Question

In the figure, a bullet with mass m1 moving directly upward with speed v1i strikes and...

In the figure, a bullet with mass m1 moving directly upward with speed v1i strikes and passes through the center of mass of a block with mass m2 which is initially at rest. The bullet emerges from the block moving directly upward and has slowed to a speed v1f. To what maximum height does the block then rise above its initial position? State your answer in terms of the given variables (use g where applicable)

Homework Answers

Answer #1

Solution:

According to the conservation of momentum.
(m1)(v1i) = (m1)(v1f) + (m2)(v2)
v2 = (m1)(v1i - v1f) / (m2)

Now : to find how high the block can go with initial velocity v2:
Using equation : v² - (v2)² = 2ay

Since, initial velocity of the block is Zero.

So : (v2)² = 2gy
y = (v2)2 / (2g)

Putting values of v2 from above equations, we get :
y = (m1)2(v1i - v1f)2 / [(2g)(m2)2]

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
In the figure here, a 11.5 g bullet moving directly upward at 1210 m/s strikes and...
In the figure here, a 11.5 g bullet moving directly upward at 1210 m/s strikes and passes through the center of mass of a 7.5 kg block initially at rest. The bullet emerges from the block moving directly upward at 720 m/s. To what maximum height does the block then rise above its initial position?
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...
An 0.025 kg bullet traveling at 700 m/s strikes and passes through the center of mass...
An 0.025 kg bullet traveling at 700 m/s strikes and passes through the center of mass of a 0.50 kg block of wood that is initially at rest on a smooth flat surface. The bullet passes through the block and emerges from the other side traveling at 300 m/s? How fast will the block be sliding just after the bullet emerges, and how much energy (in Joules) will be converted to heat? (Neglect the effect of sliding friction during the...
A block of mass m1 is traveling to the right with a velocity of v1i. A...
A block of mass m1 is traveling to the right with a velocity of v1i. A block of mass m2 is traveling to the left at v2i. Both are on a frictionless, flat surface. Let the speed v2i = (1/2)v1i and m2 = 3m1. The two blocks collide elastically. (1) What is the final velocity of block m1 (in terms of v1,i)? (2) What is the final velocity of block m2 (in terms of v1,i)? (3) What is the change...
A 10g bullet moving at 1000m / s hits and passes through a 2.0kg block initially...
A 10g bullet moving at 1000m / s hits and passes through a 2.0kg block initially at rest, as shown. The bullet leaves the block with a speed of 400 m / s. At what maximum height will the block rise above its starting position?
10. A bullet of mass M1= 0.4 Kg moving with initial velocity V1i= 800 m/s gets...
10. A bullet of mass M1= 0.4 Kg moving with initial velocity V1i= 800 m/s gets embedded into a block of wood of mass M2= 3.6 Kg that was initially at rest (V2i=0). The block is attached to a spring having spring constant K=400 N/m. After making the inelastic collision, the bullet-block combination slides on a horizontal frictioless surface and compresses the spring. Part A The amount of compression distance  delta X by which the spring gets compressed by the bullet-block...
A 5.00-g bullet moving with an initial speed of v0 = 410 m/s is fired into...
A 5.00-g bullet moving with an initial speed of v0 = 410 m/s is fired into and passes through a 1.00-kg block, as in the figure below. The block, initially at rest on a frictionless horizontal surface, is connected to a spring with a spring constant of 940 N/m. (a) If the block moves 5.00 cm to the right after impact, find the speed at which the bullet emerges from the block. (b) If the block moves 5.00 cm to...
A bullet with mass m1 is fired horizontally at a velocity v1 If the bullet strikes...
A bullet with mass m1 is fired horizontally at a velocity v1 If the bullet strikes a block of mass m2 at horizontal distance s1, (a) how far h has it dropped? Assuming the bullet’s horizontal speed remains constant, (b) what will be its resultant speed vR as it hits the block? (c) At what angle Θ below the horizontal does it strike the block? The bullet remains in the block, which slides down a long ramp, which sits at...
A block of mass m1 = 1.2 kg initially moving to the right with a speed...
A block of mass m1 = 1.2 kg initially moving to the right with a speed of 4.2 m/s on a frictionless, horizontal track collides with a spring attached to a second block of mass m2 = 2.8 kg initially moving to the left with a speed of 1.0 m/s as shown in figure (a). The spring constant is 535N/m. What if m1 is initially moving at 2.6 m/s while m2 is initially at rest?(a) Find the maximum spring compression...
A 2.50 g bullet, traveling at a speed of 460 m/s, strikes the wooden block of...
A 2.50 g bullet, traveling at a speed of 460 m/s, strikes the wooden block of a ballistic pendulum, such as that in the figure below. The block has a mass of 270 g. (a) Find the speed of the bullet/block combination immediately after the collision. (b) How high does the combination rise above its initial position?