Question

A pellet gun fires into a stationary block of wood that is attached to a spring...

A pellet gun fires into a stationary block of wood that is attached to a spring on a frictionless surface. When the bullet enters the wood, it remains inside, and the bullet and the block enter into simple harmonic motion with amplitude = 11.0 cm. The bullet (m = 5 grams) was initially traveling at 650 m/s before hitting the block of wood (m = 2.5 kg).

a) What is the spring constant of the spring?

b) What is the total energy of the system after the collision?

c) What is the maximum acceleration of the bullet/block system once it begins its oscillation?

d) Where will the bullet and block reach 0 velocity?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 5 kg block of wood connected to a horizontal spring (constant 130 N/m) is at...
A 5 kg block of wood connected to a horizontal spring (constant 130 N/m) is at rest on a frictionless plane. Bullet (50 mg) is fired at block and horizontal velocity is 25 m/s and bullet is stuck in it. The block goes through simple harmonic oscillation. What is the amplitude of resulting oscillation? What is the total mechanical energy of the block with the bullet inside? What is the magnitude of velocity of the block with the bullet when...
A 8.00 g bullet traveling at 515 m/s embeds itself in a 1.57 kg wooden block...
A 8.00 g bullet traveling at 515 m/s embeds itself in a 1.57 kg wooden block at rest on a frictionless surface. The block is attached to a spring with k = 82.0 N/m. Part A) Find the period. Part B) Find the amplitude of the subsequent simple harmonic motion. Part C) Find the total energy of the bullet + block + spring system before the bullet enters the block. Part D) Find the total energy of the bullet +...
13. A 10.0-g bullet is fired into a stationary block of wood (m = 5.00 kg)...
13. A 10.0-g bullet is fired into a stationary block of wood (m = 5.00 kg) at the speed of 300 m/s, the relative motion of the bullet stops inside the block. Determine the speed of the bullet-plus-wood combination immediately after the collision.
A 1 kg block of wood is attached to a spring, of force constant 200 N/m,...
A 1 kg block of wood is attached to a spring, of force constant 200 N/m, which is attached to an immovable support. The block rests on a frictional surface with a coefficient of kinetic friction of 0.2. A 20 g bullet is fired into the block horizontally compressing the spring a maximum distance of 15 cm. Find the original velocity of the bullet before the collision.
Darth Maul fires a 20.0 g bullet into a 0.600 kg block that is attached to...
Darth Maul fires a 20.0 g bullet into a 0.600 kg block that is attached to a fixed horizontal spring. The spring constant for the spring is 8.10 103 N/m. The block starts oscillating back and forth with vibrations that have an amplitude of 21.5 cm. (That is, the farthest away from equilibrium the block gets is this distance). What was the speed of the bullet before impact if the bullet and block move together after impact? Your answer is...
A block with mass 2 kg is attached to an ideal massless spring and undergoes simple...
A block with mass 2 kg is attached to an ideal massless spring and undergoes simple harmonic oscillations with a period of 0.50 s. The surface is frictionless. The amplitude of the oscillation is 0.1 m. (a) What is the spring constant of the spring? (b) What is the total mechanical energy of the system (the spring and block system)? (c) What is the maximum speed of the block? (d) What is the speed of the block when the displacement...
A block with mass 2 kg is attached to an ideal massless spring and undergoes simple...
A block with mass 2 kg is attached to an ideal massless spring and undergoes simple harmonic oscillations with a period of 0.50 s. The surface is frictionless. The amplitude of the oscillation is 0.1 m. (a) What is the spring constant of the spring? (b) What is the total mechanical energy of the system (the spring and block system)? (c) What is the maximum speed of the block? (d) What is the speed of the block when the displacement...
A simple harmonic oscillator consists of a 675-g block attached to a lightweight spring. The total...
A simple harmonic oscillator consists of a 675-g block attached to a lightweight spring. The total energy of the system is 9.40 J, and its period of oscillation is 0.340 s. (a) What is the maximum speed of the block? Did you accidentally divide or take the inverse in your calculation? m/s (b) What is the force constant of the spring? N/m (c) What is the amplitude of the motion of the block? m
1. A block weighs 15 N and is suspended from a spring that is attached to...
1. A block weighs 15 N and is suspended from a spring that is attached to the ceiling. The spring stretches by 0.075 m from its unstrained length. By how much does the spring stretch when a 29-N block is suspended from it? x =Number ____ Units ____ mrad/sNradrad/s^2m/sNo unitss 2. An object in simple harmonic motion has an amplitude of 0.216 m and an oscillation period of 0.620 s. Determine the maximum speed of the motion. vmax = ____...
A block of mass M = 5.80 kg, at rest on a horizontal frictionless table, is...
A block of mass M = 5.80 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 6250 N/m. A bullet of mass m = 8.30 g and velocity of magnitude 570 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible until the bullet is embedded, determine (a) the speed of the block immediately after the collision and (b) the...