Kinetic energy: the energy of motion
Work: the change in kinetic energy
Power: the rate of work done
Explanation:
The kinetic energy of an object is the energy possessed by the object due to its motion. Mathematically, it is given by:
where
m is the mass of the object
v is its speed
The work done an object is the amount of energy transferred; according to the energy-work theorem, it is equal to the change in kinetic energy of an object:
where
is the final kinetic energy
is the initial kinetic energy
Finally, the power is the rate of work done per unit time. Mathematically, ti can be expressed as
where
W is the work done
t is the time elapsed
Learn more about kinetic energy, work and power:
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Answer:
W = 7.5 J
Explanation:
W = KE
W = ½mv² = ½0.6(5²) = 7.5 J
Niño, piedra y ascensor están todos en el mismo marco de referencia inercial.
los 2 m / s no son importantes.
One of the formulas for calculating electrical power is
Power = (voltage)² / (resistance)
Since this problem wants us to find the voltage, let's
re-arrange the formula.
Multiply each side by (resistance):
(Voltage)² = (power) x (resistance)
Take the square root of each side:
Voltage = √ (power x resistance)
THERE's the formula we can use to find the voltage for this problem.
Voltage = √ (2,083 W x 25.4 Ω)
Voltage = √ (52,908.2 W-Ω )
Voltage = 230 volts
Answer:
0.3 m
Explanation:
Initially, the package has both gravitational potential energy and kinetic energy. The spring has elastic energy. After the package is brought to rest, all the energy is stored in the spring.
Initial energy = final energy
mgh + ½ mv² + ½ kx₁² = ½ kx₂²
Given:
m = 50 kg
g = 9.8 m/s²
h = 8 sin 20º m
v = 2 m/s
k = 30000 N/m
x₁ = 0.05 m
(50)(9.8)(8 sin 20) + ½ (50)(2)² + ½ (30000)(0.05)² = ½ (30000)x₂²
x₂ ≈ 0.314 m
So the spring is compressed 0.314 m from it's natural length. However, we're asked to find the additional deformation from the original 50mm.
x₂ − x₁
0.314 m − 0.05 m
0.264 m
Rounding to 1 sig-fig, the spring is compressed an additional 0.3 meters.
