Physics 1 Quiz - BSc Computer Science 2024/25
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Questions and Answers

What will be the motion of the object experiencing a friction force of 20 N and a pushing force of 20 N?

  • Decelerating
  • Accelerating forwards
  • Coming to a complete stop
  • Moving at a constant speed (correct)

    • What is the acceleration of a mass of 2 kg subjected to a 20 N force to the right and a 14 N force to the left?

  • 8 m/s² to the left
  • 3 m/s² to the left
  • 10 m/s² to the right
  • 1.5 m/s² to the right (correct)

    • How is power defined in physics?

  • The amount of work done in a given time (correct)
  • The force exerted over a distance
  • The change in energy over time
  • The speed of an object regardless of force

    • What does the work-kinetic energy theorem relate to?

    <p>The change in kinetic energy due to work done</p> Signup and view all the answers

    In an isolated system, which physical quantity is conserved?

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

    What does the negative sign in Hooke's law signify?

    <p>The spring force acts opposite to displacement</p> Signup and view all the answers

    What characterizes an elastic collision between two objects?

    <p>Total kinetic energy is conserved</p> Signup and view all the answers

    Which object has a higher rotational kinetic energy if a hollow pipe and a solid cylinder have the same radius, mass, and length?

    <p>Hollow pipe</p> Signup and view all the answers

    Which trigonometric function has a larger value for an angle of 30°?

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

    What is the equivalent of 30 degrees in radians?

    <p>$\frac{\pi}{6}$</p> Signup and view all the answers

    What is the mass of one square centimeter of paper with a density of 80 grams per square meter?

    <p>0.08 grams</p> Signup and view all the answers

    What is the angle with the x-axis of a vector with components 10 in the x direction and 9 in the y direction?

    <p>$\tan^{-1}(\frac{9}{10})$</p> Signup and view all the answers

    What is the final velocity of a car initially at rest, traveling for 50 m at a constant acceleration of 1 m/s²?

    <p>5 m/s</p> Signup and view all the answers

    How far does a car moving at a constant speed of 10 m/s travel in 300 milliseconds?

    <p>3 m</p> Signup and view all the answers

    How long does it take for a voice to travel 100 m if the speed of sound is 340 m/s?

    <p>0.29 seconds</p> Signup and view all the answers

    What is the modulus of a vector with components 3 in the x direction and 4 in the y direction?

    <p>5 units</p> Signup and view all the answers

    How long does it take for an apple to reach the ground if it detaches from a tree at an altitude of 2 m?

    <p>0.64 seconds</p> Signup and view all the answers

    What is the acceleration of a body initially at rest on an inclined plane when it is allowed to slip without friction?

    <p>g sin(θ)</p> Signup and view all the answers

    Which statement correctly describes the forces exerted by two interacting objects according to Newton's third law?

    <p>F12 is equal to F21</p> Signup and view all the answers

    What is the linear momentum of an object in motion modeled as a point-like particle of mass m moving with velocity v?

    <p>m·v</p> Signup and view all the answers

    In a position-vs-time graph, what does the slope at a point represent?

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

    If vector A has components (5, 0) and vector B has components (0, 3), what are the components of vector C = B - A?

    <p>(-5, 3)</p> Signup and view all the answers

    What kind of motion does a projectile follow assuming there is no friction?

    <p>Parabolic motion</p> Signup and view all the answers

    What is the tension in each cable if a traffic light of weight W hangs at a 45° angle from two lightweight cables?

    <p>W/√2</p> Signup and view all the answers

    Is the magnitude of Earth's gravitational force on the Moon greater than the magnitude of the Moon's gravitational force on the Earth?

    <p>Yes, it is always greater.</p> Signup and view all the answers

    How much work is required to load a spring a second time by a distance of 2d compared to loading it by a distance of d?

    <p>The work is four times as much.</p> Signup and view all the answers

    In an inelastic collision, if a mass of 2 kg collides with a mass of 1 kg initially at rest, what will be the final velocity of the system?

