FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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- One object (m1 = 0.200 kg) is moving to the right with a speed of 2.00 m/s when it is struck from behind by another object (m2 = 0.300 kg) that is moving to the right at 6.00 m/s. If friction is negligible and the collision between these objects is elastic, find the final velocity of each.arrow_forwardSven hits a baseball (m = 0.15 kg). He applies an average force of 50.0 N. The ball had an initial velocity of 35.0 m/s to the right and a final velocity of 40.0 m/s to the left as viewed by a fan in the stands. a. What is the impulse delivered by Svens bat to the baseball? b. How long is his bat in contact with the ball?arrow_forwardProblems 44 and 45 are paired. C A model rocket is shot straight up. As it reaches the highest point in its trajectory, it explodes in midair into three pieces with velocities indicated by the arrows in Figure P10.44, as viewed from directly above the explosion. Rank the mass of each piece in order from smallest to largest and justify your answer. FIGURE P10.44 Problems 44 and 45.arrow_forward
- From what might be a possible scene in the comic book The X-Men, the Juggernaut (mJ) is charging into Colossus (mC) and the two collide. The initial speed of the Juggernaut is vJi and the initial speed of Colossus is vCi. After the collision, the final speed of the Juggernaut is vJf and the final speed of Colossus is vCf as they each bounce off of the other, heading in opposite directions. a. What is the impulse experienced by the Juggernaut? b. What is the impulse experienced by Colossus? c. In your own words, explain how these impulses must compare with each other and how they are related to the average force each superhero experiences during the collision.arrow_forwardA girl of mass mg is standing on a plank of mass mp. Both are originally at rest on a frozen lake that constitutes a frictionless, flat surface. The girl begins to walk along the plank at a constant velocity vgp to the right relative to the plank. (The subscript gp denotes the girl relative to plank.) (a) What is the velocity vpi of the plank relative to the surface of the ice? (b) What is the girls velocity vgi relative to the ice surface?arrow_forwardThe space shuttle uses its thrusters with an exhaust velocity of 4440 m/s. The shuttle is initially at rest in space and accelerates to a final speed of 1.00 km/s. a. What percentage of the initial mass of the shuttle (including the full fuel tank) must be ejected to reach that speed? b. If the mass of the shuttle and fuel is initially 1.85 106 kg, how much fuel is expelled?arrow_forward
- A proton with an initial speed of 2.00 108 m/s in the x direction collides elastically with another proton initially at rest. The first protons velocity after the collision is 1.64 108 m/s at an angle of 35.0 with the horizontal. What is the velocity of the second proton after the collision?arrow_forwardA model rocket engine has an average thrust of 5.26 N. It has an initial mass of 25.5 g, which includes fuel mass of 12.7 g. The duration of its burn is 1.90 s. (a) What is the average exhaust speed of the engine? (b) This engine is placed in a rocket body of mass 53.5 g. What is the final velocity of the rocket if it were to be fired from rest in outer space by an astronaut on a spacewalk? Assume the fuel burns at a constant rate.arrow_forwardA mother pushes her son in a stroller at a constant speed of 1.52 m/s. The boy tosses a 56.7-g tennis ball straight up at 1.75 m/s and catches it. The boys father sits on a bench and watches. a. According to the mother, what are the balls initial and final momenta? b. According to the father, what are the balls initial and final momenta? c. According to the mother, is the balls momentum ever zero? If so, when? If not, why not? d. According to the father, is the balls momentum ever zero? If so, when? If not, why not?arrow_forward
- N A bomb explodes into three pieces A, B, and C of equal mass. Piece A flies with a speed of 40.0 m/s, and piece B with a speed of 30.0 m/s at an angle of 90° relative to the direction of A as shown in Figure P11.57. Determine the speed of piece C and the direction of its velocity relative to the direction of piece A.arrow_forwardA model rocket is shot straight up and explodes at the top of its trajectory into three pieces as viewed from above and shown in Figure P10.44. The masses of the three pieces are mA = 100.0 g, mB = 20.0 g, and mC = 30.0 g. Immediately after the explosion, piece A is traveling at 1.50 m/s, and piece B is traveling at 7.00 m/s in a direction 30 below the negative x axis as shown. What is the velocity of piece C? FIGURE P10.44 Problems 44 and 45. 45. We can use the conservation of momentum (Eq. 10.9). The total initial momentum is zero, so the sum of all the final momenta should be zero. mAvAf+mBvBf+mCvCf=0 This velocities for A and B can be expressed as vectors. vAf=1.50jm/svBf=(7.00im/s)cos30(7.00jm/s)sin30=(6.06i3.50j)m/s We can now solve the momentum equation. (100.0g)(1.50jm/s)+(20.0g)(6.06i3.50j)m/s+(30.0g)vCf=0vCf=(4.04i2.67j)m/s The velocity of piece C is down and to the right as expected.arrow_forwardA Show that the total momentum of a system of particles equals the momentum of the center of mass: ptot=j=1npj=pCM(10.8)arrow_forward
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