A 8.5 kg block is suspended from a spring with k = 537 N/m. A 52...
A 8.5 kg block is suspended from a spring with k = 537 N/m. A 52 g bullet is fired into the block from directly below with a speed of 290 m/s and becomes embedded in the block. (a) Find the amplitude of the resulting simple harmonic motion. (b) What percentage of the original kinetic energy of the bullet is transferred to mechanical energy of the harmonic oscillator?
Homework Answers
Item 1 1 of 4 A block of wood connected to a horizontal spring is at...
Item 1 1 of 4 A block of wood connected to a horizontal spring is at rest on a frictionless floor. The mass of the block is 5kg and the spring constant is 125 N/m. A bullet of mass 50g is fired at the block with horizontal velocity of 25 m/s. The bullet gets embedded in the block after hitting it. The block (with the bullet embedded in it) undergoes simple harmonic oscillation as a result of this collision Part...
A spring with spring constant k is suspended from the ceiling. A block of mass M...
A spring with spring constant k is suspended from the ceiling. A block of mass M hangs from the spring. A bullet of mass m is fired vertically upward into the bottom of the block, get embedded in it, and the spring's maximum compression d is measured. The block and bullet system then oscillates. Find an expression for the bullet's speed vB in terms of m, M, k and d. Find the frequency ? of the oscillation. Find the...
1) A 12.3 kg particle is undergoing simple harmonic motion with an amplitude of 1.86 mm....
1) A 12.3 kg particle is undergoing simple harmonic motion with an amplitude of 1.86 mm. The maximum acceleration experienced by the particle is 7.93 km/s2. (a) Find the period of the motion. (b) What is the maximum speed of the particle? (c) Calculate the total mechanical energy of this simple harmonic oscillator. 2) The orbit of the Moon around the Earth as projected along a diameter can be viewed as simple harmonic motion. Calculate the effective force constant k...
A block of mass M = 5.60 kg, at rest on a horizontal frictionless table, is...
A block of mass M = 5.60 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 6390 N/m. A bullet of mass m = 8.20 g and velocity of magnitude 710 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...
A 0.2 kg object is suspended from a spring with a spring constant of k=10 n/m....
A 0.2 kg object is suspended from a spring with a spring constant of k=10 n/m. The object moves with simple harmonic motion and has an amplitude of 0.08 m . What is the potential energy of the system when the object displacement is 0.08 m ?
A block of mass M = 1.94 kg, at rest on a horizontal frictionless table, is...
A block of mass M = 1.94 kg, at rest on a horizontal
frictionless table, is attached to a rigid support by a spring of
constant k = 110 N/m. A bullet of mass m = 4.7 g and velocity of
magnitude 810 m/s strikes and is embedded in the block (Fig. See
below). 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)...
A block of mass M = 6.20 kg, at rest on a horizontal frictionless table, is...
A block of mass M = 6.20 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 6410 N/m. A bullet of mass m = 9.30 g and velocity v→ of magnitude 600 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)...
A block of mass M = 5.60 kg, at rest on a horizontal frictionless table, is...
A block of mass M = 5.60 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 5890 N/m. A bullet of mass m = 9.30 g and velocity v of magnitude 650 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible is embedded, determine (a) the speed of the block immediately after the collision and (b) the amplitude of...
A 0.940 kg block is attached to a horizontal spring with spring constant 1600 N/m ....
A 0.940 kg block is attached to a horizontal spring with spring constant 1600 N/m . The block is at rest on a frictionless surface. A 8.00 g bullet is fired into the block, in the face opposite the spring, and sticks. The subsequent oscillations have an amplitude of 13.0 cm . A) Find the total energy of the oscillator. B) Find the speed of the bullet and block immediately after the collision. C) Find the speed of the bullet...
A small wooden block with mass 0.775 kg is suspended from the lower end of a...
A small wooden block with mass 0.775 kg is suspended from the lower end of a light cord that is 1.52 m long. The block is initially at rest. A bullet with mass 0.0136 kg is fired at the block with a horizontal velocity of 375 m/s . The bullet strikes the block and becomes embedded in it. After the collision the combined object swings on the end of the cord. The block and bullet rise so that the cord...
Item 1 1 of 4 A block of wood connected to a horizontal spring is at rest on a frictionless floor. The mass of the block is 5kg and the spring constant is 125 N/m. A bullet of mass 50g is fired at the block with horizontal velocity of 25 m/s. The bullet gets embedded in the block after hitting it. The block (with the bullet embedded in it) undergoes simple harmonic oscillation as a result of this collision Part...
A block of mass M = 1.94 kg, at rest on a horizontal
frictionless table, is attached to a rigid support by a spring of
constant k = 110 N/m. A bullet of mass m = 4.7 g and velocity of
magnitude 810 m/s strikes and is embedded in the block (Fig. See
below). 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)...
A block of mass M = 5.60 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 5890 N/m. A bullet of mass m = 9.30 g and velocity v of magnitude 650 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible is embedded, determine (a) the speed of the block immediately after the collision and (b) the amplitude of...
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