    <p>1.5 m/s</p> Signup and view all the answers

    What is the gravitational force exerted by a planet on Moon 2, which is in a circular orbit of radius 2r?

    <p>It is half the force on Moon 1.</p> Signup and view all the answers

    When a rock of mass 2m is dropped from a height h, how does its kinetic energy compare to a rock of mass m dropped from the same height?

    <p>It is twice as much as the kinetic energy of mass m.</p> Signup and view all the answers

    For a body hanging in equilibrium at the end of a spring with an elastic constant k = 5 N/m and mass 10 g, what is the deformation of the spring?

    <p>0.2 m</p> Signup and view all the answers

    What happens to the pressure of an ideal gas when the temperature in an isolated system increases from 10°C to 293°C while keeping the volume constant?

    <p>Pressure increases.</p> Signup and view all the answers

    What is the core concept behind the angular momentum of a mass in circular motion?

    <p>It is the product of mass, velocity, and distance to the axis of rotation.</p> Signup and view all the answers

    Study Notes

    Training Questions - Physics 1

    • Course: BSc in Computer Science 2024/25
    • Instructor: Antonio Riggio
    • Email: [email protected]

    A. BASIC

    • Trigonometric Functions:

      • For a 30° angle, the cosine value (0.5) is larger than the sine value.
      • The cosine of 60° is 0.5.

    • Units Conversion:

      • 30 degrees = π/6 radians
      • A sheet of paper with 80 g/m² density, 1 cm² mass = 0.8 g
      • 72 km/h = 20 m/s

    • Vector Quantities:

      • Vector quantity direction and magnitude
      • Scalar quantity only magnitude

    • Components of a Vector:

      • The angle with the x-axis for a vector with x-component 10 and y-component 9 is approximately 42°.
      • The modulus of a vector with x-component 3 and y-component 4 is 5.

    • Scalar Product:

      • The scalar product is maximized when the vectors are in the same direction.
      • The scalar product of two vectors is a quantity, not a vector.

    • Cross Product:

      • The cross product of two vectors is a vector.
      • The magnitude of the cross product is maximized when the vectors are perpendicular.

    Elementary One-Dimensional Motion

    • Average Velocity: The average velocity of a particle during a time interval is the total displacement divided by the total time.

    • Kinematic Equation (Constant Acceleration): The kinematic equation for a point-like body moving along the x-axis with constant acceleration, where the body starts at the origin and at rest is, x=1/2 at^2.

    Particle Under Constant Velocity

    • Distance Traveled: A car moving at 10 m/s for 0.3 seconds travels 3 meters.

    • Time to reach: Sound, traveling at 340 m/s, takes 0.3 seconds to travel 100 meters.

    Particle Under Constant Acceleration

    • Final Velocity: A car initially at rest, accelerating at 1 m/s² for 50 meters, has a final velocity of 10 m/s.

    Free-Falling Objects

    • Impact Speed: An apple falling 1 meter will have a speed of ~4.43 m/s on impact. - Time to Ground: When dropping from 2m, the time it takes for an apple to hit the ground is approximately 0.63 seconds.

    Motion Along an Inclined Plane

    • Acceleration: The acceleration of a body sliding down an inclined plane (without friction) is dependent on the incline's angle and gravity.

    Newton's Laws

    • Interaction Forces: For interacting objects, the force of one object on another is equal and opposite to the force of the second object on the first.

    • Mass and Weight: Mass is a measure of an object's inertia, while weight is a measure of the force of gravity on an object.

    • Net Force: The net force is the vector sum of all forces acting on an object.

    Linear Momentum

    • Definition: Linear momentum is the product of mass and velocity.

    Motion and Kinematics

    • Acceleration vector: An acceleration vector is a vector quantity that includes a direction and a magnitude that shows the rate of change of velocity.

    • Slope of position-time graph: The slope of the position-time graph of an object represents the velocity.

    Difference between Vectors

    • Vector Subtraction: The vector difference (RF-Ri) points from the initial point to the final point.

