8. A bullet having a mass of 0.05 kg moving with a velocity of 400 m/s penetrates a distance of 0.1 m into a wooden block firmly attached to the earth. Assume the accelerating force constant. Compute: a. The acceleration of the bullet b. The accelerating force. c. The time of acceleration d. The impulse of the collision
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- 1. Particle 1, of mass m, moving with velocity , makes a head-on collision with particle 2, of mass m/2, which is initially moving with velocity -20. (a) If the particles make a completely inelastic collision (sticking together), calculate the kinetic energy that is lost in the collision and the ratio of the final kinetic energy of the system to the initial kinetic energy of the system. (b) If the particles make an elastic collision, calculate the ratio of the kinetic energy of particle 1 to the kinetic energy of particle 2, before and after the collision.1.A cue ball (mass = 0.165 kg) is at rest on a frictionless pool table. The ball is hit dead center by a pool stick, which applies an impulse of + 1.50 N's to the ball. The ball then slides along the table and makes an elastic head-on collision with a second ball of equal mass that is initially at rest. Find the velocity of the second ball just after it is struck.In a softball game, a 0.2 kg ball crosses the plate at 10 m/s at an angle of 45° on its way down. The batter hits the ball toward center field, giving it a velocity of 45 m/s at 30° above the horizontal. a. Determine the impulse given to the ball. b. If the force on the ball increases linearly for 4 ms, holds constant for 20 ms, and then decreases to zero linearly in another 4 ms. i) What is the average force on the ball? ii) What is the peak force on the ball? 4
- 1. A 2 kg gun fires a 0.001 kg bullet at 400 m/s. What is the recoil speed of the gun? Before After2. An bullet of mass m = 6.40g is fired into a block of mass M = 235g that is initially at rest at the edge of a chair of height h = 0.197 m. The bullet remains in the block, and after the impact the block lands d: 0.170m from the bottom of the chair. Determine the initial velocity of %3D %3D the bullet. m 1.1. A steel ball of mass 0.5 kg is fastened to a cord 70 cm long and fixed at the far end, is released when the cord is horizontal. At the bottom of its path, the ball strikes a 2.5 kg steel block initially at rest on a horizontal surface. The collision is elastic. Find a) the speed of the ball and the speed of the block, just after the collision. b) If the block has a coefficient of kinetic friction with the horizontal surface of 0.30, how far does the block slide before coming to rest? Ignore the effect of the frictional force for the duration of the collision. [-2.49 m/s, 1.27 m/s; 0.27 m]
- 5. A block of mass m = 3.0 kg is launched by a spring with force constant of k-350 N/m. If the spring is initially compressed by 50-cm, and the block starts from rest, determine b. the velocity of the block the instant when it leaves the spring. the maximum height attained by the block. the impulse received to the block by the spring 50-cm m www6. Two smooth disks A and B (masses 0.8 and 0.6 kg, respectively) move with velocities as pictured and collide in such a way that the coefficient of restitution is 0.75. Determine the velocities of each disk just after the collision. B (VB)1 = 4 m/s (VA)1 = 6 m/s A -X4. A 2.0 kg block hangs from the end of a 1.5 kg, 1.0-m long rod, together forming a pendulum that swings from a frictionless pivot at the top end of the rod. A 10 g bullet is fired horizontally into the block where it sticks, causing the pendulum to swing out to a 30° angle. What was the speed of the bullet? (5 marks) m,-0.010 kg d=1.0 m m=1.5 kg mg2.0 kg Ves=0 m/s
- A knife thrower throws a knife toward a 300 g target that is sliding in her direction at a speed of 2.30 m/s on a horizontal frictionless surface. She throws a 22.5 g knife at the target with a speed of 38.0 m/s. The target is stopped by the impact and the knife passes through the target. Determine the speed of the knife (in m/s) after passing through the target.8. An alien egg (6.0 kg) is sitting out in space with nothing else nearby. Suddenly (over 0.2 s) the egg breaks into two pieces and flies apart. One piece is 1.5 kg and flies off toward the left at 3.0 m/s. The other piece flies off at 9.0 m/s to the right. A baby alien is now in the spot where the egg was. Solve everything symbolically until asked to solve numerically a. Symbolically, what is the mass of the piece of egg going to the right? b. Numerically, what is the mass of the piece of egg going to the right? c. Symbolically, what is the mass of the baby alien? d. Numerically, what is the mass of the baby alien?15. A 10000Kg car is moving toward north at a speed of 3m/s at noon. One hour later, the car is moving toward east at 4m/s. The change in momentum of the car during that onehour period is (a) 10000Kgm/s, toward east. (b) 50000Kgm/s, toward 37 degrees north of east. (c) 50000Kgm/s, toward 53 degrees north of east. (d) 50000Kgm/s, toward 37 degrees south of east. (e) 50000Kgm/s, toward 53 degrees south of east.