Charlotte, a 60.0-kg skin diver, shoots a 2.0-kg spear with a speed of 15 m/s at a fish who darts quickly away without getting hit. How fast does Charlotte move backwards when the spear is shot? (Hint: To start, Charlotte and the spear are together and both are at rest)

Charlotte move backwards with 0.5 m/s when the spear is shot

Explanation:

Before collision;

m₁ = 60 kg

m₂ = 2 kg

v = 0 (since, Charlotte and the spear are together and both are at rest)

After collision

m₁ = 60 kg

m₂ = 2kg

v₁ = ?

v₂ = 15 m/s

From principle of conservation of linear moment, total momentum before collision must be equal to total momentum after collision.

v(m₁ + m₂) = m₁v₁ + m₂v₂

0 (60+2) = 60v₁ + 2 x 15

0 = 60v₁ + 30

60v₁ = -30

v₁ = - 30/60

v₁ = - 0.5 m/s

Therefore, Charlotte move backwards with 0.5 m/s when the spear is shot.

0.5 m/s

Explanation:

From Newton's third law of motion,

Total momentum before collision = Total momentum after collision

mu+m'u' = mv+m'v' Equation 1

Where m = mass of the Charlotte, m' = mass of the spear, u = initial velocity of the Charlotte, u' = initial velocity of the spear, v = Final velocity of the Charlotte, v' = Final velocity of the  spear.

Note: Since the Charlotte and the spear where initially at rest,

0 = mv+m'v'

-mv = m'v'

make v the subject of the equation

v = -(m'v'/m) Equation 2

Given: m = 60 kg, m' = 2.0 kg, v' = 15 m/s

Substitute into equation 2

v = -(2×15/60)

v = -0.5 m/s.

The negative sign shows that the Charlotte moves backward, which is in opposite direction to the motion of the spear

because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. now you can do the same thing with 0 and 2 as x. you get y=8 when x=0 and y=14 when x=2.

x   |   y

-2 |   2

0   |   8

2   |   14

graph slopes whilst gas cools, then it is flat whilst conensation to liquid happens, the coolong liquid then graphs as a slope when it solidifies graph is flat

latent heat