Complete Question
A 30 cm cm wrench is employed to loosen a bolt, with force applied 0.30m from the bolt. It requires 60 N to loosen the bolt when force is applied perpendicular to the wrench. How much force would be necessary if the force were applied at a 30-degree angle from perpendicular?
Response:
The strength needed is 
Clarification:
According to the problem, we know that
The length of the wrench is 
The distance from the bolt is 
The force necessary to loosen the bolt is 
The angle of application is 
Generally, the torque required for loosening the bolt is defined as
Now for the bolt to loosen at 
the torque at 90° must equal that at
Thus, the torque at is represented mathematically as
substituting values gives us
Answer:
The answer to the specified question will be "
".
Explanation:
Referring to the question,
⇒ 
⇒ 
...(equation 1)
⇒ 
⇒ 
...(equation 2)
Now,
From equation 1 and equation 2, we conclude
⇒ 
By substituting the value of 
, we derive
⇒ 
⇒
Definamos h como la distancia que hay desde el borde del pozo hasta la superficie del agua (en metros).
Consideremos la gravedad g como 9.8 m/s² y despreciemos la resistencia del aire.
La velocidad inicial vertical del guijarro es nula.
Ya que el guijarro impacta el agua tras 1.5 segundos, entonces:
h = 0.5 * (9.8 m/s²) * (1.5 s)² = 11.025 m
Resultado: 11.025 m
Since the absolute values of the charges are identical, the changes in potential energy remain equivalent. Consequently, the changes in kinetic energy will also match. We have:
1 = Ke/Kp = m_e * v_e^2 / m_p * v_p^2, which simplifies to:
v_e/v_p = sqrt(m_p/m_e),
indicating that the velocity of the electron is sqrt(m_p/m_e) times greater than that of the proton.
