In a ballistic pendulum, an object of mass m is fired with an initial speed vi at the bob of a pendulum. The bob has amass M, and is suspended by a rod of negligible mass. After the collision, the object and the bob stick together and swingthrough an arc, eventually gaining a height h. Find the height h in terms of m, M, vi, and g

Two objects are traveling on ice that we consider frictionless, when they collide. Both have initial speeds of 13.2 m/s. The first object mass m1=74.4kg and is traveling in x-direction. The second object has mass m2 = 55.7kg and is traveling at an angle of A = 18.9 degrees relative to x-direction. The two ogjects stick together after their collision. What will be the x-component of the combined objects velocity right after the collision?         v1 m1 ------->                                    ↖m2, angle =18.9                                       v2

An astronaut comes loose while outside the spacecraft and finds himself floating away from the spacecraft with only a big bag of tools. In desperation, the astronaut throws his bag of tools in the direction of his motion (away from the space station). The astronaut has a mass of 102 kg and the bag of tools has a mass of 10.0 kg. If the astronaut is moving away from the space station at 1.80 m/s initially, what is the minimum final speed of the bag of tools (with respect to the space station) that will keep the astronaut from drifting away forever? minimum final speed: m/s

Two masses undergo a front-to-back colli- sion. The masses are mi m, with initial velocity 2v0, and m₂ = 4m, with initial ve- locity vo. Due to the collision, they stick together, forming a compound system. 20 Vo G m₁ If m= 2.2 kg and vo= 3.9 m/s, find the magnitude of the loss in kinetic energy after the collision. Answer in units of J. m₂ 1. 33.6238 2. 19.6117 3. 4.95122 4. 24.3911 5. 6.78724 6. 35.8937 7. 12.0236 8. 13.3848 9. 36.49 10. 3.26001

A 1.90 g bullet, traveling at a speed of 423 m/s, strikes the wooden block of a ballistic pendulum. The block has a mass of 228 g.   (a) Find the speed of the bullet/block combination immediately after the collision.m/s(b) How high does the combination rise above its initial position?m

A bullet of mass 27.0 grams is shot horizontally into a long rod with a wooden block of mass 2.00 kg on the end. The block is initially at rest. The bullet has an original velocity of 250 m/s. After the bullet fully embeds into the block, the block and the bullet swing upward. The wooden rod is 1.40 meters long To what maximum angle, theta, does the pendulum swing after the collision? O 69 degrees O 41 degrees O 53 degrees O 23 degrees

A 25.0 g bullet traveling horizontally at 500 m/s strikes a 0.750 kg block of wood that is balanced on the edge of a table 0.800 m above the floor. If the bullet embeds itself into the block, then (a) how fast is the bullet and block combination moving immediately after the collision and (b) how far horizontally from the edge of the table will the bullet and block combination hit the floor? Include a diagram of the situation as needed.

A steel ball of mass 0.610 kg is fastened to a cord that is 35.0 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 2.60 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) Number -1.623 100 Unit Unit m/s m/s

This amazing summer adventure is finally winding down with some pool. Unfortunately, this pool table is wonky and some of the balls are larger than the others! Anthony hits the cue ball (mass = 0.15 kg) and it moves at 5 m/s when it strikes head on into the number 3 ball (mass = 0.30 kg). After this inelastic collision, the cue ball moves off at 60 degrees relative to the +x axis and the number 3 ball moves off at -30 degrees relative to the +axis as shown. What were the speeds of the two balls after the collision?

A steel ball of mass 0.5 kg is fastened to a cord that is 70.0 cm long and fixed at the far end. The ball is then 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 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.