Question 1 (5 points) An 77 g box is attached to a horizontal spring with a force constant of 72 N/m. The spring is compressed 12 cm and the system is released. Start with a diagram before solving the questions below. a) What is the speed of the box when the spring is stretched by 6.0 cm? b) What is the maximum speed of the box? Question 2 (6 points) A 0.2 kg baseball (object 1) is thrown with a velocity of 45 m/s [E] and it hits a stationary 6 kg bowling ball (object 2), causing an elastic collision to take place. (Note: the balls are labelled object 1 and 2 just to make the subscripts easier to deal with.) a) What are the velocities (including direction) of the baseball and the bowling ball? Start with before & after diagrams. [5 marks] b) Why was it important for the question to state that this were an elastic collision? What assumption could not be made without that information? (Please keep your response to only 1-2 sentences.) Question 3 (3 points) A 14 kg box is sliding along the ice at 12 m/s toward a stationary 10 kg box. If the collision between the two boxes is completely inelastic, how much kinetic energy is lost to some other form during the collision?SPH 4U - Formula Sheet FORCES ELECTRIC FIELDS MOTION F = mg Ad d, - d F. = kq192 9 = Ne 1 2 6= kq1 At At F, = UFN Fre = ma EF = kq,92 V = = kq, 6 = 2 Fret = F, + F, + ... Ad = VitV z At = 4n' rf2 MODERN PHYSICS 2 a = E = hf Ex = E photon - W day = _ Av > am = - - V2 - V, At At T2 Eren = mc' Ex = hf - W Ad = VAt+ - a At2 Fo =- Gm,my Cs = Tz 2 7-2 At At= Ad = v,At -- a At2 GM GM g = V2 = v + 2a Ad Lol = Lyq/ 1 - MY NOTES MOMENTUM & ENERGY WAVES & LIGHT W = FAd cose Vwave = f2 Vwave = W = AE Ex = - mv S = N 2 At T = At N E, = mgAh sin e _2 E =- kx sin 02 F = kx n, sin 0, = n2 sin @2 p = mv |P.S, - P. S.|=(1 --2 Ap = FAt = mAv sin 0, = *. = (n - 1/2) a mvAtmsVs =mustmgV'sPhysical Constants SI Prefixes & Conversion Factors Quantity Symbol Approximate value Name of Prefix Symbol of Conversion speed of light in a vacuum 3.00 x 10 m/'s Prefix Factor gravitational constant G 6.67 x 10 Nm /kg exa E 1018 Coulomb's constan |9.00 x 10 Nm /C peta# 10 charge on electron -e -1.60 x 10"C tera# 10 # charge on proton 1.60 x 10 C giga# 10# electron mass 9.11 x 10" kg megat 10'# proton mass 1.673 x 10"kg kilo# 10'# neutron mass 1.675 x 10 kg hecto 10-# atomic mass unit 1.660 x 10 kg deca da 10 # Planck's constant 6.63 x 10 J's # 10# decin d 10 # Coefficients of Kinetic Friction and Static Friction centi# C 10"# milli# Materials in contact m HK 10"# Hs mirco# oak on oak, dry 0.30 0.40 nano# 10"# waxed hickory on wet snow 0.18 0.22 pico# 10- waxed hickory on dry snow 0.04 0.06 femto# Copper on copper 1.0 1.6 atto# # 1-0 steel on steel, dry 0.41 0.60 Example: lug =10*g 1g=10 ug steel on steel, greasy 0.12 0.18 steel on ice 0.010 The Electrostatic Series `rubber on asphalt, dry 1.07 1.2 acetate rubber on asphalt, wet 0.95 weak hold on electrons 1.0 glass rubber on concrete, dry 1.02 1.0 wool rubber on concrete, wet 0.97 0.99 rubber on ice cat fur, human hair 0.005 0.006 calcium, magnesium, lead leather on oak, dry 0.50 0.70 silk increasing aluminum, zinc tendency The Speed of Sound in Common Materials cotton to gain State paraffin wax electrons Material Speed at 0*C (m/s) cbonite aluminum $104 _polyethylene (plastic) glass 5050 carbon, copper, nicke solid steel 5050 rubber maple wood 4110 sulphur bone (human) 4040 platinum, gold pine wood 3320 strong hold on electrons solid/liquid brain 1530 fresh water 1493 (at 25"C) Solar, Terrestrial and Lunar Data liquid sea wate 1470 (varies Quantity Symbol Approximate value alcohol 1241 mass of Sun ms 1.99 x 10 kg hydrogen 1270 radius of Sun Is 6.96 x 10 m helium 970 gas mass of Earth ME 5.98 x 10 kg (at atmospheric nitrogen 350 (at 20 C) radius of Earth at equator (mean) 6.38 x 10 m pressure) 332 radius of Earth's orbit (mean) 1.50 x 10" m oxygen 317 acceleration due to gravity carbon dioxide 258 on Earth at equator 9.7804 m/'s (sea level) Specific Heat Capacities of Common Substances on Earth at poles (sca g 9.8322 m/'s Specific heat Specific heat level) Substance capacity Substance capacity on the Moon 1.62 m's J/(kgeo Earth-Moon distance (mean) 3.84 x 10* m glass 8.4 x 10 water 4.18 x 10 mass of Moon my 7.35 x 10" kg iron 4.5 x 10 alcohol 2.5 x 10 radius of the Moon (mean) I'M 1.74 x 10* m brass 3.8 x 10 ice 2.1 x 10 Period of orbit TMO 2.36 * 10* s silver 2.4 x 10 steam 2.1 x 10 radius of the Moon's orbit (mean) IMO 3.84 x 10# m lead 1.3 x 10 aluminum 9.2 x 10 Earth-Sun distance (mean 1.50 * 10 m standard atmospheric pressure Patmm I atm or 1.013 x 10 Pa Important Mathematical Relationships for Physics length of Earth year 3.16 x 10's sin 0 = 4 COSINE LAW QUADRATIC EQUATION H cos 0 = # c' = a +b' -2abcosC ax +bx+ c=0 tan 0 = 0 O SINE LAW C QUADRATIC FORMULA sin A sin B sin C - bevb' - 4ac 2 a A a