Question

A small bullet of mass m=0.27g and speed v=13m/s embeds in a block of mass M=0.98kg...

A small bullet of mass m=0.27g and speed v=13m/s embeds in a block of mass M=0.98kg suspended by a massless string of length L, after a collision as shown in the figure. If the bullet will appear on the other side of the block M with a speed v'=3.6m/s, instead of being embedded in it, find the maximum height the block M can reach. (Take g=9.81 m/s2). Express your answer using two decimal places.

Homework Answers

Answer #1

The momentum will be conserved in this collision

m -> Mass of bullet ; v -> Initial velocity of bullet ; v' -> Final velocity of bullet

M -> Mass of block    ; V -> Final velocity of block

Final velocity of the block :

This Kinetic energy due to this changes to potential energy :

Maximum Height :

Substituting :

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 small bullet of mass m=0.73g and speed v=13.5m/s embeds in a block of mass M=0.69kg...
A small bullet of mass m=0.73g and speed v=13.5m/s embeds in a block of mass M=0.69kg suspended by a massless string of length L, after a collision as shown in the figure. If the bullet will appear on the other side of the block M with a speed v'=5.6m/s, instead of being embedded in it, find the maximum height the block Mcan reach. (Take g=9.81 m/s2). Express your answer using two decimal places.
A bullet of mass ma= 0.01 kg moving with an initial speed of va= 200 m/s...
A bullet of mass ma= 0.01 kg moving with an initial speed of va= 200 m/s embeds itself in a wooden block with mass mb= 0.99 kg moving in the same direction with an initial speed vb= 2.6 m/s. What is the speed of the bullet-embedded block after the collision? What is the total kinetic energy of the bullet and block system before and after the collision?
(1 point) A 15 g bullet strikes and embeds in a 2.2 kg block suspended at...
(1 point) A 15 g bullet strikes and embeds in a 2.2 kg block suspended at the end of a 1 m string. After the collision the string rises to a maximum angle of 26 degrees to the vertical. Find: a) the speed of the bullet: m/s b) the percentage loss in kinetic energy due to the collision: %
A bullet of mass 4.00 g travelling at 250 m/s embeds into a wooden block of...
A bullet of mass 4.00 g travelling at 250 m/s embeds into a wooden block of mass 2.32 kg resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.220. The bullet remains embedded in the block slides along the surface before stopping. What distance does the block slide before coming to rest?
A bullet with speed 511 m/s and mass m = 5.00 g is shot into a...
A bullet with speed 511 m/s and mass m = 5.00 g is shot into a stationary block of wood hanging a distance h1 = 1.00 m above the ground, as shown in Figure 1. The block is hanging by a string of length r = 0.30 m. The bullet is lodged in the block, and the block-bullet system swings so that the string makes an angle of θ = 60.0° when the string breaks, as shown in Figure 2....
As shown in the figure below, a bullet is fired at and passes through a piece...
As shown in the figure below, a bullet is fired at and passes through a piece of target paper suspended by a massless string. The bullet has a mass m, a speed v before the collision with the target, and a speed (0.486)v after passing through the target. The collision is inelastic and during the collision, the amount of energy lost is equal to a fraction [(0.273)KEb BC] of the kinetic energy of the bullet before the collision. Determine the...
A 0.0200 kg bullet moving horizontally at 400 m/s embeds itself into an initially stationary 0.500...
A 0.0200 kg bullet moving horizontally at 400 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 0.0220 kg bullet moving horizontally at 400 m/s embeds itself into an initially stationary 0.500...
A 0.0220 kg bullet moving horizontally at 400 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 4 g moving with an initial speed 400 m/s is fired into...
A bullet of mass 4 g moving with an initial speed 400 m/s is fired into and passes through a block of mass 5 kg, as shown in the figure. The block, initially at rest on a frictionless, horizontal surface, is connected to a spring of force constant 538 N/m. If the block moves a distance 1.3 cm to the right after the bullet passed through it, find the speed v at which the bullet emerges from the block and...
a small bullet of mass m= 6 g staright up collides which a massive block of...
a small bullet of mass m= 6 g staright up collides which a massive block of wood. At the time of impact of the speed of the bullet is V_i = 8 m/s. The block has a mass m= 5 kg and is initially vest on the table as shown in the picture. In the collision the bullet gets embeded in the block. After the collision the block and bullet system rises up to a maximum height H. The collision...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT