To solve the problem it is necessary to apply conservation of the moment and conservation of energy.
By conservation of the moment we know that

Where
M=Heavier mass
V = Velocity of heavier mass
m = lighter mass
v = velocity of lighter mass
That equation in function of the velocity of heavier mass is

Also we have that 
On the other hand we have from law of conservation of energy that

Where,
W_f = Work made by friction
KE = Kinetic Force
Applying this equation in heavier object.






Here we can apply the law of conservation of energy for light mass, then

Replacing the value of 

Deleting constants,


Answer:
vc = v cannon
mc = m cannon
vb = v ball
mb = m ball
vc = d / t
= (6.1 cm) / (0.0218 s)
= 280 cm/s
mb x vb = -mc x vc
(negative as it is in the opposite direction)
(0.0562) x vb = - (1.27) x (-280)
vb = - (1.27) x (-280) / (0.0562)
= 6323.26 cm/s
ball = 63.2 m/s
cannon = 2.8 cm/s - recommend changing to m before calculations
Assuming that the angle is the same for both ropes, then D. is the answer. You have to consider also if the ropes are close together or far apart and if the force to move the object is in line with the ropes or perpendicular to them.
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Answer:
1) Id say the dependant is the distance
2) the force is calculated by dividing the mass by 100
Explanation:
the dependant variable is the variable you measure wich is in this case distance.
Answer:

Explanation:
For this exercise let's use hooke's law
F = - k x
where x is the displacement from the equilibrium position.
x =
if we have several springs in series, the total displacement is the sum of the displacement for each spring, F the external force applied to the springs
x_ {total} = ∑ x_i
we substitute
x_ {total} = ∑ -F / ki
F / k_ {eq} = -F
1 / k_ {eq} = ∑ 1 / k_i
if all the springs are the same
k_i = k


