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Physics 12 Unit 02B Momentum Dynamics Name: 1 Archie has a mass of 75 kg and a speed of 8.0 nv/s. Determine his momentum and kinetic energy. 2 Find the energy and momentum of a photon A) of red light of wavelength 689 nm. B) of 1.5x10" Hz UV photon. C) of a green laser beam of power 1 mW fired for 10 s of wavelength of 550 1 et photon energy, beam energy, # af photans, phaten mementum, beam momentum in that order) 3 Veronica has a mass of 60 kg and an initial speed of 5.0 m/s. She slows down with an impulse of =100 N-s. Find her final speed. -3 i Jughead has an initial speed of 2.5 m/s and a final speed of 5.5 m/s afier experiencing an impulse of 240 N-s. Determine his mass. 5 Reggie hits a 150 g baseball with an overall force of 7 369 N [E 30" U] {his force and the force of gravity combined}. The collision takes 1.25 ms. The initial velocity of the ball is 144 km/h [W]. Determine the final velocity of the ball. 6 Betty has a mass of 60 kg and is standing at rest on a raft of 20 kg moving at 5.0 m/s [E]. She starts walking East at 2.0 m/s relative to the raft. Determine the new velocity of the rafl relative to the river bank. 7 Moose the astronaut with a backpack have a mass 150 kg. He is on a spacewalk and is stranded 10 m away from the space station hatch. He removes and throws his 25 kg pack away from the space station with 500 N of force for 0.50 s. How long will it take Moose to reach the hatch? 8. A 50 kg figure skater moving West at 18 m/s and collides with a 90 kg hockey player moving East at 12 m/s. They collide perfectly elastically determine their final velocities. 9. A quarter tonne bike runs a red light doing 180 km/h [N]. A 10 tonne delivery truck is making a turn at 36 kmv'h [NE] when the bike collided into it. If they become stuck together then determine their final velocity and heat loss. 10. A 20 kg curling rock was tampered with and some TNT was placed in its center providing 4 184 1 per g. The rock is initially moving forward at 5 m/s and then the TNT detonates splitting the rock into 3 pieces. An 10 kg pieces flies forward at 100 m/s and a 6 kg piece flies right at 150 m/s. Find the velocity of the 3rd piece and the amount of TNT used to cause this ridiculous sabotage 11 Midge has a mass of 50 kg and an initial velocity of 5.0 m/s [N]. She grabs onto a shopping cart at rest of mass 20 kg in a manner that is perfectly inelastic. Determine the velocity of Midge and the cart after the she grabs onto it 12 Sabrina the teenage witch animates a tennis ball of mass of 60 g to fly west at 108 km/h. It collided perfectly elastically with the back of Dilton's head. Dilton has a mass of 60 kg and an initial veloeity of 3.0 m/s [W]. Determine the final velocities of the tennis ball and Dilton. Perhaps the genius Dilton shouldn't say he is a supporter of the Salem witch trials in front of Sabrina. -t 13 Chuck shoots a cue ball at 20 m/s, which then strikes the eight ball directly. The eight ball has twice the mass and the collision is perfectly elastic. Determine the final velocities of the cue ball and eight ball. 14 Mr. Weatherbee has a mass of 100 kg and an initial velocity of 3.41 m/s [E]. A 1.0 g superfly flying at west at Mach 10 accidentally collides with him, slowing him down to 3.40659 m/s. Find the new velocity of the superfly and determine the if the collision was relatively elastic or inelastic by checking the energy lost in the collision which generates heat, sound, vibrations and light. 15 Pop Tate has a mass of 100 kg and velocity of 1.0m/s [N]. He collides with Ethel who has a mass of 50 kg and velocity of 4.0 m/s [E]. Determine their final velocities if they hold onto each other (inelastic collision)? 12 16 Coach Clayton and Mr. Lodge both have a mass of 80 kg, They have respective initial velocities of 1.0 m/s [E] and 2.0 m/s [N] and collide. Mr. Lodge ends up moving NE at 1.5 m/s. Determine the final velocity of Coach Clayton. Check if it is relatively elastic or inelastic ex. I total initial kinetic energy was 100 J and heat loss was 0.1 J that is more elastic but if it is 40 J that is more inelastic for sure. 17 An X-ray photon has a frequency of 5= 10' Hz 1s moving East absorbed by a Hydrogen atom initially moving West at 1m/s. Determine the final velocity of the Hydrogen atom and the heat loss in electronVolis (1eV = 1L.6=107" 1) 18 Nancy, Cheryl and Maria conduct an experiment in a particle accelerator. They cause two protons to collide perfectly elastically at 0.90 (90% the speed of light) at an angle of 30 as shown below. Proton A ends up moving at 0.90 [Fwd 60 Up]. Determine the final velocity of the proton B. Answer in terms of the speed of light (ex. 0.50 [NE]). 