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Physics 101 Mechanics Q&A Archive of May 6, 2023

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May 6 of 2023

2. Identical \( +1.8 \mu \mathrm{C} \) charges are fixed to adjacent corners of a square. What charge (magnitude and algebraic sign) should be fixed to one of the empty corners, so that the total electric potential at the remaining empty corner is \( 0 \mathrm{~V} \) ? Ans: \( \left(-3.1 \times…
On a windy day, a small tethered balloon is tethered by a long rope that makes an angle 70° to the ground. The vertical buoyant force of the balloon, exerted by the air, is 67 N. During a sudden gust of wind, the horizontal force of the wind is 200 N; the tension in the string is of 130 N.…
The 1.5 kg physics book in figure is connected by a string to a 450 g coffee cup. The book is given a push up the slope and released with a speed of 3.3 m/s . The coefficients of friction are μs =0.50 and μk =0.20. (Figure 1) Part A - What is the magnitude of the acceleration of the book on…
A projectile is fired from the top of a cliff of height 100m above the ocean below. The target was 50m above the ocean. If the projectile fired at angle 30 degrees and reaches the target after 10s find the initial velocity of the projectile
Part A - What is the terminal speed of the skydiver if they fall feet first? Part B - What is the skydiver's acceleration when reaching half of the terminal speed? (Still falling feet first.) A 78.0 kg skydiver can be modeled as a rectangular "box" with dimensions 21.0 cm × 47.0 cm × 181…
29) Prove that the moment of inertia of a uniform solid sphere, of mass \( M_{\text {and }} t \) radius \( r \), about a diameter is \( \left(2 M r^{2}\right) / 5 \). The sphere is placed in contact with a rough plane inclined at \( 30^{\circ} \) to the horizontal. On being released the…
6. The refractive indices of materials \( A \) and \( B \) have a ratio of \( n_{A} / n_{B}=1.33 \). The speed of light in material \( A \) is \( 1.25 \times 10^{8} \mathrm{~m} / \mathrm{s} \). What is the speed of light in material \( B \) ? Ans: \( \left(1.66 \times 10^{8} \mathrm{~m} /…
5. A spherical concave mirror has a radius of curvature of \( 6.0 \mathrm{~cm} \). At what distance from the mirror should a 6.0-cm object be placed to obtain an image that is \( 48 \mathrm{~cm} \) tall? Ans: \( (3.375 \mathrm{~cm} \) or \( 2.625 \mathrm{~cm} \) from the mirror)
The variable x represents the position of particle A in a two-particle system. Particle B remains at rest. The graph above shows potential energy U of the system as a function of x . 26. The x-component of the force on particle A when it is at x = 0.15 m is most nearly (A) –20 N (B) –2.0 N (C)…
The variable x represents the position of particle A in a two-particle system. Particle B remains at rest. The graph above shows potential energy U of the system as a function of x . 25. If the total energy of the system is -2.0 J, which of the following statements is true? (A) The…
Task B Trajectory Animation [ /30] The motion of two particles is described by the vectors r1(t) and r2(t): , Create an m-file called ‘TrajAnim.m’ for showing the animation of these trajectories: B1. Define r1(t) and r2(t) and/or the individual coordinate functions x1(t), y1(t), etc. in…
How much interest would be charged on bank loan of $270.00 for 8 months at the rate 5% simple interest per annum
A ladder leans against a vertical wall. Students in a physics lab conducted an experiment and found that the static friction of the floor is 0.300. One of the students wants to put a graduation decoration on the wall and they want to climb the ladder up to one-third of it
Advantages of storing data in a magnetic disk over a magnetic tape
25. \( \mathrm{K}-40 \) is one of the few naturally occurring radioactive isotopes of elements of low atomic number. Its per cent natural abundance is \( 0.012 \% \). How many \( \mathrm{K}-40 \) atoms do you ingest by drinking one cup of whole milk containing 370 \( \mathrm{mg} \mathrm{K} \)…
Impact craters over 1000 km in diameter are found on the surface of the Moon (comparably large impacts likely once pocked the Earth, but have since been eroded away). These were likely formed from the collisions of ~100 km asteroids with the Moon. Introduction to Mechanics Assignment…
Calculate the total capacitance for the circuit below
Imagine a spacecraft situated in deep space, far from any gravitational influences. It car- ries a gyroscope that is mounted on a pivot point as shown in the figure. The gyroscope is made of a spinning wheel (hoop) with a mass M = 0.5 kg and radius R = 0.2 m. The center of the wheel is at a…
9. Calculate the total capacitance for the circuit below (a) (b) (c)
7 QUESTION 3: (START ON A NEW PAGE.) A \( 2 \mathrm{~kg} \) wooden block is on a metal surface that is at \( 30^{\circ} \) to the horizontal. The wooden block is connected by a frictionless pulley to a \( 5 \mathrm{~kg} \) mass piece which is hanging vertically. The system is free to move. The…
Instead of buying a capacitor, you decide to make one. Your capacitor consists of two circular metal plates, each with a radius of \( 8 \mathrm{~cm} \). The plates are parallel to each other and separated by a distance of \( 1.5 \mathrm{~mm} \). You connect a 12 volt battery across the plates.…
Calculate the total capacitance if a \( 2 \mu \mathrm{F} \), a \( 4 \mu \mathrm{F} \), and a \( 10 \mu \mathrm{F} \) capacitor are connected in series.
