1. The ballistic pendulum is a simple device to measure projectile velocity v by observing the maximum angle 9 to which the box of sand with embedded projectile swings. Calculate the angle 8 if the 60 g. projectile is fired horizontally in to the suspended 20 kg box of sand with a velocity of 600 m/s. Also, calculate the percent energy lost during impact. Answer: (a) 0 = 20.7° (b) energy lost during impact = 99.8%
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This is the velocity of system at bottom.
Let the height gained by system be ℎ.
Hence,
M+mgh=1/2M+mv2 ..........(how you get this equaltion)
l=2m (why is l is 2 m not h which is height)
h=l*2*cos degree ( where this equaltion from)
- 4. A 2.0 kg block hangs from the end of a 1.5 kg, 1.0-m long rod, together forming a pendulum that swings from a frictionless pivot at the top end of the rod. A 10 g bullet is fired horizontally into the block where it sticks, causing the pendulum to swing out to a 30° angle. What was the speed of the bullet? (5 marks) m,-0.010 kg d=1.0 m m=1.5 kg mg2.0 kg Ves=0 m/s1. A bullet of mass m, = 0.0500 kg is fired into a block of wood of mass m₂ = 0.850 kg. This block of wood is hanging from light wires. The bullet embeds in the block and the bullet and block combined swing up to a height of h=0.350 m. What was the speed of the bullet (vu) right before it hit the block of wood (ignore friction)? a. 4.64 x 10³ m/s b. 2.62 m/s c. 44.5 m/s d. 47.1 m/s e. 123 m/s2. A marksman holds a rifle of mass m = 3.00 kg loosely, so it can recoil freely. He fires a bullet of mass m = 5.00 g horizontally with a velocity relative to the ground of v=+ 300 m/s. What is the recoil velocity of the rifle? (Young and Freedman, 2012) BONUS: What is the total kinetic energy of the rifle and bullet after it was fired? Before Rifle + bullet After =? Vax=300 m/s m₂ = 3.00 kg mas 5.00g Image source: H. Young and R. Freedman. (2012). University Physics with Modern Physics, 13th Ed. Pearson Education, Inc. San Francisco, CA. -X
- 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?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 190-g projectile is fired with a velocity of +730 m/s at a 2.3-kg wooden block that rests on a frictionless table. The velocity of the block, immediately after the projectile passes through it, is +20 m/s. Find the velocity with which the projectile exits from the block. m/s What percentage of the original kinetic energy of the projectile is lost in the collision? %
- 4. An object, initially travelling at 45 m/s [N], explodes into three pieces. Afterward, the first piece has a mass of 6kg, and travels at 68 m/s [N25E]. The second piece has a mass of 2.5kg, and obtains a new velocity of 26 m/s [N75W]. a) If the third piece has a mass of 4kg, determine its vector velocity after the explosion. b) Determine the change in energy.. What is the initial kinetic energy in joules of the bullet in problem 1? What is the final kinetic energy of the combined bullet/pendulum?I. A lump of clay (m = 3.00 kg) is thrown towards a wall at speed v = 3.00 m/s. The lump sticks to the wall. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. II. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 3.00 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. III. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 2.00 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during…
- 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 = 0.1 (kg) 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. L %3D M) m h How far does m travel horizontally (before it hits the ground)? |How long does it take from the time M is released from rest to the time it strikes m? [Hint: think pendulum]1. A lump of clay (m = 3.00 kg) is thrown towards a wall at speed v = 3.00 m/s. The lump sticks to the wall. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wallI. (c) Calculate percent of initial kinetic energy lost during this collision. II. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 3.00 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. III. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 2.00 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost…