: ?
F2: 240 F3: 360 F1: ? F: ?
Design a memory system that contains \( 2 K \) byte of EPRoY, immediately followed by \( I K \) byte of RWM. The EPROM. starts at address \( 0000 \mathrm{H} \) and if is implemented by wing I Kbyte of EPROM. The RWM is implemented using 4 Kbyte RAM chps. Use decoder and gates for the…
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A ball of mass 500 grams moving towards the right with a speed of \( 4 \mathrm{~ms}^{-1} \) collides with a 300 grams ball at rest. The collision is perfectly elastic. Determine the velocity of each ball after collision.
A test rocket is fired straight up from rest with a net acceleration of 20.0 m/s2. After 4.00 seconds the motor turns off, but the rocket continues to coast upward with no appreciable air resistance. What maximum elevation does the rocket reach?
To determine the height of a flagpole, Abby throws a ball straight up and times it. She sees that the ball goes by the top of the pole after 0.50 s and then reaches the top of the pole again after a total elapsed time of 4.1 s. How high is the pole above the point where the ball was launched?…
A rock is dropped from the top of a vertical cliff and takes 3.00 s to reach the ground below the cliff. A second rock is thrown vertically from the cliff, and it takes this rock 2.00 s to reach the ground below the cliff from the time it is released. With what velocity was the second rock…
A package is dropped from a helicopter moving upward at 15m/s . If it takes 16.0m/s before the package strikes the ground, how high above the ground was the package when it was released if air resistance is negligible?
A ball rolls across a floor with an acceleration of 0.100 m/s2 in a direction opposite to its velocity. The ball has a velocity of 4.00 m/s after rolling a distance 6.00 m across the floor. What was the initial speed of the ball?
A projectile is launched on level ground. At the peak of its trajectory, it is 7.5 meters high. Itlands 10 meters from where it was launched. At what angle was the projectile launched?
A 3-kg block moving at 2-m/s collides with a 5-kg bob that is hanging at rest from a 2-m long string, as shown below. a. If the two object collide without deformation, to what angle will the 5-kg bob rise? (10pts)? b. What if the collision is completely inelastic
A 3-kg block moving at 2-m/s collides with a 5-kg bob that is hanging at rest from a 2-m long string, as shown below. a. If the two object collide without deformation, to what angle will the 5-kg bob rise? (10pts)? b. What if the collision is completely inelastic
Finite potential well Use this information to answer Question 1-2: Consider an electron in a finite potential with a depth of \( V_{0}=0.3 \mathrm{eV} \) and \( a \) width of \( 10 \mathrm{~nm} \). Find the lowest energy level. Give your answer in unit of \( \mathrm{eV} \). Answers within 5\%…
Aluminium can of mass 500 gm contain 117.5 gm of water at a temperature of 20 degree celcius .A 200 gm block of iron at a temperature of 75 degree celcius is dropped into the can . Find the final temperature assuming no heat loss to the surrounding. The specific heat capacity aluminium and iron…
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The above is a windload calculate the reaction forces at the two pin supports and maximum moment on both sides.
7. An engine pumps 2 tons of water in one minute to an average height of 10 m. Calculate the power of the engine if 30% of the energy is wasted in the process.
calculate the reaction forces at the pin supports and draw the moment and tension diagrams also show max moment on both sides
The above is the windload on a the roof calculate the reaction forces at the two pin supports and max moment on each side and draw the tension and moment diagram with their values
The above is the windload on a the roof calculate the reaction forces at the two pin supports and max moment on each side and draw the tension and moment diagram with their values
How far apart must the slits be to produce a 3rd order dark fringe at an angle of 8.31o when struck by light with a wavelength of 7.06x10-7m?
What is the wavelength of EMR that would produce a 3rd order bright fringe at an angle of 5.24o when sent through two slits that are 5.82x10-5m apart
What is the critical angle if a ray of light in Sodium Chloride (n=1.54) is headed into Quartz (n=1.46)
What is the index of refraction of the second medium if a ray that makes an angle 41.3o in Flint Glass (n=1.65) makes an angle of 45.0o in the new medium
What is the speed of light in a medium with an index of refraction n=1.95
A 5.00 cm tall object is placed 7.50 cm from a convex mirror with a focal length of 4.00 cm. What is the distance of the image from the mirror
A 10.0 cm tall object is placed 8.00 cm in front of a curved mirror and produces an image 6.00 cm in front of the mirror. What is the focal length of the mirror?
