Answer: 
Explanation:
For this exercise you can use the Pythagorean theorem to find the magnitude of the resultant displacement.
Then:

You can observe that the square of the displacement is equal to the sum of the square of the horizontal displacement and the square of the vertical displacement.
Since the pirate walks 37.0 meters north and then turns and walks 8.5 meters east:

Substituting values and solving for "d", you get:

It moves relative to the stars
Explanation:
Momentum before collision:
(2 kg) (4 m/s) + (5 kg) (-3 m/s) = -3 kg m/s
No external forces act on the balls, so momentum is conserved. Therefore, momentum after collision is also -3 kg m/s.
The kelvin temperature/scale i think
Answer:
R' = R/2
Therefore, the new resistance of the wire is twice the value of the initial resistance.
Explanation:
Consider a wire with:
Resistance = R
Length = L
Area = A = πr²
where, r = radius
ρ = resistivity
Then:
R = ρL/A
R = ρL/πr² --------------- equation 1
Now, the new wire has:
Resistance = R'
Resistivity = ρ
Length = L' = 2 L
Radius = r' = 2r
Area = πr'² = π(2r)² = 4πr²
Therefore,
R' = ρL'/πr'²
R' = ρ(2 L)/4πr²
R' = (1/2)(ρL/πr²)
using equation 1:
<u>R' = R/2</u>
<u>Therefore, the new resistance of the wire is twice the value of the initial resistance.</u>