including everything because it is finial examThe file include the questions and the formulas. Please use the formulas from the formula sheet otherwise I will get ZERO. Show all the work to get full credit.
PHYSICS 110 – Final ExamName: Total: __/100Each multiple choice question is worth 4 points – you must circle the most correct answer (2 points) and explain your reasoning/show your work (2 points).Forces are applied to blocks connected by a string (weightless) resting on a frictionless surface. Each block has a mass m = 1 kg. While acting, the two given forces have the magnitudes F1 = 5.0 N and F2 = 8.0 N, being oriented like in the picture below. What is the acceleration of the entire system? A. 1.5 m/s2 B. 3 m/s2 C. 6.5 m/s2 D. 13 m/s2 Show your formula/equation and work for this question.
Suppose a 70 kg adult wants to act like a kid again and go down a 305 cm frictionless slide. What is the final speed of the adult once she reaches the bottom of the slide? A. 4.57 m/s B. 7.73 m/s C. 45.7 m/s D. 77.3 m/s Show your formula/equation and work for this question.
A 15 kg child runs at 5.0 m/s and jumps onto a 25 kg shopping cart initially at rest. Assuming the child rides on the cart after the collision, the speed of the child and shopping cart, just after the child jumps on, is A. zero. B. 1.25 m/s. C. 1.88 m/s. D. 5.00 m/s.Show your formula/equation and work for this question.
Suppose I wanted to move to planet Tesla which has an acceleration due to gravity of 11.9 m/s2…I would weigh _ on Tesla as compared to Earth.A. lessB. moreC. the sameD. not enough information to answerCarefully explain your reasoning and/or the equation you used for your answer.For the 2 short answer/ranking questions, you will use the information from the picture and table below to answer the questions. You must show your work (2 points), rank the letters correctly (1 point) and carefully explain your reasoning and/or the equation you used for your answers (1 point).
In the picture below, a 10 Volt battery is connected to 3 resistors R1, R2, and R3 in a series circuit with various resistances as given in the table below. Rank the combinations in order from highest current to lowest current in Amps for each combination.
Rank the combinations of resistors on the basis of the reading on the voltage from the voltmeter for R3 only from lowest voltage to highest voltage.CombinationABCDEFR1 value421614R2 value532533R3 value312452For the problems, you must start with a standard physics formula from the equation sheet provided. All work must be shown for partial credit.1.(6 points) Determine the number of protons, electrons, and neutrons ineach isotope.a.𝐼𝐼𝐼𝐼b.195 77 209 82𝑃𝑃𝑃𝑃c.7331𝐺𝐺𝐺𝐺2.(6 points) Write the mass number, atomic number, and chemical symbolfor the following isotopes:a.13 protons, 13 electrons, 15 neutronsb.76 protons, 76 electrons, 115 neutronsc.88 protons, 88 electrons, 138 neutrons3.(6 points) Fill in the blanks for the nuclear reactions below:a.5727Co + 0−1e _b.23092U _ + 42Hec.12656Ba 12655Cs +
(8 points) Find the current I and the resistance R of a 100 Watt light bulb that has a voltage of 120 Volts.
(6 points) Assume that one person has a mass of 77.4 kg and another person has a mass of 83.6 kg and you are both separated by 60 centimeters. Calculate the gravitational force between the two people. Is the force greater than or less than the weight of an apple (1 Newton)?
(8 points) A cylinder (mass = 5000 g, radius = 10 cm, moment of inertia = ½ MR2) spins at a rate of 30 rpm. What is the angular momentum of the cylinder?
(4 points) For a sound wave with a speed of 344 m/s and a frequency of 50 Hz, what is the wavelength of the sound wave? It is bigger or smaller than LeBron James (height = 2.03 m)?
(6 points) One of the two stars (Tatoo 1) that one can see from the surface of Tatooine (Luke Skywalker’s home planet) has a temperature of 6000 K…what is the temperature of this star in Celsius and Fahrenheit? Compare the values to the Sun’s value of 9800 °F…which object is hotter?
