Where does the bulk of atmosphere oxygen come from
1 answer:
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Answer:
28.8 meters
Explanation:
We must first determine at which velocity the ball hits the water. To do so we will:
1) Assume no air resistance.
2) Use the Law of conservation of mechanical energy: E=K+P
Where
E is the mechanical energy (which is constant)
K is the kinetic energy.
P is the potential energy.
With this we have
Where:
m is the balls's mass <- we will see that it cancels out and as such we don't need to know it.
v is the speed when it hits the water.
g is the gravitational constant (we will assume g=9.8.
h is the height from which the ball fell.
Because when we initially drop the ball, all its energy is potential (and ) and when it hits the water, all its energy is kinetic (
. And all that potential was converted to kinetic energy.
Now, from we can deduce that
Therefore v=9.6
Now, to answer how deep is the lake we just need to multiply that speed by the time it took the ball to reach the bottom.
So D=9.6*3
=28.8
Which is our answer.
Answer:
(a) the compression of the spring when the block comes to rest is 4cm
(b) speed of the block is 0.427 m/s
Explanation:
Given;
mass of the block, m = 1.6 kg
spring constant, k = 902 N/m
initial speed of the block, v₀ = 0.95 m/s
(a) the compression of the spring when the block comes to rest
when the block comes to rest, the final speed, vf = 0
Apply the law of conservation of energy;
¹/₂kx² = ¹/₂mv₀²
kx² = mv₀²
x = 4 cm
(b) speed of the block
Apply the law of conservation of energy;
¹/₂mv² = ¹/₂kx²
mv² = kx²