Which of the following is the mathematical representation of law of conservation of total linear momentum? a) dP/dt = 0 b) dF/dt = 0 c) dP/dt = Finternal d) dF/dt = P
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Which of the following is the mathematical representation of law of conservation of total linear momentum?
a) dP/dt = 0
b) dF/dt = 0
c) dP/dt = Finternal
d) dF/dt = P
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- Based on the principle conservation of linear momentum, which statement is true ? (Ma and Mp are masses of two objects a and b. Vaj and Vb; are the initial velocities of Mą and Mp respectively before collision. Vaf and Vbf are the final velocities of Ma and Mp respectively after collision.) MaVbit MoVai =MaVbpt MoVas None of the options available MVai + MBVbi = MVaf + MpVbf MaVai+MpVbf=MaVaf+ MbVbi MaVai+ MaVas=MBVbi+ MbVbfWhen there is motion is both directions, state which direction is positive at the START of the problem. For the impulse-momentum and the conservation of momentum problems: Plug your GIVEN VALUES into the equation FIRST then do the algebra. Use the following equations: F t = m vf -m vi m1 vi1 + m2 vi2 = m1 vf1 + m2 vf2 m1 vi1 + m2 vi2 = (m1 + m2) vf (m1 + m2) Vi = m1 vf1 + m2 vf2 3.) A 0.196 N bullet strikes a 10.00 kg block of wood, which is initally at rest. The bullet becomes lodged in the block of wood and afterwards both are traveling at 1.25 m/s. a. ) what was the velocity of the bullet before striking the block of wood?3) A 1000 kg car is traveling due east with a speed of 10 m/s. A 1500 kg truck is traveling due north at a speed of 15 m/s. These cars undergo a purely inelastic collision. a) Is the linear momentum of the system conserved in this collision? What does this tell you about the net external force on this system? Explain your answer(s). b) Find the speed and direction of the masses just after collision. c) Is the kinetic energy of the system conserved? Verify your answer by calculating the initial and final kinetic energies. d) If the cars slide to a stop in 25 meters after they collide, how much work was done by friction? What was the average force of friction needed to bring the cars to rest? e) What impulse was delivered to the cars by the road? How long (in time) did it take for the cars to come to rest?
- . A condition of the law of conservation of momentum is that no external forces are at play. Look at each of the following situations and determine if the law applies or does not apply. Law does apply. Law does not apply. ______ A bullet strikes a wooden block causing the block to accelerate from rest. ______ Two cars collide on a dirt road where the force of friction is high. ______ A coin sliding on a table experiences a frictional force. ______ Two kinetic carts collide on a frictionless surface.Calculate the magnitude of the linear momentum for the following cases. -27 kg, moving with a speed of 4.70 x 10° m/s 6. (a) a proton with mass 1.67 x 10 kg - m/s (b) a 18.0-g bullet moving with a speed of 310 m/s kg - m/s (c) a 72.0-kg sprinter running with a speed of 10.5 m/s s/w - 6y (d) the Earth (mass = 5.98 × 10-4 kg) moving with an orbital speed equal to 2.98 x 10 m/s. kg - m/s Need Help? Read ItAn archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.00 m/s on a smooth, slippery surface. The 22.5-g arrow is shot with a speed of 36.5 m/s and passes through the target, which is stopped by the impact. What is the speed of the arrow after passing through the target? m/s
- An atomic nucleus suddenly bursts apart (fissions) into two pieces. Piece A, of mass m 4, travels off to the left with speed v4. Piece B, of mass mB, travels off to the right with speed v B.The law of conservation of momentum is applicable to systems made up of objects described by which of the following? A All the above choices are valid. B interacting through friction C macroscopic D microscopicIf an object has zero momentum, does it have zero kinetic energy? A. yes B. no C. cannot tell from the information given
- When there is motion is both directions, state which direction is positive at the START of the problem. For the impulse-momentum and the conservation of momentum problems: Plug your GIVEN VALUES into the equation FIRST then do the algebra. Use the following equations: F t = m vf -m vi m1 vi1 + m2 vi2 = m1 vf1 + m2 vf2 m1 vi1 + m2 vi2 = (m1 + m2) vf (m1 + m2) Vi = m1 vf1 + m2 vf2 6.) Ball 1 : m1 = 8 slugs and vi1 = 3 ft/s to the RIGHT Ball 2: m2 = 4 slugs and vi2 = 0 Ball 3: m3 = 6 slugs and vi3 = 0 picture the three balls all siting on a flat surface with some space between them. AFTER ball 1 strikes ball 2, ball 1 is traveling at 1.5 ft/s to the LEFT AFTER ball 2 strikes ball 3, ball 2 is traveling at 3 ft/s to the LEFT a,) What is the direction (left or right) and final velocity of ball 3? Vf3 =? Show all unit conversions step by step, if any.When there is motion is both directions, state which direction is positive at the START of the problem. For the impulse-momentum and the conservation of momentum problems: Plug your GIVEN VALUES into the equation FIRST then do the algebra. Use the following equations: F t = m vf -m vi m1 vi1 + m2 vi2 = m1 vf1 + m2 vf2 m1 vi1 + m2 vi2 = (m1 + m2) vf (m1 + m2) Vi = m1 vf1 + m2 vf2 2. ) The baseball is traveling at 90 mph to the left towards the batter. The batter strikes the 0.05 slug baseball with a force of 50.00 lbs. The bat is in contact with the softball for 0.25 seconds. Assume that the baseball is traveling directly in the opposite direction after being hit with the bat. a. what is the velocity of the baseball after being hit by the batter? show all unit conversions-if any, step by step.A Z Olaf is standing on a sheet of ice that covers the football stadium parking lot in Buffalo, New York; there is negligible friction between his feet and the ice. A friend throws Olaf a ball of mass 0.400 kg that is traveling horizontally at 10.8 m/s. Olaf's mass is 69.7 kg.( Figure 1) 2 masteringphysics.com/mycitemView?assignment ProblemID=189028758&offset=next W S Figure X command A # 3 20 E D C $ B 4 888 R F I % 5 of V 254 FD T G 6 B Part A 20 If Olaf catches the ball, with what speed ty do Olaf and the ball move afterward? Express your answer numerically in meters per second. View Available Hint(s) Y ▾ Part B H U= 0.167 Submit X Incorrect; Try Again; 5 attempts remaining ty = Submit Provide Feedback MacBook Air 195] ΑΣΦΑ & 7 If the ball hits Olaf and bounces off his chest horizontally at 7.00 m/s in the opposite direction, what is his speed vy after the collision? Express your answer numerically in meters per second. ▸ View Available Hint(s) N IVE] ΑΣΦ Previous Answers F7 U * 8…