Answer:
3.486 km
Explanation:
Suppose Joe and Max's directions are perfectly perpendicular (east vs north). We can calculate their distance at the destinations using Pythagorean theorem:
where J = 0.5 km and M= 3.45 km are the distances between Joe and Max to their original parting point, respectively. s is the distance between them.
Answer:
V = 3.6385 m/s
θ = 47.46 degrees
Explanation:
the important data in the question is:
Skater 1:
= 39.6 kg
direction: south (axis y)
= 6.21 m/s
Skater 2:
= 52.1 kg
direction: east (axis x)
= 4.33 m/s
Now using the law of the conservation of linear momentum ( and knowing that the collision is inelastic we can do the next equations:
(eq. 1)
(eq. 2)
Where and
is the velocity of the sistem in x and y after the collision.
Note: the conservation of the linear momentum have to be make once by each axis.
Now, in the (eq. 1) the skater 1 don't have velocity in the axis x, so we can replace by 0 in the equation and get:
(eq. 1)
also, in the (eq. 2) the skater 2 don't have velocity in the axis y, so we can replace by 0 in the equation and get:
(eq. 2)
Now, we just replace the data in both equations:
(eq. 1)
(eq. 2)
solving for and
we have:
= 2.46 m/s
= 2.681 m/s
using the pythagoras theorem we can find the magnitude of the velocity as:
V =
V = 3.6385 m/s
For find the direction we just need to do this;
θ =
θ = 47.46 degrees