0
To determine the speed of the combined spaceship after the collision, you can use the principle of conservation of momentum.
Before the collision, the total momentum of the system is the sum of the momenta of Spaceship 1 and Spaceship 2.
Calculate the initial momentum of each spaceship:
Spaceship 1:
Mass
π
1
=
300
m
1
β
=300 kg
Speed
π£
1
=
0
v
1
β
=0 m/s
Momentum
π
1
=
π
1
β
π£
1
=
300
β
0
=
0
p
1
β
=m
1
β
β v
1
β
=300β 0=0 kgΒ·m/s
Spaceship 2:
Mass
π
2
=
300
m
2
β
=300 kg
Speed
π£
2
=
4
v
2
β
=4 m/s
Momentum
π
2
=
π
2
β
π£
2
=
300
β
4
=
1200
p
2
β
=m
2
β
β v
2
β
=300β 4=1200 kgΒ·m/s
Total initial momentum:
π
totalΒ initial
=
π
1
π
2
=
0
1200
=
1200
Β kg
\cdotp
m/s
p
totalΒ initial
β
=p
1
β
+p
2
β
=0+1200=1200Β kg\cdotpm/s
After the collision, the two spaceships stick together, so their combined mass is:
Total mass
π
=
π
1
π
2
=
300
300
=
600
M=m
1
β
+m
2
β
=300+300=600 kg
Let
π£
π
v
f
β
be the final velocity of the combined spaceship.
The total momentum after the collision must be equal to the total momentum before the collision (conservation of momentum):
π
totalΒ final
=
π
β
π£
π
p
totalΒ final
β
=Mβ v
f
β
Set this equal to the total initial momentum:
1200
=
600
β
π£
π
1200=600β v
f
β
Solve for
π£
π
v
f
β
:
π£
π
=
1200
600
=
2
Β m/s
v
f
β
=
600
1200
β
=2Β m/s
So, the speed of the combined spaceship after the collision is
2
2 m/s.
Add your answer:
Earn +20 pts
Spaceship 1 and spaceship 2 have equal masses of 300kg spaceship 1s has a speed is 0 ms and spaceship 2 has a speed of 4 ms. they collide and stick together. what is their speed?
2 m/s
If two spaceships have equal masses and one is stationary and one is moving What is their combined speed if they collide and stick together?
The new speed for the combined masses will be one-half the original velocity of the moving spaceship, since the momentum is applied to a mass twice as large.
Spaceship 1 and Spaceship 2 have equal masses of 300 kg They collide Spaceship 1's final speed is 3 ms and Spaceship 2's final speed is 2 ms in the same direction What is their combined momentum?
2m/s
Spaceship 1 and Spaceship 2 have equal masses of 300 kg. They collide. Spaceship 1's final speed is 2 ms and Spaceship 2's final speed is 1 ms in the same direction. What is their combined momentum?
900kg-m/s
Spaceship 1 and Spaceship 2 have equal masses of 200 kg They collide Spaceship 1's final speed is 2 m/s, and Spaceship 2's final speed is 1 m/s in the same direction What is their combined momentum?
600kg-m/s apex miles
Spaceship 1 and Spaceship 2 have equal masses of 150 kg Spaceship 1 has a speed of 0 and Spaceship 2 has a speed of 6 They collide and stick together What is their speed?
3 m/s
Spaceship 1 and spaceship 2 have equal masses of 300kg spaceship 1s has a speed is 0 ms and spaceship 2 has a speed of 4 ms. they collide and stick together. what is their speed?
2 m/s
Spaceship 1 and Spaceship 2 have equal masses of 200 kg Spaceship 1 has a speed of 0 m s and Spaceship 2 has a speed of 6 m s They collide and stick together What is their speed?
3 m/s
Spaceship 1 and Spaceship 2 have equal masses of 300 kg Spaceship 1 has a speed of 0 ms and Spaceship 2 has a speed of 4 ms They collide and stick together What is their speed?
2 m/sec in the direction of travel of Spaceship 2, assuming they are both in frictionless outer space.
If two spaceships have equal masses and one is stationary and one is moving What is their combined speed if they collide and stick together?
The new speed for the combined masses will be one-half the original velocity of the moving spaceship, since the momentum is applied to a mass twice as large.
Spaceship 1 and Spaceship 2 have equal masses of 300 kg They collide Spaceship 1's final speed is 3 ms and Spaceship 2's final speed is 2 ms in the same direction What is their combined momentum?
2m/s
Spaceship 1 and Spaceship 2 have equal masses of 300 kg. They collide. Spaceship 1's final speed is 2 ms and Spaceship 2's final speed is 1 ms in the same direction. What is their combined momentum?
900kg-m/s
Spaceship 1 and Spaceship 2 have equal masses of 200 kg They collide Spaceship 1's final speed is 2 m/s, and Spaceship 2's final speed is 1 m/s in the same direction What is their combined momentum?
600kg-m/s apex miles
Spaceship 1 and Spaceship 2 have equal masses of 300 kg They collide Spaceship 1's final speed is 3 m/s, and Spaceship 2's final speed is 2 m/s in the same direction What is their combined momentum?
1,500 kg-m/s900 kg-m/s apex
Spaceship 1 and spaceship 2 have equal masses of 300 kg spaceship 1 has a speed of 0 ms and spaceship 2 has a speed of 6 ms If they collide and stick together what is the combined momentum?
The momentum of an object is given by the product of its mass and velocity. Therefore, the momentum of spaceship 1 before the collision is 0 kgm/s and the momentum of spaceship 2 before the collision is 1800 kgm/s. When they collide and stick together, their momenta are added, resulting in a combined momentum of 1800 kg*m/s.
Spaceship 1 and Spaceship 2 have equal masses of 200 kg They collide Spaceship 1's final speed is 2 ms and Spaceship 2's final speed is 1 ms in the same direction What is their combined momentum?
The momentum of an object is given by the formula: momentum = mass x velocity. Therefore, the combined momentum of Spaceship 1 and Spaceship 2 after the collision would be the sum of their individual momentums. Since they have equal masses and are moving in the same direction, you can simply add their individual momentums to get the combined momentum.
When two masses collide with each other will they move with equal velocities?
Generally, no.