19 Jason tries to land a 10 455 kg CF-18 Hornet jet plane on the deck of a 100 000 tonne barge which is initially moving East at 18 km'h relative to the ocean. The coefficient of friction between the planes braked wheels and the deck is 0.97. Determine the minimum length of the deck for the plane to stop safely if the plane touches down on the rear edge of the barge at 100 m/s [E] relative to the ocean. Determine the final velocity of the jet and barge. 20 Harvey is flying a 13 300 kg F35 Lighting fighter at 200 m/s at an altitude of 400 m. He fires a single 100 g bullet directly forward which slows the fighter down to 1999 m/s. Ignoring air friction determine how far the bullet will ravel before hitting the ground. THIS IS MOIFIED FROM A WATERLOO SIR 1SAAC NEWTON COMPEITION TEST Archie p = 600 kg-m/s [Fwd] & K = 2400 J 1 eV = 1.6*10-19 J (electron-Volt) 2 - Photon A) Py =7 h _9.62x10 2kg-m/s & 1.80 eV B) P, = -=3.31x10-27N-s & 9.93 eV C) Pheam = 3.33x 10-2N-S with -2.8 million photons 3 - Veronica V' =3.3 m/'s [Fwd] 4 - Jughead m =80 kg 5 - Reggie V. =13.181 m/'s [E] and v, =30.704 m/s [Up] and v =120 km/h [E 66.8" Up] 6 - Betty Vran = 3.5 m/'s [forward rel. shore] and VBatty =5.5 m/s [forward rel. shore] 7 - Moose t = 5 s 8 - Skater Collision - unavailable, check with your peers. 9 - Vehicle Collision - unavailable, check with your peers. 10 - Curling Sabotage - unavailable, check with your peers. 11 - Midge V =3.57 m/s [N] 0.060(30)2 60(3) 0.060V Ball 60 Dirton 12 - Sabrina 0.060(30)+ 60(3) = 0.060V'Sair + 60V Diran & 2 2 2 V'Dillon = 3.05 m's [W] but not 3.00 m/s [W] 13- Chuck Vene =-20/3 or 6.6 m/'s [reverse] and Veight =+40/3 or 13.3 m/s [forward] 14 -Mr. Weatherbee 100(3.41000)+0.001(-3410) = 100(3.40659)+0.001vswer & 100(3.41000)3 0.001(-3410) 100(3.406597 0.001 Vsumnfly = Mach 9 [West] ? =1 106 J 15 - Pop Tate & Ethel VPop& Ethel = 1.49 m/s [N 63.4" E] 16 - Coach Clayton and Mr. Lodge VCoach = 0.886 m/s [N 86.3" W] 17- X-ray Pxray + PH = PH ht + myVH = myVH VH = 66.6 m/'s 18 - Nancy, Cheryl and Maria V Pop& Ethel = 0.90 c [Rew 60" Dwn] F = m a plane & v - v. = 2 a d plane 19 - 10455(100)+10'(5) = (107 +10455)v' v' =5.099 22 m/'s [Fwd] -/ mg = m a plane plane = 524.6 m V - V, = at plane & dhoat 2 plane same as boat & Lbout = plane - boat plane = 9.98325 s dboat = 50.4 m hoat = 474.2 m 20 - F35 - unavailable, check with your peers.Archie p = 600 kg-m/s [Fwd] & K = 2400 J 1 eV = 1.6*10-19 J (electron-Volt) 2 - Photon A) Py =7 h _9.62x10 2kg-m/s & 1.80 eV B) P, = -=3.31x10-27N-s & 9.93 eV C) Pheam = 3.33x 10-2N-S with -2.8 million photons 3 - Veronica V' =3.3 m/'s [Fwd] 4 - Jughead m =80 kg 5 - Reggie V. =13.181 m/'s [E] and v, =30.704 m/s [Up] and v =120 km/h [E 66.8" Up] 6 - Betty Vran = 3.5 m/'s [forward rel. shore] and VBatty =5.5 m/s [forward rel. shore] 7 - Moose t = 5 s 8 - Skater Collision - unavailable, check with your peers. 9 - Vehicle Collision - unavailable, check with your peers. 10 - Curling Sabotage - unavailable, check with your peers. 11 - Midge V =3.57 m/s [N] 0.060(30)2 60(3) 0.060V Ball 60 Dirton 12 - Sabrina 0.060(30)+ 60(3) = 0.060V'Sair + 60V Diran & 2 2 2 V'Dillon = 3.05 m's [W] but not 3.00 m/s [W] 13- Chuck Vene =-20/3 or 6.6 m/'s [reverse] and Veight =+40/3 or 13.3 m/s [forward] 14 -Mr. Weatherbee 100(3.41000)+0.001(-3410) = 100(3.40659)+0.001vswer & 100(3.41000)3 0.001(-3410) 100(3.406597 0.001 Vsumnfly = Mach 9 [West] ? =1 106 J 15 - Pop Tate & Ethel VPop& Ethel = 1.49 m/s [N 63.4" E] 16 - Coach Clayton and Mr. Lodge VCoach = 0.886 m/s [N 86.3" W] 17- X-ray Pxray + PH = PH ht + myVH = myVH VH = 66.6 m/'s 18 - Nancy, Cheryl and Maria V Pop& Ethel = 0.90 c [Rew 60" Dwn] F = m a plane & v - v. = 2 a d plane 19 - 10455(100)+10'(5) = (107 +10455)v' v' =5.099 22 m/'s [Fwd] -/ mg = m a plane plane = 524.6 m V - V, = at plane & dhoat 2 plane same as boat & Lbout = plane - boat plane = 9.98325 s dboat = 50.4 m hoat = 474.2 m 20 - F35 - unavailable, check with your