Answer: 12) 1.07 m/s (right) 13) 4.05 m/s 14) 73 m/s 15) 10.9 m/s
Explanation:
12) Conservation of momentum. Momentum is the produce of mass and velocity.
13(2) + 15(-5) = 13(-5) + 15v
v = 1.06666... ≈ 1.07 m/s (right)
13) 18(9) + 22(0) = 18v + 22v
v = 18(9)/40 = 4.05 m/s
14) 0.65(35) + 0.08(0) = 0.65(26) + 0.08v
v = 73.125
15) This is a bit trickier. Let's ASSUME you jump off at 7 m/s relative to the truck. Doing this, we can assume that the reference frame is moving along with the truck at 10 m/s
the conservation of momentum equation becomes
600(0) + 80(0) = 600v + 80(-7)
v = 0.9333333... m/s
adding back the velocity of the reference frame means the truck is now traveling.
10.9333333... ≈ 10.9 m/s
So....
imagine the x and y axis or draw it on a piece of paper, a white board or even on your wall if you like. I'm kidding just draw it on a piece of paper
50m up and 20m down
the dog's displacement is 50 - 20 which is 30
your answer is 30m north
Answer:
number of quantum states = 8
Explanation:
To find the total number of allowed states you take into account the following relations:

in this case you have:

furthermore, for each n,l,ml quantum state you have two additional states due to the spin of the electrons.
then, you have (n,l,ml) = (2,0,0), (2,1,-1), (2,1,0), (2,1,1) and with the spin:
number of quantum states = 2*(1+3) = 8
Answer:
36.74 N
Explanation:
Given that:
A crate of oranges with a total mass (m) = 6.7 kg
angle θ = 0.7 rad
angle θ = 
angle θ = 40°
acceleration = 4.2 m/s²
Given that:
T cosθ = ma
T cos 40° = 6.7 × 4.2
T = 
T = 
T = 36.74 N
Thus, the tension in the rope = 36.74 N