A pendulum of a mass mp = 3.60 kg hanging at the bottom end of a...
A pendulum of a mass mp = 3.60 kg hanging at the bottom end of a massless rod of length ℓ = 0.60 m has a frictionless pivot at its top end. As shown in the above figure, a bullet of mass mb = 0.50 kg, moving with a horizontal velocity vb, impacts the pendulum and becomes embedded. The pendulum then swings to rest at its topmost position converting all of its kinetic energy into potential energy. (a) Use the change in gravitational potential energy to calculate the kinetic energy of the pendulum + embedded mass immediately after the collision. (b) Determine the velocity of the pendulum with the embedded mass immediately after the collision. (c) Use conservation of momentum to determine the velocity vb of the bullet immediately before the collision.
Homework Answers
A bullet of mass 8 g is fired into a 1.2 kg ballistic pendulum (a block...
A bullet of mass 8 g is fired into a 1.2 kg ballistic pendulum (a block of wood acting as the pendulum bob of a thin metal arm attached to a low friction pivot point) that is initially at rest. The bullet exits the block of wood with a speed of 180 m/s and the wooden block swings from its lowest point to a maximum height of 9.2 cm above that location. Determine the velocity of the bullet before it...
1) A ballistic pendulum consists of a 3.60 kg wooden block on the end of a...
1) A ballistic pendulum consists of a 3.60 kg wooden block on the end of a long string. From the pivot point to the center‐of‐mass of the block is a distance of 2.80 m. With the pendulum hanging straight down, a rifle bullet of 28.0 g mass moving with a speed of 210 m/s embeds itself into the wood. To what maximum angle does the pendulum (with embedded bullet) swing upward? 2) The thorium‐228 nucleus decays by emitting an alpha...
A 25. As shown in figure 9, a ball of mass M is hanging from a...
A 25. As shown in figure 9, a ball of mass M is hanging from a rope to make a pendulum. A 10 g bullet strikes the ball with a speed v = 308 m/s. The center of mass of the ball + bullet rises a vertical distance of h = 12 cm. Assuming that the bullet remains embedded, calculate the mass M of the ball. (Ans: 2.0 kg) A27. Block A (mass = 2.0 kg, velocity = 50 m/s)...
5.00 (0.00500 kg) bullised into 1.00 kw wooden pendulum it. After the collision, the pendulum and...
5.00 (0.00500 kg) bullised into 1.00 kw wooden pendulum it. After the collision, the pendulum and bullet swing upwan cm 120 m). Determine the initial of the baby doing the follows fed into a 1.00 ke wed b and becomes embedded um and bullet swing upward and reach a maximum height of 12.0 While the pendulum bob and bullet are swinging up the system. net are swinging upwards by 12 cm. mechanical energy is conserved in A. What is the...
Q1. A bullet (1 g) is shot into a pendulum mass while it is hanging straight...
Q1. A bullet (1 g) is shot into a pendulum mass while it is hanging straight down (0.8kg). Just before impact with the pendulum, the bullet has speed 600m/s. The bullet-pendulum combination then swings together in a circular arc to a maximum angle of 0.2 rad. Find the speed of the bullet-pendulum combination right after the bullet becomes embedded (you can assume that this happens quickly enough that the combination has not yet had a chance to rise). What...
2. (25 pts.) A simple pendulum of length L = 1.0 m, with a mass mp...
2. (25 pts.) A simple pendulum of length L = 1.0 m, with a mass mp = 5.0 kg at the end, is held at a 90° angle and released from rest. There are also two blocks, A and B with masses ma = 10 kg and mb = 15 kg, at rest on a horizon- tal, frictionless surface. After the release, the pendulum collides elastically with block A, which in turn collides completely/perfectly inelastically with block B. a. Immediately...
A physical pendulum consists of a vertical board of mass 5.37 kg, length 171 cm, and...