5. Suppose I have a uniform electric field within a parallel plate capacitor with field strength of \( \mathrm{E}=41 \mathrm{~N} / \mathrm{C} \). Suppose the capacitor's plates are \( 0.4 \mathrm{~m} \) in length and \( .003 \mathrm{~m} \) in width, and the space between the plates is \( 2.5…
2. In this parallel-plate capacito, the plate is \( 0.5 \mathrm{~cm} \) and the area of each plate is \( 20 \mathrm{~cm}^{2} \). Calculate the area of each prate roltage across them.
1. A capacitor is labelled \( 1800 \mu \mathrm{F}, 5 \mathrm{~V} \). Calculate: a) Charge stored in the capacitor when it is fully charged. b) Energy stored in the capacitor when it is fully charged. 2. In this parallel-plate capacitor, the distance \( \mathrm{d} \) between the plates is \( 0.5…
2. In this parallel-plate capacitor, the distance \( \mathrm{d} \) between the plates is \( 0.5 \mathrm{~cm} \) and the area of each plate is \( 20 \mathrm{~cm}^{2} \).Calculate the voltage across them.
Question 31 In the accompanying circuit diagram, the battery, ammeter and connecting wires have negligible resistance values. When the switch is closed, the reading on the ammeter \( =2 \mathrm{~A} \) and the readings on both voltmeters are the same. 31.1 What are the readings on the…
1. A capacitor is labelled \( 1800 \mu \mathrm{F}, 5 \mathrm{~V} \). calculate: a) Charge stored in the capacitor when it is fully charged. b) Energy stored in the capacitor when itis fully charged.
Type question here (Keep it short & clear to get the best answer)
Type question here (Keep it short & clear to get the best answer)
A: Determine the angular momentum of a 75-g particle about the origin of coordinates when the particle is at x = 5.0 m, y = -5.8 m, and it has velocity υ = (3.5î - 8.3ķ) m/s. Find the x-component. B: Find the y-component. C: Find the z-component.
(b) Assume that the type of collision is not certain, and has to be determined theoretically. Given the mass of target (m2) equal to thrice the mass of projectile (m1), and the recoiled angles were found to be θ1 (60o) for m1 and θ2 (30o) for m2 respectively, from the measurements in this…
A particle is located at r⃗ =(3.7î+2.6ĵ+5.8k̂)m. A force F⃗ =(8.5j⃗ −4.2k⃗ )N acts on it. What is the torque, calculated about the origin? Enter your answers numerically separated by commas. Express your answer using two significant figures.
gear system
Assignmeriza \( \alpha \). kC.M..pg 171,172 \( \times 12 \) A moon sevinus about ine eavit so that we always see the same face of the mom.: (a) Find how the spin angulas omomentions and orbilat angular momentum of the moon chenge in spin angnlav momenturn of the moon So that we could see the…
gear system
If the local standard time in Makkah is 13:30 PM on March 21st, calculate the solar time. If the longitude (L) of the given location is 40.805° East while the longitude (Ls) at the standard meridian for the time zone is 44.43° East. EOT of every 21st of the months are given in the Table below
If The Coefficients Of Static And Kinetic Friction Between The 20- Kg Block A And The 100-Kg Cart B Are Both Essentially The
An important hydroelectric plant has a head of 100 m and water volumetric flowrate of 10,000 m3 /s. What is the maximum power that the plan can produce?
