Newton's Second Law and Third Law of Motion
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Questions and Answers

Which law of motion states that moving objects keep moving, and objects at rest stay at rest?

  • Newton's Second Law
  • Newton's Fourth Law
  • Newton's Third Law
  • Newton's First Law (correct)

    • What is the mathematical expression for Newton's Second Law of Motion?

  • $F = \frac{d}{dt}$
  • $F = mv$
  • $F = ma$
  • $F = m\frac{dv}{dt}$ (correct)

    • In the context of Newton's second law, what does the derivative act upon if the mass does not change with time?

  • Force
  • Velocity (correct)
  • Acceleration
  • Momentum

    • According to Newton's third law of motion, how do action and reaction forces act?

    <p>In opposite directions</p> Signup and view all the answers

    If an object exerts a force on another object, what does Newton's Third Law state about the direction of the second object's force?

    <p>It is equal in magnitude and opposite in direction.</p> Signup and view all the answers

    What is the relationship between force and acceleration according to Newton's laws of motion?

    <p>More force leads to more acceleration.</p> Signup and view all the answers

    Which of the following forces is responsible for binding protons within the nucleus?

    <p>Strong nuclear force</p> Signup and view all the answers

    What type of nuclear decay process is governed by the weak nuclear force?

    <p>Beta decay</p> Signup and view all the answers

    Which of the following particles was first predicted by Wolfgang Pauli?

    <p>Neutrino</p> Signup and view all the answers

    What is the approximate range of the weak nuclear force?

    <p>Less than 1 femtometer</p> Signup and view all the answers

    In the context of pseudo forces, from which frame of reference are these forces observed?

    <p>Non-inertial frame</p> Signup and view all the answers

    Which of the following statements about the relative strengths of the fundamental forces is correct?

    <p>Strong nuclear force &gt; Weak nuclear force &gt; Gravitational force</p> Signup and view all the answers

    What law of motion explains why water droplets fall off a wet cloth when shaken?

    <p>Newton's second law of motion (force = mass x acceleration)</p> Signup and view all the answers

    When a person is swimming, which of Newton's laws of motion are they following?

    <p>All of Newton's laws apply simultaneously</p> Signup and view all the answers

    For a spring-mass system described by $m\ddot{x} = -kx$, what is the time period (T) of oscillations?

    <p>$T = 2\pi\sqrt{m/k}$</p> Signup and view all the answers

    In an Atwood's machine with masses $m_1$ and $m_2$ connected by a massless string over a frictionless pulley, what is the acceleration of the system?

    <p>$a = g(m_2 - m_1)/(m_1 + m_2)$</p> Signup and view all the answers

    A block of mass m is held motionless on a frictionless inclined plane of mass M at an angle θ. When released, what is the acceleration of the block?

    <p>mg sin(θ)/(M + m cos(θ))</p> Signup and view all the answers

    In a double Atwood's machine with three masses, what additional information is needed to determine the acceleration of the system?

    <p>The values of all three masses</p> Signup and view all the answers

    What is the relationship between torque and force in rotational motion?

    <p>Torque is the position-dependent equivalent of force in rotational motion.</p> Signup and view all the answers

    What is the formula for the magnitude of the torque acting on a particle?

    <p>$\tau = r F \cos \theta$</p> Signup and view all the answers

    How does torque cause angular acceleration in a body?

    <p>Torque directly causes a change in the rotational state of the body.</p> Signup and view all the answers

    What is the role of torque in the power of engines and motors?

    <p>Torque is used to measure the angular power output of engines and motors.</p> Signup and view all the answers

    Why is it important to understand the concepts of torque and angular momentum when studying rigid body motion?

    <p>Torque and angular momentum are essential for understanding the rotational state and behavior of rigid bodies.</p> Signup and view all the answers

    How is the position where a force is applied important in determining the torque on a body?

    <p>The position of the force application affects both the magnitude and direction of the torque on the body.</p> Signup and view all the answers

    What is the scalar quantity $mv^2$ defined as?

    <p>Kinetic energy</p> Signup and view all the answers

    According to the work-energy theorem, what is the work done by the force acting on the particle equal to?

    <p>The change in the kinetic energy</p> Signup and view all the answers

    What is the condition for a force to be considered conservative?

    <p>The work done by the force must be the same for any possible path between two points.</p> Signup and view all the answers

    According to Stoke's theorem, how can the equation $\int_\text{path} \mathbf{F}\cdot d\mathbf{r} = 0$ be transformed?

    <p>$\int_\text{path} \mathbf{F}\cdot d\mathbf{r} = \int_\text{area} \nabla \times \mathbf{F} \cdot d\mathbf{s}$</p> Signup and view all the answers

    What is the significance of the work done being zero around any closed path in a conservative force field?

    <p>The force is not path-dependent.</p> Signup and view all the answers

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