6.00 g is fired with an initial velocity of 600 m/s into a block of mass M = 300 =1.00 m. The bullet remains in the block, and 3.A bullet of mass m = that is initially at rest at the edge of a table of height h after the impact the block lands a horizontal distance d from the bottom of the table. Determine the time of flight t and the horizontal distance d.
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- please answer all 1. A block of mass 1.71 kg is placed on a frictionless floor and initially pushed northward, whereupon it begins sliding with a constant speed of 3.50 m/s. It eventually collides with a second, stationary block, of mass 4.04 kg, head-on, and rebounds back to the south. The collision is 100% elastic. What will be the speeds of the 1.71-kg and 4.04-kg blocks, respectively, after this collision? 2. Same situation as before. This time it s a block of mass 1.07 kg sliding with a constant velocity of 3.51 m/s to the north, which collides 100% elastically with a second, stationary block, of mass 4.28 kg, head-on, and rebounds back to the south, eventually colliding 100% elastically with a wall and rebounding northward. It then overtakes the second block, which is still moving north as a result of the first collision. What will be the speeds of the 1.07-kg and 4.28-kg blocks, respectively, after their SECOND collision with one another? 3. Consider a non-rotating space station…Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was traveling at speed v at an angle ϕ south of east (as indicated in the figure). After the collision, the two-car system travels at speed vfinal at an angle θ east of north. (Figure 1) What is the angle θ with respect to north made by the velocity vector of the two cars after the collision? Express your answer in terms of ϕ.5. A 5 kg gun fires a bullet of 15 grams at a velocity of 1000 m/sec to the right. What is the velocity of recoil of the gun?
- A bullet having a mass of 0.05 kg, moving with a velocity of 400 m/s penetrates a distance o 0.1 m into a wooden block firmly attached to the earth. Assume the accelerating force constant, Compute.a) The acceleration of the bulletb) The accelerating forcec) The time of accelerationd) The impulse of the collision. Compare the answer to part (d) with initial momentum of the bullet100 kg of mass is travelling with a uniform velocity of 5 m/s along a line collides with a stationary mass m_{2} of 1000 kg. After the collision, both the masses travel together with the same velocity. What is the coefficient of restitution.?Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was travelling at speed v at an angle theta south of east (as indicated in the figure). After the collision, the two car system travels at a speed vfinal at an angle phi east of north. Express your answers in terms of known quantities. Find the magnitude of the speed vfinal in terms of v and theta.
- Assume that the origin goes through the A particle. The three masses are connected by massless, rigid rods of 30 cm length (center-to-center). If the mass of A is 450 g, the mass of B is 200 g and the mass of C is 150 g, what is the x-coordinate (in cm) of the center of mass? What is the y-coordinate (in cm) of the center of mass?7. A billiard ball is shot east at 2.30 m/s. A second, identical billiard ball is shot west at 1.80 m/s. The balls has a glancing collision, not a head-on-collision, deflecting the second ball by 90° and sending it north at 1.50 m/s. What is the angle that the velocity of the first ball makes after the collision, with respect to the east direction?Solve using in lb*ft/s. 2100kg truck traveling north at 41km/h turns east and accelerates to 51km/h. What are the magnitude and direction of the change in its momentum?
- Suppose a fireworks shell explodes, breaking into three large pieces for which air resistance is negligible. How does the explosion affect the motion of the center of mass? How would it be affected if the pieces experienced significantly more air resistance than the intact shell?A 91.0 kg ice hockey player hits a 0.150 kg puck, giving the puck a velocity of 38.0 m/s. If both are initially at rest and if the ice is frictionless, how far (in m) does the player recoil in the time it takes the puck to reach the goal 21.0 m away? (Enter the magnitude.)You’re playing pool and you line up a shot on the 3 ball. You want the 3 ball to be deflected by an angle of theta 3 = 25 degrees at a velocity v3 = 1.3 m/s so that it will make it into a side pocket. What initial velocity must you give the cue ball in order to make this shot and what will be the velocity and angle of the cue ball following the collision? Recall that the mass of a cue ball is 0.17 kg, while the mass of a 3 ball is 0.16 kg. Hint: it might be useful to express the mass of the 3 ball as a fraction of the mass of the cue ball.