By definition we have that the energy at the top of the ramp is equal to the energy at the bottom of the ramp. This is due to the principle of energy conservation.
We have then:
The energy at the top is only potential energy:
Where,
- <em>m: mass
</em>
- <em>g: acceleration of gravity
</em>
- <em>h: vertical height of the ramp
</em>
The energy when it falls is transformed into kinetic energy and therefore:
Where,
- <em>v: object speed.
</em>
Therefore we have:
Answer:
The potential energy is transformed into kinetic energy.
Explanation:
Winds, water density, and tides all drive ocean currents. Coastal and sea floor features influence their location, direction, and speed. Earth's rotation results in the Coriolis Effect which also influences ocean currents
Part a can be solve using the equation of trajectory:
Y = x tana + (g*x^2)/ [2(V0^2)*(cos a)^2]
Where y is the height
X is the length
G is the acceleration due to gravity
Vo Is the initail velocity
a is the angle of trajectory
1.2 = 1.35 tan(0) +
(9.81*1.35^2)/ [2(V0^2)*(cos 0)^2]
Solve for V0 = 2.729 m/s
b. can be solve using the formula
v = sqrt(2gy)
= sqrt ( 2*1.2*9.81)
= 4.852 m/s going
down ( 0 degree from the horizontal)
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Answer:
The work done is 205 kJ.
Explanation:
Hi there!
Work can be calculated using the following equation:
W = F · Δx
Where:
W = work
F = applied force
Δx = displacement
In this case, the force varies with the position, so we can divide the traveled distance in very small parts and calculate the work done over each part of the trajectory. Then, we have to sum all the works and we will obtain the work done from the initial position (xi) to the final position (xf). This is the same as saying:
W = ∫ F · dx
F = 3.6 N/m³ · x³ - 76 N
W = ∫ (3.6 x³ - 76)dx
W = 0.9 x⁴ - 76x
Evaluating from xi to xf:
W = 0.9 N/m³ (21.9 m)⁴ - 76 N · 21.9 m - 0.9 N/m³(5.41 m)⁴ + 76 N · 5.41 m
W = 205 kJ
Answer:
Explanation:
"Rotation" refers to an object's spinning motion about its own axis. "Revolution" refers the object's orbital motion around another object. For example, Earth rotates on its own axis, producing the 24-hour day. Earth revolves about the Sun, producing the 365-day year.
