Consider a golf club hitting a golf ball. To a good approximation, we can model this as a collision between the rapidly moving h
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Answer:
6.35 m/s
Explanation:
The motion of the salmon is equivalent to that of a projectile, which consists of two independent motions:
- A horizontal motion with constant speed
- A vertical motion with constant acceleration (, acceleration of gravity)
The horizontal velocity of the salmon is given by:
where
u = ? is the initial speed
is the angle of projection
Then the horizontal distance covered by the salmon after a time t is given by
Or equivalently, the time taken to cover a distance d is
(1)
Along the vertical direction, the equation of motion is
(2)
where
is the initial vertical velocity
If we substitute (1) into (2), we get:
We now that in order to reach the breeding grounds, the salmon must travel a distance of
d = 2.02 m
reaching a height of
h = 0.574 m
Substituting these data into the equation and solving for u, we find the initial speed that the salmon must have:
Density is calculated by dividing the mass by the volume.
D=
Substitute the corresponding values into the equation.
D=
D=5.55555556 g/cm³
We can round this value up to about 5.6, so the density of the material would be about 5.6 g/cm³.