A physical pendulum consists of a vertical board of mass 5.37 kg, length 171 cm, and width 12 cm hanging from a horizontal, frictionless axle. A bullet of mass 149 g and a purely horizontal speed v impacts the pendulum at the bottom edge of the board. The board then makes a complete circle. (a) If the bullet passed through the board, reducing its speed by a factor of 1/2, what is the minimum speed of the bullet? (b) If...
A physical pendulum consists of a vertical board of of mass 5.46 kg, length 176 cm,...
A physical pendulum consists of a vertical board of of mass 5.46 kg, length 176 cm, and width 12 cm hanging from a horizontal, frictionless axle. A bullet of mass 145 g and a purely horizontal speed v impacts the pendulum at the bottom edge of the board. The board then makes a complete circle. (a) If the bullet passed through the board, reducing its speed by a factor of 1/3, what is the minimum speed of the bullet? (b)...
A physical pendulum consists of a vertical board of of mass 5.46 kg, length 176 cm,...
A physical pendulum consists of a vertical board of of mass 5.46 kg, length 176 cm, and width 12 cm hanging from a horizontal, frictionless axle. A bullet of mass 145 g and a purely horizontal speed v impacts the pendulum at the bottom edge of the board. The board then makes a complete circle. (a) If the bullet passed through the board, reducing its speed by a factor of 1/3, what is the minimum speed of the bullet? (b)...
2:41 session.masteringphysics.com AA Problem 7.42 MasteringPhysics 9 of 9 Constants A pendulum consists of a mass...
2:41 session.masteringphysics.com AA Problem 7.42 MasteringPhysics 9 of 9 Constants A pendulum consists of a mass M hanging at the bottom end of a massless rod of length L, which has a frictionless pivot at its top end. A mass m, moving as shown in L M QTap image to zoom with velocity v, impacts M and becomes embedded. Part A What is the smallest value of v sufficient to cause the pendulum (with embedded mass m) to swing clear...
A bullet of mass 8 g is fired into a 1.2 kg ballistic pendulum (a block of wood acting as the pendulum bob of a thin metal arm attached to a low friction pivot point) that is initially at rest. The bullet exits the block of wood with a speed of 180 m/s and the wooden block swings from its lowest point to a maximum height of 9.2 cm above that location. Determine the velocity of the bullet before it...
A 25. As shown in figure 9, a ball of mass M is hanging from a rope to make a pendulum. A 10 g bullet strikes the ball with a speed v = 308 m/s. The center of mass of the ball + bullet rises a vertical distance of h = 12 cm. Assuming that the bullet remains embedded, calculate the mass M of the ball. (Ans: 2.0 kg) A27. Block A (mass = 2.0 kg, velocity = 50 m/s)...
5.00 (0.00500 kg) bullised into 1.00 kw wooden pendulum it. After the collision, the pendulum and bullet swing upwan cm 120 m). Determine the initial of the baby doing the follows fed into a 1.00 ke wed b and becomes embedded um and bullet swing upward and reach a maximum height of 12.0 While the pendulum bob and bullet are swinging up the system. net are swinging upwards by 12 cm. mechanical energy is conserved in A. What is the...
2. (25 pts.) A simple pendulum of length L = 1.0 m, with a mass mp = 5.0 kg at the end, is held at a 90° angle and released from rest. There are also two blocks, A and B with masses ma = 10 kg and mb = 15 kg, at rest on a horizon- tal, frictionless surface. After the release, the pendulum collides elastically with block A, which in turn collides completely/perfectly inelastically with block B. a. Immediately...
2:41 session.masteringphysics.com AA Problem 7.42 MasteringPhysics 9 of 9 Constants A pendulum consists of a mass M hanging at the bottom end of a massless rod of length L, which has a frictionless pivot at its top end. A mass m, moving as shown in L M QTap image to zoom with velocity v, impacts M and becomes embedded. Part A What is the smallest value of v sufficient to cause the pendulum (with embedded mass m) to swing clear...
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