Liquid A is with mass 150 grams with volume of 7.5*10^-6m^3. Liquid B is with 100 Kg with volume 0.01 m^3. Which statement is true among the following? A. Liquid A will float on Liquid B B. they are with same density so neither float nor sink C. Liquid B will float on Liquid A D. Need…
What is the energy of a photon with a frequency of 3.17x1011 Hz
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What is the frequency of a photon of EMR with a wavelength of 2.55x10-3m
Type question here (Keep it short & clear to get the best answer)
Type question here (Keep it short & clear to get the best answer)
Type question here (Keep it short & clear to get the best answer)
Type question here (Keep it short & clear to get the best answer)
What's a pilot control valve?
\( 254 \mathrm{~nm} \) p 4. Adjust the stopping potential of the battery so that it just barely stops the current. Notice that there are two Ohethods for adjusting the potential (The adjustment slider or typing in the number in the voltage box). Use the method that allows for greater precision.…
Fully explain the importance of Plant Air Systems
Fully explain the importance of Plant Air Systems and the differences between plant air and instrument air.
What is the angle of the 2nd order bright fringe produced by two slits that are 8.25x10-5m apart if the wavelength of the incident light is 4.50x10-7m
What is the image distance if a 5.00 cm tall object is placed 10.0 cm from a converging lens with a focal length of 5.75 cm
What is the index of refraction of the second medium if a ray that makes an angle 41.3o in Flint Glass (n=1.65) makes an angle of 45.0o in the new medium
What is the height of an image produced by a curved mirror if a 10.0 cm tall object is placed 8.00 cm from the mirror and produces an image 4.00 cm behind the mirror?
What is the energy of a photon with a frequency of 9.48x1013 Hz
What is the energy of a photon with a frequency of 9.48x1013 Hz
What is the wavelength of a photon of EMR with a frequency of 2.43x1016Hz
What is the wavelength of a photon of EMR with a frequency of 2.43x1016Hz
Calculate the total change in entropy Δ? if ?1=4.55 kg of water at ?1=29.5 ∘C is mixed with ?2=7.75 kg of water at ?2=79.5 ∘C. The specific heat of water is 4186 J/(kg·K).
A circular lake (radius 1400 km and depth 10 m) absorbs solar energy at the rate per unit surface area P/A = 200 W/m^2. Assume the lake does not exchange energy with its surroundings. How must time is required to raise the temperature of the water from 4 ∘C to 17 ∘C
The connecting rod of an internal combustion four time engine is 22.5 mm long and has a mass 1.6 kg. The mass of the piston and gudgeon pin is 2.4 kg and the stroke is 150 mm. The cylinder bore is 112.5 mm. The center of gravity of the connecting rod is 1.50 mm from the small end. Its radius of…
The radius of the outer carousel horses on the merry-go-round is 11m. For the safety of the riders, their maximum acceleration can only be 1 m/s/s. calculate the maximum period of rotation of the merry go round
Estimate the total kinetic energy in a classroom: dimensions of the room = 4 m x 10 m x 3 m; temperature = 24 degree Celsius; pressure = 1 atm = 101.3 kPa. Air is 80% nitrogen and 20% oxygen, for which the molecular masses are 28 u and 32 u, respectively.
A grasshopper on a horizontal plane jumps with initial speed 3.40m/s; the initial direction is at angle 43 deg above the horizontal. At what distance will it land?
A truck begins pushing a car their masses are 2000kg and 650kg, respectively. The acceleration of the two vehicles is 1.2m/s/s. The truck's engine is driving the vehicles forward. The car is shifted into neutral with its engine off. calculate the force that the truck exerts on the car and the…
A particle of mass m, moving at speed v = 0.879 c collides with an identical particle that is at rest. The two particles react to produce a new particle of mass M and nothing else. (a) What is the speed V of the composite particle? c (b) What is the mass of the particle? m
please answer
Q19.The diagram shows the graph of force on a car against time when the car of mass 500 kg crashes into a wall without rebounding. Which one of the following statements is correct? A The area under the graph is equal to the initial momentum of the car B Momentum is not conserved in the…
Q18.A perfectly elastic rubber ball falls vertically from rest and rebounds from the floor. Which one of the following velocity-time, v–t, graphs best represents the motion from the moment of release to the top of the first rebound? A B C D
A test rocket is fired straight up from rest with a net acceleration of 20.0 m/s2. After 4.00 seconds the motor turns off, but the rocket continues to coast upward with no appreciable air resistance. What maximum elevation does the rocket reach?