Type question here (Keep it short & clear to get the best answer)
A rock moves in uniform circular motion attached to a string. At point X the string is cut with a very sharp blade and the rock is no longer attached to the string. In what direction will the rock travel?
Student no; a***bc (a; second digit from the beginning, b; second digit from the end, c; last digit) Example: For a person with Student Number 203302315, a will get 0, b will get 1 and c will get 5 0.5m 60 N-m 25 mm Ti 25 mm T =82+2×(a+c)+b (N .m) The square cross-sectional shaft in…
show that angular momentum is not intrinsic property of any object
Student no; a***bc (a; second digit from the beginning, b; second digit from the end, c; last digit) Example: For a person with Student Number 203302315, a=0, b=1 and c=5 will be taken 80 160 - Dimensions it is in mm. a=-(150+5×a+5×b+10×c) (MPa) =-(250 -5×a-5×b-8×c) (MPa) E=10+c…
Student ID; a*bc (a; second digit from the beginning, b; second digit from the end, c; last digit) Example: For a person with Student Number 203302315, a=0, b=1 and c=5 will be taken 30+с P=1800+10xc (Newton) 50+b 30+a The dimensions are in mm units. The block in the figure is fixed on…
F :20 + c + a (kN) F2 : 25 - B (kN) E : 150 + a + 2.b + 3.c
Find the minimum shear stress
Öngermeli betonarme
Type question here (Keep it short & clear to get the best answer)
a rectangular prism id placed in region where electric field changes according to question: e= 15xi -17 yj - 2zk N/C. find the charge enclosed by prism
A body of mass m = 3 kg is hanging from a string rolled up on a small cylinder with a radius of 0.25m attached cat in the center of a disk of mass 5 kg and radius 0.5 m, allowing it to rotate. After the mass is released from standstill as the system accelerates. • what is the moment of inertia…
Two charges \( \mathrm{Q} 1=-1 \mu \mathrm{C} \) and \( \mathrm{Q} 2=+1 \mu \mathrm{C} \) are located on the \( \mathrm{y} \)-axis at \( \mathrm{y} 1=-3 \mathrm{~cm} \) and \( \mathrm{y} 2=+3 \) \( \mathrm{cm} \) respectively. A third charge \( \mathrm{Q} 3=+8 \mu \mathrm{C} \) is added on the…
The eyaation of a transterse wave daveling along a string is given by[y=(2.30 mathrm{~mm}) sin [(1822 mathrm{rad} / mathrm{m}) mathrm{x}-(588 mathrm{rad} / mathrm{s}) /]]Fund (a) the amplitade, (b) the frequency, (c) the velocity, (d) the wavelcagth of the wave, and (e) the maximum transverse…
Consider a cascaded dual-loop control system as shown in Figure 3, where the outer-loop controller 𝐶𝑝(𝑠)=1 is a proportional controller, the inner-loop controller 𝐶𝑣(𝑠)=1+1𝑠 is a Proportional Integral (PI) controller. The plant to be controlled is a concatenation of 𝐺𝑣(𝑠)=10𝑠+2 and 𝐺𝑝(𝑠)=1𝑠,…
A large stone is dropped from a bridge into a river. Air resistance can be ignored. What the is stones acceleration and speed?
gyroscope
3). Se dispara un proyectil de mortero con un ángulo de clevación de \( 30^{\circ} \) y una velocidad inicial de \( 40 \mathrm{~m} / \mathrm{s} \) sobre un terreno horizontal. Calcular: a) El tiempo que tarda en llegar a tierra ( duración de la trayectoria ). b) El alcance del proyectil. c) El…
4). Se dispone un cañón con un ángulo de tiro de \( 37^{\circ} \mathrm{y} \) una velocidad inicial de 196.8 pie/s, un tanque avanza alejándose del cañón a una velocidad de \( 10.8 \mathrm{Km} / \mathrm{h} \). Calcular la distancia entre el cañón y el tanque en el momento de disparo, para hacer…
WUn estudiante tira horizantalmente una pelota desde la ventana de un dormitorio \( 15 m \) camiba del suelo. Otroestudiante de pie a \( 10 \mathrm{~m} \) del dormitorio cacha la polota a una al tura de 1 bn arriba del suelo. ¿Cual es la velocidad inicial de la pelota?
