A ballistic pendulum is a simple, but practical, device that can be used to measure the speed of a bullet. The pendulum consists of a block of wood with mass 4.30 kg, at the end of a thin wire so that the center of the block is 85.6 cm below the top of the wire. With the block at rest and the wire vertical, a bullet of mass 29.0 grams is fired at the block. It embeds in the block and causes the block to swing so that it momentarily comes to rest when the wire makes an angle of 35.80 with the vertical. Find the initial speed, in m/s, of the bullet.
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- In walking the body goes through both a breaking impulse and a propulsion impulse. The breaking phase lasts .3 seconds and the propulsion phase lasts .33 seconds. The body goes through a decrease of the vertical velocity of .1 m/s as they come into the ground during the breaking impulse and an increase in the vertical velocity of .4 m/s during the propulsion. The individual has a weight of 700 newtons. What is the acceleration horizontally for both the breaking impulse and the propulsive impulse if the coefficient of friction is .32?Two hockey players race for the puck in the middle of the rink. Player 1 has a mass of 69 kg and a velocity of 5.6 m/s at an angle of 32° with the rink board. Player 2 has a mass of 78 kg and a velocity of 7.1 m/s at an angle of 16° with the same board. The players become locked together in a completely inelastic collision. Find the energy in Joules lost in the collision.One billiard ball (mass 118 grams) is moving due east at 5.0 m/s. A tennis ball (mass 321 grams) is moving due west at 4.0 m/s. The two balls have a glancing blow, which means they do not bounce along the same line as their original motion, but rather, deflect at an angle to their original paths. You measure the billard ball's motion as it moves 26.0° north of east, and you measure that the tennis ball is travelling 19.0° south of west. What is the speed of the billiard ball after the collision? Your Answer: Answer
- 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.A large block of mass 3.80 kg slides on a frictionless table and collides head-on with a small block of mass 2.50 kg. After the collision both blocks move in the same direction as the original motion of the large block, and fall off the edge of the table. The small block hits the floor at a point 2.18 meters horizontally from the edge of the table, while the large block hits the floor at a point 1.38 meters horizontally from the edge of the table. The top of the table is 1.10 m above the floor. Find the speed, in m/s, of the large block before 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 0.0235 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 5.65 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
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