    • Vector Component Subtraction: Vector C = (5,0)- (0,3), is (-5, -3)

    B. ADVANCED

    • Dimensional Analysis:
      • Density is defined as mass per unit volume (M/L3).
      • x = at is dimensionally correct if acceleration and time have appropriate units.
      • Units of elastic potential energy are typically energy units, like Joules (kg m2/s2).
      • The dimensional units of centripetal acceleration are length/time2 (L/T2).
      • The dimensional units of the spring constant k are Force/Distance (M L /T2L) or M/T2.

    Projectile Motion

    • Path: Projectile motion is considered two dimensional, or the superposition of the horizontal motion and vertical motion.

    Circular Motion

    • Angular speed: Andy's angular speed is twice Charlie's.

    Applications of Newton's Second Law

    • Balanced Forces: Forces acting on an object are balanced when the net force is zero.

    Friction Forces

    • Vector Components: Friction forces are vector quantities.

    Work Done

    • Power: Power is the rate at which work is done (unit W or J/s), work is a scalar.

    Work and Energy

    • Work-Energy Theorem: The work-kinetic energy theorem relates total work done to the change in kinetic energy.

    Work and Potential Energy

    • Energy Transfer: In the system of the ball, the spring and the Earth, during a vertical oscillation, there is potential energy, kinetic energy, and possible internal energy.

    Elastic Force

    • Hooke's Law: Hooke's law describes an elastic force as being opposite to the change in the length (or position, more generally).

    Linear Momentum and Collisions

    • Elastic Collisions: In an elastic collision, both kinetic energy and linear momentum are conserved.

    • Linear Momentum Conservation: The total linear momentum of an isolated system is conserved.

    Center of Mass

    • Net External Forces: The net external force on a system of particles determines the acceleration of the center of mass.

    Angular Momentum

    • Conservative Forces: The angular momentum of a closed system remains constant in the absence of external torques.

    Rotation of a Rigid Object

    • Rotational Kinetic Energy: An object with higher rotational kinetic energy has larger moment of inertia and/or angular velocity.

    • Moment of Inertia: Moment of inertia is a measure of a body's resistance to changes in angular velocity.

    Universal Gravitation

    • Gravitational Force Comparison: The gravitational force of Earth on the moon is greater than that of the moon on Earth is false.

    Temperature and Heat

    • Energy Creation: Energy cannot be created.

    Elastic Energy

    • Spring Work: Compressing a spring twice as far requires 4 times more work. The faster dart results from transferring more energy to the dart when the spring is compressed further.

    Gravitational Potential Energy

    • Kinetic Energy after dropping: The final kinetic energy of the 2m rock will be twice as great as compared to the 1m rock.

    Elastic Force

    • Equilibrium: The deformation occurs when the weight exerted on the spring (10g mass) is in equilibrium with the elastic force provided by the spring.

    Collisions

    • Inelastic Collisions: In an inelastic collision, kinetic energy is not conserved, but momentum is still conserved.

    Center of Mass

    • 2D System Position: The center of mass (cm) position is calculated through the weighted averages of each mass position.

    Angular Momentum

    • Angular Motion: The angular momentum is calculated by taking the sum of each moment arm and its corresponding linear momentum.

    Rotation of a Rigid Object.

    • Moment of Inertia Calculation: Calculation of moment of inertia, for the given situation around a particular axis.

    Universal Gravitation

    • Gravitational Force Calculation: Calculating the gravitational force based on the given information.

    Temperature and Heat

    • Ideal Gas Pressure/Temperature: The pressure increases as temperature increases in an ideal gas.

    Work and Power

    • Force and Displacement: Determining the work done (the force and the displacement are in a direction).

    Elastic Energy

    • Spring Potential Energy: The formula for the spring potential energy.

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    Description

    Test your knowledge with this Physics 1 quiz based on fundamental concepts such as trigonometric functions, vector quantities, and units conversion. This quiz is specifically designed for BSc Computer Science students for the academic year 2024/25. Challenge yourself and review key physics principles essential for your studies.

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