A left circularly polarized beam \( \left(\lambda_{0}=5893 \AA\right) \) is incident normally on a calcite crystal (with its optic axis cut parallel to the surface) of thickness \( 0.010282 \mathrm{~mm} \). What will be the state of polarization of the emergent beam? \( n_{0}-n_{e}=0.17195 \)
26. While standing on the edge of a 50 foot cliff, Joe threw a rock up and over the edge of the cliff. The initial velocity of the rock was 80 feet per second and acceleration due to gravity is always a constant of 32 ft/sec^2. The height of an object t seconds after launch is given by the…
Contrust the reciprocal lattice of a two-dimensional lattice in which a =1.25 A, b=2.5 A and y=120 degrees
From \( \mathrm{t}=6 \) s to \( \mathrm{t}=10 \) s, the average speed of the fly is: A. \( 1 \mathrm{~m} / \mathrm{s} \) B. \( 4 \mathrm{~m} / \mathrm{s} \) C. \( 2.5 \mathrm{~m} / \mathrm{s} \) D. \( 0 \mathrm{~m} / \mathrm{s} \) E. \( -2.5 \mathrm{~m} / \mathrm{s} \)
2. [0/1 Points] DETAILS PREVIOUS ANSWERS SERPSE10 8.2.0P.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A block of mass \( 0.244 \mathrm{~kg} \) is placed on top of a light, vertical spring of force constant \( 4825 \mathrm{~N} / \mathrm{m} \) and pushed downward so that the spring is…
( 48 / 53 )Step 3: Measure the angle of reflection from the normal.Draw reflected ray and measure angle of reflection from the normal10. For each of the following incident rays, draw a line normal to the surface where the incident ray strikes the surface, and draw the reflected ray.11. Draw the…
how much heat must be added to 1 of water for half of it to be changed into steam? The latent heat of vaporization for water is 2.26*10^6 J/g.
A projectile is fired from the top of a cliff of height 100m above the ocean below. The target was 50m above the ocean. If the projectile fired at angle 30 degrees and reaches the target after 10s find the initial velocity of the projectile
The variable x represents the position of particle A in a two-particle system. Particle B remains at rest. The graph above shows potential energy U of the system as a function of x . 26. The x-component of the force on particle A when it is at x = 0.15 m is most nearly (A) –20 N (B) –2.0 N (C)…
A: Determine the angular momentum of a 75-g particle about the origin of coordinates when the particle is at x = 5.0 m, y = -5.8 m, and it has velocity υ = (3.5î - 8.3ķ) m/s. Find the x-component. B: Find the y-component. C: Find the z-component.
A particle is located at r⃗ =(3.7î+2.6ĵ+5.8k̂)m. A force F⃗ =(8.5j⃗ −4.2k⃗ )N acts on it. What is the torque, calculated about the origin? Enter your answers numerically separated by commas. Express your answer using two significant figures.
An important hydroelectric plant has a head of 100 m and water volumetric flowrate of 10,000 m3 /s. What is the maximum power that the plan can produce?
A rock moves in uniform circular motion attached to a string. At point X the string is cut with a very sharp blade and the rock is no longer attached to the string. In what direction will the rock travel?
A body of mass m = 3 kg is hanging from a string rolled up on a small cylinder with a radius of 0.25m attached cat in the center of a disk of mass 5 kg and radius 0.5 m, allowing it to rotate. After the mass is released from standstill as the system accelerates. • what is the moment of inertia…
26. While standing on the edge of a 50 foot cliff, Joe threw a rock up and over the edge of the cliff. The initial velocity of the rock was 80 feet per second and acceleration due to gravity is always a constant of 32 ft/sec^2. The height of an object t seconds after launch is given by the…
how much heat must be added to 1 of water for half of it to be changed into steam? The latent heat of vaporization for water is 2.26*10^6 J/g.