Question

A bomb at rest explodes into three fragments. Two of these fragments with mass m1 =...

A bomb at rest explodes into three fragments. Two of these fragments with mass m1 = 2 kg, and m2 = 1 kg respectively, travel in left direction; the other fragment with mass m3 = 3 kg travels in opposite direction. If the velocities of fragments 1 and 2 are v1 = 5 m/s and v2 = 2 m/s respectively, find the velocity of fragment 3.

Homework Answers

Answer #1

According to conservation of linear momentum,

The momentum of an isolated system remains constant. Momentum is said to be conserved over time; that is, momentum is neither created nor destroyed, only transformed from one form to another.

Momentum before explosion = Momentum after collision

Let M be the total mass of bomb and u initial velocity.

According to sign convention,velocity towards right is taken positive and towards left, negative

Initially at rest, implies

Velocity of fragment 3 is 4 m/s towards right

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 bomb initally at rest explodes into two fragments. A 2.3 kg fragment moves...
A 5 kg bomb initally at rest explodes into two fragments. A 2.3 kg fragment moves at 315 m/s. What was the total kinetic energy of the bomb? Report as kilo-joules (kJ).
A bomb explodes into 3 pieces. First piece m1=1kg, moves at v1=2m/s at 30 degree to...
A bomb explodes into 3 pieces. First piece m1=1kg, moves at v1=2m/s at 30 degree to the horizontal m2=2kg moves at v2=1.5m/s to the right and m3=3kg moves at v3=4m/s at 45 degree below the horizontal. What was the bomb's initial velocity(magnitude and direction)?
An object with total mass mtotal = 16.4 kg is sitting at rest when it explodes...
An object with total mass mtotal = 16.4 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.7 kg moves up and to the left at an angle of θ1 = 18° above the –x axis with a speed of v1 = 26 m/s. A second piece with mass m2 = 5.2 kg moves down and to the right an angle of θ2 = 23° to the right of the -y axis...
A bomb at rest, with mass m, explodes into three unequal pieces. 1/3 of the mass...
A bomb at rest, with mass m, explodes into three unequal pieces. 1/3 of the mass moves north with a speed of 48.0 m/s. ½ the mass moves 58° west of north with a speed of 27.0 m/s. Find the speed and direction of the last piece.
A gadget of mass 14.61 kg floats in space without motion. Because of some internal malfunction,...
A gadget of mass 14.61 kg floats in space without motion. Because of some internal malfunction, the gadget violently breaks up into 3 fragments flying away from each other. The first fragment has mass m1 = 5.38 kg and speed v1 = 6.47 m/s while the second fragment has mass m2 = 3.92 kg and speed v2 = 7.73 m/s. The angle between the velocity vectors ⃗v1 and ⃗v2 is θ12 = 43◦. What is the speed v3 of the...
A 4-kg projectile travels with a horizontal velocity of 600 m/s before it explodes and breaks...
A 4-kg projectile travels with a horizontal velocity of 600 m/s before it explodes and breaks into two fragments A and B of mass 1.5 kg and 2.5 kg, respectively. If the fragments travel along the parabolic trajectories shown, determine the magnitude of velocity of each fragment just after the explosion and the horizontal distance where segment B strikes the ground at D.
A block of mass m1 = 2.6 kg initially moving to the right with a speed...
A block of mass m1 = 2.6 kg initially moving to the right with a speed of 4.5 m/s on a frictionless, horizontal track collides with a spring attached to a second block of mass m2 = 5.6 kg initially moving to the left with a speed of 2.9m/s. The spring constant is 504N/m. Now, What if m1 is initially moving at 3.4 m/s while m2 is initially at rest? (a) Find the maximum spring compression in this case. x...
a 3.0 kg object at rest explodes into 3 distinct fragments each moving in different directions....
a 3.0 kg object at rest explodes into 3 distinct fragments each moving in different directions. The first is 0.50kg and flies west at 2.8m/s, the second is 1.3 kg moving south at 1.5m/s. What is the mass, speed, and direction of the third fragment? How much kinetic energy was released in this explosion?
A block of mass m1 = 1.20 kg moving at v1 = 1.20 m/s undergoes a...
A block of mass m1 = 1.20 kg moving at v1 = 1.20 m/s undergoes a completely inelastic collision with a stationary block of mass m2 = 0.500 kg . The blocks then move, stuck together, at speed v2. After a short time, the two-block system collides inelastically with a third block, of mass m3 = 2.60 kg , which is initially at rest. The three blocks then move, stuck together, with speed v3. Assume that the blocks slide without...
A block of mass m1 = 1.90 kg initially moving to the right with a speed...
A block of mass m1 = 1.90 kg initially moving to the right with a speed of 4.6 m/s on a frictionless, horizontal track collides with a spring attached to a second block of mass m2 = 4.8 kg initially moving to the left with a speed of 1.1 m/s.The spring constant is 519 N/m. What if m1 is initially moving at 3.4 m/s while m2 is initially at rest? (a) Find the maximum spring compression in this case. x...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT