A 40.0 m/s 30.0° 45.0° B
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A: mass of railroad car = m1= m = 3.4 x 104 kg mass of two coupled car = m2= 2m = 6.8 x 104 kg
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Two asteroids of equal mass in the asteroid
belt between Mars and Jupiter collide with a glancing blow. Asteroid
A, which was initially traveling at 40.0 m/s, is deflected 30.0° from its
original direction, while asteroid B, which was initially at rest, travels at
45.0° to the original direction of A (Fig. ). (a) Find the speed of
each asteroid after the collision. (b) What fraction of the original kinetic
energy of asteroid A dissipates during this collision?
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- In the figure, block 1 of mass m₁ slides from rest along a frictionless ramp from height h= 2 m and then collides with stationary block 2, which has mass m2- 2m₁. After the collision, block 2 slides into a region where the coefficient of kinetic friction is 0.3 and comes to a stop in distance d within that region. What is the value of distance d if the collision is (a) elastic and (b) completely inelastic? (a) Number i 4.2 (b) Number i 2.1 Unit Unit Frictionless m/s m/s V VA railroad car of mass 2.5 x 104 kg is moving at a speed of 4.00 m/s. It collides and couples with three other coupled railroad cars, each with the same mass as the single car, moving in the opposite direction at 2.00 m/s. (a) What is the speed of the four coupled cars after the collision? (b) How much energy is lost in the collision?Two particles with masses 2m and 8m are moving toward each other along the x axis with the same initial speeds vi. Particle 2m is traveling to the left, while particle 8m is traveling to the right. They undergo an elastic, glancing collision such that particle 2m is moving in the negative y direction after the collision at a right angle from its initial direction. (a) Find the final speeds of the two particles in terms of vi.
- Marble A was released at a certain height of the ramp and hit Marble B on the horizontal end of the ramp. Both Marbles A and B weighs 5 grams. The horizontal distances covered by marbles A and B after the collision are 5 cm and 35 cm, respectively. The elevation from the edge of the ramp to the ground is 15cm. Assuming that energy and momentum are conserved, what is initial potential energy (in erg; erg = dyne.cm) of Marble A? Use g=980cm/s2. Round off your answer to two decimal places.A steel ball of mass 0.850 kg is fastened to a cord that is 65.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal, as shown in the figure. At the bottom of its path, the ball strikes a 3.30 kg steel block initially at rest on a frictionless surface. The collision is elastic. Find (a) the speed of the ball and (b) the speed of the block, both just after the collision. (a) Number (b) Numbe i i Unit UnitA railroad car of mass M moving at a speed v_1 collides and couples with two coupled railroad cars, each of the same mass M and moving in the same direction at a speed v_2. (a) What is the speed v_f of the three coupled cars after the collision in terms of v_1 and v_2? (b) How much kinetic energy is lost in the collision? Answer in terms of M, v_1, andv_2 .
- The carbon isotope 14C is used for carbon dating of archaeological artefacts. 14C decays to 14N by a process known as beta decay, in which the nucleus emits an electron (also known as a beta particle) and a subatomic particle called a neutrino. In one such decay, the electron and the neutrino are emitted in opposite directions to each other. The electron has a speed of 5 x 10 m/s and the neutrino has a momentum of 5 x 1024 kg m/s. n as What is the recoil speed of the resulting 14N nucleus? (Take the mass of the carbon-14 and nitrogen-14 nuclei to be 2.34 x 10 26 kg and the mass of the electron to be 9.11 x 1031 kg. If you were aware of such things and concerned, please ignore relativistic effects.)The carbon isotope 14C is used for carbon dating of archaeological artefacts. 14C decays to 14N by a process known as beta decay, in which the nucleus emits an electron (also known as a beta particle) and a subatomic particle called a neutrino. In one such decay, the electron and the neutrino are emitted in opposite directions to each other. The electron has a speed of 4 x 107 m/s and the neutrino has a momentum of 8 × 10-24 kg m/s. What is the recoil speed (in m/s) of the resulting 14N nucleus? (Take the mass of the carbon-14 and nitrogen-14 nuclei to be 2.34 x 10-26 kg and the mass of the electron to be 9.11 x 1031 kg. If you were aware of such things and concerned, please ignore relativistic effects.)Beatrice stands at rest on her skateboard. The mass of Beatrice and the skateboard together is 75 kg. Isaac Newton throws a 3.0 kg ball horizontally to the right at 4.0 m/s to Beatrice, who catches it. (a) What is the final speed of Beatrice and the skateboard? (b) How much mechanical energy was lost in the process?
- Marble A was released at a certain height of the ramp and hit Marble B on the horizontal end of the ramp. Both Marbles A and B weighs 5 grams. The horizontal distances covered by marbles A and B after the collision are 5 cm and 35 cm, respectively. The elevation from the edge of the ramp to the ground is 15cm. Assuming that energy and momentum are conserved, what is initial potential energy (in erg; erg = dyne.cm) of Marble A? Use g=980cm/s2. Round off your answer to two decimal places. Answer correctly, thank you.A bullet weighing 6.00 g is fired horizontally at a speed of 458 m/s into a wooden block weighing 1.00 kg. (Note: The block is resting on a frictionless horizontal surface). Find how fast the block will be moving if the bullet becomes embedded in the block and find out how much thermal energy was generated during the collision.A railroad car of mass 3.3 x 104 kg moving at 5.00 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 1.20 m/s. (a) What is the speed of the three coupled cars after the collision? m/s (b) How much kinetic energy is lost in the collision? Need Help? Read It