To determine the height of a flagpole, Abby throws a ball straight up and times it. She sees that the ball goes by the top of the pole after 0.50 s and then reaches the top of the pole again after a total elapsed time of 4.1 s. How high is the pole above the point where the ball was launched?…
A rock is dropped from the top of a vertical cliff and takes 3.00 s to reach the ground below the cliff. A second rock is thrown vertically from the cliff, and it takes this rock 2.00 s to reach the ground below the cliff from the time it is released. With what velocity was the second rock…
A package is dropped from a helicopter moving upward at 15m/s . If it takes 16.0m/s before the package strikes the ground, how high above the ground was the package when it was released if air resistance is negligible?
A ball rolls across a floor with an acceleration of 0.100 m/s2 in a direction opposite to its velocity. The ball has a velocity of 4.00 m/s after rolling a distance 6.00 m across the floor. What was the initial speed of the ball?
A 3-kg block moving at 2-m/s collides with a 5-kg bob that is hanging at rest from a 2-m long string, as shown below. a. If the two object collide without deformation, to what angle will the 5-kg bob rise? (10pts)? b. What if the collision is completely inelastic
A 3-kg block moving at 2-m/s collides with a 5-kg bob that is hanging at rest from a 2-m long string, as shown below. a. If the two object collide without deformation, to what angle will the 5-kg bob rise? (10pts)? b. What if the collision is completely inelastic
How far apart must the slits be to produce a 3rd order dark fringe at an angle of 8.31o when struck by light with a wavelength of 7.06x10-7m?
What is the wavelength of EMR that would produce a 3rd order bright fringe at an angle of 5.24o when sent through two slits that are 5.82x10-5m apart
What is the critical angle if a ray of light in Sodium Chloride (n=1.54) is headed into Quartz (n=1.46)
What is the index of refraction of the second medium if a ray that makes an angle 41.3o in Flint Glass (n=1.65) makes an angle of 45.0o in the new medium
What is the speed of light in a medium with an index of refraction n=1.95
A 5.00 cm tall object is placed 7.50 cm from a convex mirror with a focal length of 4.00 cm. What is the distance of the image from the mirror
A 10.0 cm tall object is placed 8.00 cm in front of a curved mirror and produces an image 6.00 cm in front of the mirror. What is the focal length of the mirror?
Liquid A is with mass 150 grams with volume of 7.5*10^-6m^3. Liquid B is with 100 Kg with volume 0.01 m^3. Which statement is true among the following? A. Liquid A will float on Liquid B B. they are with same density so neither float nor sink C. Liquid B will float on Liquid A D. Need…
What is the energy of a photon with a frequency of 3.17x1011 Hz
thoughtful
thoughtful
What is the frequency of a photon of EMR with a wavelength of 2.55x10-3m
What's a pilot control valve?
What is the angle of the 2nd order bright fringe produced by two slits that are 8.25x10-5m apart if the wavelength of the incident light is 4.50x10-7m
What is the image distance if a 5.00 cm tall object is placed 10.0 cm from a converging lens with a focal length of 5.75 cm
What is the index of refraction of the second medium if a ray that makes an angle 41.3o in Flint Glass (n=1.65) makes an angle of 45.0o in the new medium
What is the height of an image produced by a curved mirror if a 10.0 cm tall object is placed 8.00 cm from the mirror and produces an image 4.00 cm behind the mirror?
What is the energy of a photon with a frequency of 9.48x1013 Hz
What is the energy of a photon with a frequency of 9.48x1013 Hz
What is the wavelength of a photon of EMR with a frequency of 2.43x1016Hz
What is the wavelength of a photon of EMR with a frequency of 2.43x1016Hz
Calculate the total change in entropy Δ? if ?1=4.55 kg of water at ?1=29.5 ∘C is mixed with ?2=7.75 kg of water at ?2=79.5 ∘C. The specific heat of water is 4186 J/(kg·K).