Question

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)?

Homework Answers

Answer #1


let v be the speed of bomb before explosion


momentum before explosion Pi = (m1+m2+m3)*V


after explosion

v1 = 2*cos30i + 2*sin3o j

v2 = 1.5 i


v3 = 4*cos45i - 4*sin45 j


momentum after explosion Pf = m1*v1 + m2*v2 + m3*v3

from momentum conservation


pi = Pf


(m1+m2+m3)*V = m1*v1 + m2*v2 + m3*v3


(1 + 2 + 3)*V = (1*(2*cos30i + 2*sin3o j)) + (2*1.5i) + (3*(4*cos45i - 4*sin45 j))

6*V = (2*cos30 + 3 + 12*cos45)i + (2*sin30 - 12*sin45)j


V = 2.2 i - 1.25 j

magnitde = sqrt(2.2^2+1.25^2) = 2.53 m/s


direction = tan^-1(-1.25/2.2) = -29.6

direction is 29.6 degrees below the horizantal

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
1) The two objects ( M1=5kg V1=2m/s , M2=3kg V2=-2m/s) collide together after the collision. Find...
1) The two objects ( M1=5kg V1=2m/s , M2=3kg V2=-2m/s) collide together after the collision. Find the velocity of the two objects after the collision. find v1 final and v2 final
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.
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...
An object with total mass mtotal = 15.5 kg is sitting at rest when it explodes...
An object with total mass mtotal = 15.5 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.5 kg moves up and to the left at an angle of θ1 = 22° above the –x axis with a speed of v1 = 26.3 m/s. A second piece with mass m2 = 5.3 kg moves down and to the right an angle of θ2 = 27° to the right of the -y axis...
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 = 26.1 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...
An object with total mass mtotal = 17.4 kg is sitting at rest when it explodes...
An object with total mass mtotal = 17.4 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.9 kg moves up and to the left at an angle of θ1 = 21° above the –x axis with a speed of v1 = 25.9 m/s. A second piece with mass m2 = 5.1 kg moves down and to the right an angle of θ2 = 26° 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 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 particle m1 = 0.500 kg moving with a velocity of v1 = (3.60 m/s, 25.0°)...
A particle m1 = 0.500 kg moving with a velocity of v1 = (3.60 m/s, 25.0°) collides and sticks with another particle m2 = 1.50 kg moving with a velocity of v2 = (2.00 m/s, 180.0°). Find the final velocity of the system after the collision. Find the ij vector and the magnitude and direction using the vector components method. Then use the graphical method to scale to find the magnitude and direction. The two methods should compare within a...
There is object-1 of mass m1=2.84kg moving on +x axis with the velocity of v1=9.62m/s. Object-1...
There is object-1 of mass m1=2.84kg moving on +x axis with the velocity of v1=9.62m/s. Object-1 is explode into two segments of masses m2=1.74 kg and m3=1.10kg. Mass m2 moves in +250 with the velocity of 3.57m/s. a) Find the x and y-components of velocity of mass m3 after collision? (4 points) b) Find the velocity component of x-direction of the center of mass of the two-particle system after collision. Find the velocity component of y-direction of the center of...