The pendulum apparatus in the video has a total mass of 578 grams. The pendulum rod has a small mass of 20 grams so you can treat all the mass of the pendulum as if it were hanging at the end which is called the “bob”. The mass of the rod should be taken into account in determining the center of mass of the apparatus which is 71.3 cm (not the length of the pendulum). A marble which hass a mass of 10 g is fired at the pendulum bob which has clay on it which allows the marble to stick to it. Derive a formula for measuring the velocity of the marble (vm) as a function of the mass of the marble mm, the mass of the marble/bob mmb and the velocity of the marble and bob vmb using the conservation of momentum

The pendulum apparatus in the video has a total mass of 578 grams. The pendulum rod has a small mass of 20 grams so you can treat all the mass of the pendulum as if it were hanging at the end which is called the “bob”. The mass of the rod should be taken into account in determining the center of mass of the apparatus which is 71.3 cm (not the length of the pendulum). A marble which hass a mass of 10 g is fired at the pendulum bob which has clay on it which allows the marble to stick to it. Derive a formula for measuring the velocity of the marble (vm) as a function of the mass of the marble mm, the mass of the marble/bob mmb and the velocity of the marble and bob vmb using the conservation of momentum

Similar questions

In a ballistic pendulum experiment, a small marble is fired into a cup attached to the end of a pendulum. If the mass of the marble is 0.0265 kg and the mass of the pendulum is 0.250 kg, how high h will the pendulum swing if the marble has an initial speed of 5.35 m/s? Assume that the mass of the pendulum is concentrated at its end so that linear momentum is conserved during this collision. h = m
A 40 kg ball moving to the right at 5.0m/s collides head-on with the stationary 2.0 kg ball. If the collision is elastic, determine the direction and speed of each ball after the collision.
2 balls collide head-on in an elastic collision. One ball has a mass of 4.0 kg and an initial velocity of 6.5 m/s. The second ball has a mass of 2.0 kg and its initial velocity is unknown. AFTER the collision the heavier ball has a velocity of 2.5 m/s. What is the velocity of the lighter ball before and after the collision?
How to solve?
A 0.8 kg block is moving horizontally to the right with a speed of 6 m/s when it strikes a vertical wall. After the collision, the block is moving to the left with a speed of 2 m/s. What is the magnitude of the impulse on the block
A 2.0 kg cart moves forward at 5.0 m/s, when it is struck from behind by a 0.50 kg cart moving at 15 m/s. If all motion is linear, and the collision is cushioned by a perfectly elastic bumper, what is the velocity of both carts after the collision?
A metallic bar of length 60 cm has linear density (mass per length) given by 2=0.15+6x 23 - where x is the distance from one end, measured in meters, and is in grams/meter. Which expression gives the correct result for the center of mass of the bar from x = 0 end?
A 0.800 kg ornament is hanging by a 1.50 m wire when the ornament is suddenly hit by a 0.200 kg missile traveling horizontally at 12.0 m/s. The missile embeds itself in the ornament during the collision. What is the tension in the wire immediately after the collision?
An 4.5 kg bowling ball rolls with a velocity of 3.4 m/s and strikes a stationary 5.0 kg bowling ball. The first ball stops after the collision. How fast does the second bowling ball roll away after the collision?
In a ballistic pendulum experiment, a small marble is fired into a cup attached to the end of a pendulum. If the mass of the marble is 0.0255 kg and the mass of the pendulum is 0.250 kg, how high h will the pendulum swing if the marble has an initial speed of 5.85 m/s? Assume that the mass of the pendulum is concentrated at its end so that linear momentum is conserved during this collision. h = * TOOLS x10
The mass of a regulation tennis ball is 57.0 g (although it can vary slightly), and tests have shown that the ball is in contact with the tennis racket for 30 ms. (This number can also vary, depending on the racket and swing.) We assume a 59.0 g ball and a 26.0 ms contact time in this problem. In the 2011 Davis Cup competition, Ivo Karlovic made one of the fastest recorded serves in history, which was clocked at 156 mi//h (70 m/s). Part A: What impulse did Karlovic exert on the tennis ball in his record serve? Take the +x direction to be along the final direction of motion of the ball. Part B: What average force did Karlovic exert on the tennis ball in his record serve? Part C: If his opponent returned this serve with a speed of 55.0 m/s, what impulse did his opponent exert on the ball, assuming purely horizontal motion? Take the +x direction to be in the direction the ball is traveling before it is hit by the opponent. Part D: If his opponent returned this serve with a speed of 55.0…
A cart of mass 0.3kg traveling at 3m/s on a horizontal frictionless track collides with a cart of mass 0.45kg traveling at 2.5m/s towards it. The carts stick together after the collision. What is the final velocity of the carts