Question

In: Physics

A bullet of mass 2.0×10−3 kg embeds itself in a wooden block with mass 0.986 kg...

A bullet of mass 2.0×10−3 kg embeds itself in a wooden block with mass 0.986 kg , which then compresses a spring (k= 110 N/m ) by a distance 4.0×10−2 mm before coming to rest. The coefficient of kinetic friction between the block and table is 0.41.

1) What is the initial speed of the bullet?

2) What fraction of the bullet's initial kinetic energy is dissipated (in damage to the wooden block, rising temperature, etc.) in the collision between the bullet and the block?

Solutions

Expert Solution

In the question the compression distance is given in (mm) which has to be in (m) for proper practical condition and calculations.


Related Solutions

A bullet of mass 2.0×10−3 kgkg embeds itself in a wooden block with mass 0.981 kgkg...
A bullet of mass 2.0×10−3 kgkg embeds itself in a wooden block with mass 0.981 kgkg , which then compresses a spring (kkk = 130 N/mN/m ) by a distance 5.5×10−2 mm before coming to rest. The coefficient of kinetic friction between the block and table is 0.60. a. What is the initial speed of the bullet? b. What fraction of the bullet's initial kinetic energy is dissipated (in damage to the wooden block, rising temperature, etc.) in the collision...
A bullet of mass 1.7×10−3 kg embeds itself in a wooden block with mass 0.980 kg...
A bullet of mass 1.7×10−3 kg embeds itself in a wooden block with mass 0.980 kg , which then compresses a spring (k = 160 N/m ) by a distance 6.0×10−2 m before coming to rest. The coefficient of kinetic friction between the block and table is 0.53. What is the initial speed of the bullet?
A 3.45-g bullet embeds itself in a 1.37-kg block, which is attached to a spring of...
A 3.45-g bullet embeds itself in a 1.37-kg block, which is attached to a spring of force constant 785 N/m. If the maximum compression of the spring is 5.48 cm, find the initial speed of the bullet in m/s. Find the time for the bullet-block system to come to rest in seconds.
A 0.0147-kg bullet is fired straight up at a falling wooden block that has a mass...
A 0.0147-kg bullet is fired straight up at a falling wooden block that has a mass of 2.94 kg. The bullet has a speed of 760 m/s when it strikes the block. The block originally was dropped from rest from the top of a building and had been falling for a time t when the collision with the bullet occurs. As a result of the collision, the block (with the bullet in it) reverses direction, rises, and comes to a...
A 0.00618-kg bullet is fired straight up at a falling wooden block that has a mass...
A 0.00618-kg bullet is fired straight up at a falling wooden block that has a mass of 1.52 kg. The bullet has a speed of 616 m/s when it strikes the block. The block originally was dropped from rest from the top of a building and had been falling for a time t when the collision with the bullet occurs. As a result of the collision, the block (with the bullet in it) reverses direction, rises, and comes to a...
A 0.004 kg bullet is fired into a 0.200 kg wooden block at rest on a...
A 0.004 kg bullet is fired into a 0.200 kg wooden block at rest on a horizontal surface. After impact, the embedded bullet block slides 8.00 m before coming to rest. If the coefficient of friction is 0.400, what is the speed of the bullet before impact? a) 96 m /s b) 112 m/s c) 286 m/s d) 404 m/s e) 812 m/s
A bullet of mass m = 29 g is fired into a wooden block of mass...
A bullet of mass m = 29 g is fired into a wooden block of mass M = 4.9 kg as shown in the figure below. The block is attached to a string of length 1.5 m. The bullet is embedded in the block, causing the block to then swing as shown in the figure. If the block reaches a maximum height of h = 0.27 m, what was the initial speed of the bullet?
A 0.0210 kg bullet moving horizontally at 500 m/s embeds itself into an initially stationary 0.500...
A 0.0210 kg bullet moving horizontally at 500 m/s embeds itself into an initially stationary 0.500 kg block. (a) What is their velocity just after the collision? _____ m/s (b) The bullet-embedded block slides 8.0 m on a horizontal surface with a 0.30 kinetic coefficient of friction. Now what is its velocity? _____ m/s (c) The bullet-embedded block now strikes and sticks to a stationary 2.00 kg block. How far does this combination travel before stopping? ____ m
A bullet of mass m1 is fired horizontally into a wooden block of mass m2 resting...
A bullet of mass m1 is fired horizontally into a wooden block of mass m2 resting on a horizontal surface. The coefficient of kinetic friction between block and surface is μk. The bullet remains embedded in the block, which is observed to slide a distance s along the surface before stopping. What was the initial speed of the bullet? Take the free-fall acceleration to be g.
A bullet of mass 5.00 g is fired horizontally into a wooden block of mass 1.16...
A bullet of mass 5.00 g is fired horizontally into a wooden block of mass 1.16 kg resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.240. The bullet remains embedded in the block, which is observed to slide a distance 0.200 m along the surface before stopping. Part A What was the initial speed of the bullet?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT