Answer:
Explicación:
Definamos v como la velocidad lineal, ω como la velocidad angular e I como el momento de inercia del disco.
La energía cinética (lineal) = 1/2 mv²
La energía cinética rotacional = 1/2 I ω²
I = 1/2 m r² (donde m y r son la masa y el radio del disco)
La energía cinética rotacional = 1/2 x1/2 m r² ω²
= 1/4 m v² (v = r ω)
Energía total
= Energía cinética (lineal) + Energía cinética rotacional
= 1/2 mv² + 1/4 mv²
= 3/4 mv²
La relación de K E rotacional / K E total = 1/4 m v² / 3/4 mv²
= 1 /3
Por lo tanto, 1 /3 de la energía total se debe a la energía cinética rotacional.
Both students are correct because they highlight different aspects of waves. Raphael describes the wave in terms of its wavelength, while Lucinda focuses on its frequency, showing that both measurements are valid.
To tackle this issue, we will apply the principles linked to the Doppler effect. This effect refers to the alteration in the perceived frequency of any wave when there is relative motion between the source of the waves and the observer. It can be mathematically explained as
In this case,
=frequency detected by the receiver
=frequency emitted by the source
=speed of the detector
=speed of the source
v=speed of sound waves
Substituting values yields,
Thus, the frequency that passengers would hear is 422Hz
x₂ = 16 g m₂ / k. The spring's behavior adheres to Hooke's law, expressed as F = k x. For equilibrium illustrated in Newton's diagram, F - W = 0 and k x₁ = m₁ g, leading to k = g m₁ / x₁. In an elevator moving upward with acceleration, the relation adjusts to F - W = m a, which gives F = m (g + a). Compression becomes K x₂ = 4 m (g + 3g), simplifying to x₂ = 4m / k (4g) and ultimately x₂ = 16m2 / k g.
Answer:
X= 700 Joules
Explanation:
The inquiry pertained to the calculation of work efficiency.
The efficiency formula is stated as: Efficiency = (Useful output / input work) * 100%
The useful output specified in the problem is 140J, while input work is denoted as X. The efficiency rate provided is 20%.
Applying the efficiency formula yields
20 = (140/X) * 100
Thus, we can proceed to solve the above equation.
X= 140*100/20
X= 700 Joules
