A 25-g rifle bullet traveling 240 m/sm/s embeds itself in a 3.4-kg pendulum hanging on a 2.7-m-long string, which makes the pendulum swing upward in an arc. - Determine the vertical component of the pendulum's maximum displacement.

question 12

1. An inventor patents a "golf machine". It consists of a "golf club" which is really a pendulum of length L = 2 (m), with a massles string and a mass M = 30 (kg) on the end. By pulling back on the pendulum until the string makes an angle 0= 10° from the vertical, and then releasing it from rest, the golf club strikes the "golf ball" exactly horizontally. The golf ball is a mass m = that rests on a platform which is h = 20 (cm) above the horizontal ground. Assume that all collisions are elastic and all masses are point masses. Finally you should ignore air resistance but gravity acts down as usual. M) 0.1 (kg) h А. What is the speed of M just before it strikes m? | After m is struck by M, how long is m in the air before it hits the В. ground?

Q1) A spring with a constant of k=100 N/m is attached to the back of a block with a mass of 2 kg traveling at a speed of 3 m/s on a frictionless horizontal plane. Another block with a mass of 1 kg comes with a speed of 6 m/s and collides with the spring. a) be at that instant? (notice that at the instant of maximum compression,the velocities of the blocks will be equal for a short instant) What will the maximum compression of the spring be and what will the velocities of the blocks What will the velocities of the blocks be after they are separated? 6 m/s 3 m/s

2: A 0.02-kg bullet is fired horizontally into a 8.98-kg wooden block initially at rest on a horizontal surface. The wooden block is connected by a massless spring with spring constant 100N/m. After impact, the block slides 10.0cm before coming to rest. If the coefficient of kinetic friction between block and surface is 0.20, what was the speed of the bullet immediately before impact? M www

joule In the figure, if h=7cm and the mass of the ball is 40g Then the translational kinetic energy of the ball at point b =.. ramp Prejecetile Table Top Path Select one: а. 10mJ b. 28mJ с. 5mJ d. 40MJ е. 20mJ Plumb Line

öslg äbäi What is the the transfer function of the first-order system which has the impulse response curve ?as in the following figure Impulse Response 1.8 1.6 1.4 1.2 System: sys Time (seconds): 0.333 Amplitude: 0.737 1 0.8 Slop 0.6 0.4 0.2 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1.8 Time (seconds) 1/(s+3) O 2/(s+3) 6/(s+3) No one of the answers in a, b, and c Amplitude

6) A massless spring, with force constant k=191N/m, connects a wall and a block of wood. The system is initially at rest with the spring neither stretched nor compressed. The block has mass M=54.2g and is free to move without friction on a table. A gun is positioned to fire a bullet of mass m=6.86g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d=0.857m. b) What is the speed, in meters per second, of the bullet before it enters the block?  c) What is the frequency, in hertz, of the resulting periodic motion of the block/bullet and spring system?

A 33.7-g rifle bullet traveling 205. m/s buries itself in a 2.97-kg pendulum hanging on a 2.67-m-long string, which makes the pendulum swing upward in an arc. Determine how high (in m) the pendulum swings above its original position.

A 1.5-kg block is attached to the end of a 1.9-m string to form a pendulum. The pendulum is released from rest when the string is horizontal. At the lowest point of its swing when it is moving horizontally, the block is hit by a 0.02-kg bullet moving horizontally in the opposite direction. The bullet remains in the block and causes the block to come to rest at the low point of its swing. What was the magnitude of the bullet's velocity just before hitting the block?