(6 points) If you are looking down at a shark (not safe to do) that is 0.54 m below the surface, what is the apparent location of the shark? (The index of refraction of air is 1.00 and the index of refraction of water is 1.33.)
Hawkeye shoots his arrow with vix = 15.5 m/s and viy = 20.4 m/s.a. (8 points) Ignoring air resistance, what are the values of vx (horizontal velocity) and vy (vertical velocity) of the arrow when t = 2.50 sec?b. (6 points) How far away from the launch point does the arrow land?c. (Extra credit worth up to 6 points) How high is the arrow above the ground at its highest point?Formulas and values needed:acceleration due to gravity on Earth (g) = 9.8 m/s2G = 6.67 x 10-11 N m2/kg2c (speed of light) = 3 x 108 m/sh (Planck’s constant) = 6.62 x 10-34 Jsk (Coulomb’s constant) = 9.0 x 109 N m2/C2100 cm = 1 m1000 m = 1 km1000 g = 1 kg1.6 km = 1 miletimeelocityncceleratiova=timedistancevelocity=initialfinalvelocityvelocityvelocity−=Δ221rMGMFG=yy,netxx,netmaFmaF==2112FFonon−=For the x (horizontal) axis: For the y (vertical) axis:vfx = vix + axΔt vfy = viy + ayΔtΔx = vixΔt + ½ ax(Δt)2 Δy = viyΔt + ½ ay(Δt)2vfx2 = vix2 + 2axΔx vfy2 = viy2 + 2ayΔyFor projectile motion:Fg = ma =ForceGravity = mass x accelerationWeight = mass x gdistance = ½ gt2ay = –9.8 m/s2ax = 0vfx = vixθαωωαωθθαωωΔ+=++=+=2212022000ttt1 revolution = 2π radians = 360 degreesavtΔΔ=θωω=rvt at=rα avtΔΔ=ωαGravitational Potential Energy Ug = mghSpring Potential Energy Us = ½ k(Δx)2 where k = spring constantm2pK2=UKE+=Conservation of Energy: Ki + Ugi = Kf + UgfMomentum (p) = mass x velocity2mv21K=Δp = Fnet x t madFdW==KWnetΔ=Δp = pf – pi())(2122112121inelasticvmmvmvmppppppfiiffiifi+=++=+=())(221122112121elasticvmvmvmvmppppppffiiffiifi+=++=+=L (angular momentum) = mvr ωIL=p (momentum) = mv (I = inertia) ffiifiIILLωω==Current (I) = charge/timeVoltage (Volts) = Current (Amps) x Resistance (Ohms)Power (Watts) = IV = I2RRseries = R1+R2+R3+…1/Rparallel = 1/R1+1/R2+1/R3 + …Temperature conversions (TK = Kelvin temperature, TC = Celsius temperature, TF = Fahrenheit temperature):TK = TC + 273TC = TK – 273 TF = 1.8TC + 32TC = (TF – 32) / 1.8AreaForceessure=PrVolumemassdensity=ρQ(heat) = mcΔT (m = mass, c = specific heat, ΔT = temp change)Qmelt = mLfusion + mcΔTQboil = mLvaporization + mcΔTQmelt and boil = mLfusion + mLvaporization + mcΔTFBuoyancy = ρfluid gVsubmerged (if sinking)FBuoyancy = mass of object x g [i.e. weight] (if floating)velocity = wavelength/period = frequency x wavelengthPlanck’s Law: energy = _ hxc_ = h x frequencywavelengthindex of refraction (n) = speed of light in vacuumspeed of light in mediumApparent depth equation: where i = image location (apparent distance/depth), o = object distance (actual distance/depth), n2 = index of refraction of observer’s location, and n1 = index of refraction of image/object location =12nnoiac=v2r=rω2=ωvtWtEPav=ΔΔ= 322aGM4Tπ=RGMvescape2=rGMv= rvmmaF2cr==
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