Suppose that you have been chosen for a space mission to a distant planet. Due to the length of time you'll be away from Earth y
1 answer:
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Answer:
The magnitud of the velocity is
and the direccion:
degrees from the horizontal.
Explanation:
Fist we define our variables:
The letters i and j represent the direction of the movement, i in this case is the horizontal direction, and j is perpendicular to i.
velocities with sub-index 1 are the speeds before the crash, and with sub-index 2 are the velocities after the crash.
Using conservation of momentum:
Clearing for the velocity of the stone after the crash:
Substituting known values:
The magnitud of the velocity is :
and the direction:
this is -28.3 degrees from the +i direction or the horizontal direcction.
Note: i and j can also be seen as x and y axis.
Answer:
The velocity of the pin will be 6.26 m/s in the right direction.
Explanation:
Let's use the momentum conservation equation.
Initially, we have:
Where:
- m(b) is the ball mass
- v(ib) is the initial velocity of the ball
Now, the final momentum will be:
Where:
- m(p) is the pin mass
- v(fb) is the final velocity of the ball
- v(fp) is the final velocity of the pin
Then, using the equation of the conservation we have:
Therefore the velocity of the pin will be 6.26 m/s in the right direction.
I hope it helps you!