Physics Problems: Mechanics Fundamentals

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Questions and Answers

A block of mass $m$ slides down a frictionless inclined plane of angle $\theta$. What is the magnitude of the normal force exerted by the plane on the block?

  • $mg$
  • $mg \sin(\theta)$
  • $mg \cos(\theta)$ (correct)
  • $mg \tan(\theta)$

A particle moves in a circular path with constant speed. Which of the following statements is true about its acceleration?

  • The acceleration is constant in magnitude and direction.
  • The acceleration changes in both magnitude and direction.
  • The acceleration is zero.
  • The acceleration is constant in magnitude but changes direction. (correct)

A projectile is launched at an angle of 30 degrees with respect to the horizontal with an initial velocity $v_0$. Neglecting air resistance, what is the range of the projectile?

  • $\frac{2v_0^2}{g}$
  • $\frac{v_0^2 \sqrt{3}}{g}$
  • $\frac{v_0^2}{g}$
  • $\frac{v_0^2 \sqrt{3}}{2g}$ (correct)

A force $\vec{F} = 3\hat{i} + 4\hat{j}$ (in Newtons) acts on an object, causing a displacement $\vec{d} = 2\hat{i} - \hat{j}$ (in meters). What is the work done by the force?

<p>2 J (B)</p> Signup and view all the answers

Two objects of masses $m_1$ and $m_2$ collide inelastically. Which of the following quantities is conserved?

<p>Momentum only (C)</p> Signup and view all the answers

A simple pendulum of length $L$ oscillates with a small amplitude. What is the period of oscillation?

<p>$2\pi \sqrt{\frac{L}{g}}$ (B)</p> Signup and view all the answers

A wheel with a radius of $R$ is rotating with an angular velocity of $\omega$. What is the linear speed of a point on the rim of the wheel?

<p>$R\omega$ (A)</p> Signup and view all the answers

A conservative force acts on an object. Which of the following statements is true?

<p>The work done by the force is zero for any closed path. (D)</p> Signup and view all the answers

A mass is attached to a spring and oscillates with simple harmonic motion. At what point in its motion is the velocity maximum?

<p>At the equilibrium position (D)</p> Signup and view all the answers

Two planets have radii $R_1$ and $R_2$, and masses $M_1$ and $M_2$ respectively. The ratio of the acceleration due to gravity on their surfaces, $g_1/g_2$, is:

<p>$\frac{M_1R_2^2}{M_2R_1^2}$ (C)</p> Signup and view all the answers

Flashcards

Classical Mechanics

Deals with the motion of bodies under the influence of forces, focusing on predicting and describing this motion using fundamental principles.

Kinematics

The branch of mechanics that describes the motion of objects without considering the forces that cause the motion.

Dynamics

Deals with the relationship between the motion of bodies and the forces acting on them.

Velocity

A vector quantity that describes the rate of change of an object's position with respect to time, including both speed and direction.

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Acceleration

The rate of change of velocity with respect to time.

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Mass

The measure of an object's inertia, or its resistance to acceleration.

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Force

An interaction that, when unopposed, will change the motion of an object.

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Momentum

The product of an object's mass and its velocity. A vector quantity.

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Newton's Third Law

For every action, there is an equal and opposite reaction.

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Kinetic Energy

The energy an object possesses due to its motion.

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