Physics Chapter 4: Force and Motion
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Questions and Answers

What is the reading on the weighing machine in an upward accelerating elevator with a person of mass 50 kg and an acceleration of 6 m/s² on a 60° incline?

  • 80 kg (correct)
  • 40 kg
  • 50 kg
  • 160 kg
  • What is the reading on the spring balance when a 1 kg block is subjected to a 5t N force and all surfaces are assumed smooth?

  • 60 N
  • N
  • 50 N
  • 100 N (correct)
  • If a force of 5t N is applied to a block of mass 1 kg, which of the following statements about the relationship between normal reactions N1 and N2 is true?

  • N1 and N2 are independent
  • N1 is less than N2
  • N1 is equal to N2 (correct)
  • N1 is greater than N2
  • What is the normal reaction exerted by the vertical wall on a perfect smooth sphere A of mass 2 kg in contact with a block B of mass 4 kg?

    <p>80 N</p> Signup and view all the answers

    When two equal mass blocks of 2 kg each are placed on a rough surface and a force is applied on the upper block, what is the acceleration of the lower block?

    <p>4 m/s²</p> Signup and view all the answers

    What would be the tension in the cable connected to a crate A of mass 50 kg on a flat car accelerating at 2 m/s² with a friction coefficient of 0.3?

    <p>350 N</p> Signup and view all the answers

    What happens to a block of mass m placed on a triangular prism of mass M when released from rest on a smooth incline?

    <p>The block remains stationary relative to the prism</p> Signup and view all the answers

    Considering a flat car accelerating at 2 m/s² with a crate experiencing friction, how does the frictional force compare to the force due to acceleration?

    <p>It opposes the motion of the crate</p> Signup and view all the answers

    What is the correct expression for the acceleration of the prism?

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

    What is the tension in the string KH connecting the knot to the helicopter?

    <p>8000 N</p> Signup and view all the answers

    Which statement regarding the distance covered and displacement for the first four seconds is correct?

    <p>Distance and displacement are not equal in the first 4 seconds.</p> Signup and view all the answers

    What is the distance traveled by the particle during the 5th and 6th seconds?

    <p>Distance in the 5th second is more than in the 6th second.</p> Signup and view all the answers

    What can be said about the average velocity of a particle between t = 10 s to t = 15 s?

    <p>It is negative.</p> Signup and view all the answers

    In the motion of a particle defined by the equation $v = t^2 - 6t + 8$, which statement is true?

    <p>Velocity changes direction three times in the first 3 seconds.</p> Signup and view all the answers

    For two projectiles launched at different angles from the same height, which statement is correct?

    <p>They have the same speed upon reaching the ground.</p> Signup and view all the answers

    In regards to the displacement of a particle projected vertically upwards, which statement is correct?

    <p>Distance is greater than displacement throughout the motion.</p> Signup and view all the answers

    If tension in string KH is assumed to be unaffected by different attachment points, which of the following holds true?

    <p>Both tension and force remain unchanged.</p> Signup and view all the answers

    Study Notes

    Elevator and Forces

    • An elevator accelerates upwards at 6 m/s².
    • A 50 kg person stands on a weighing machine on a 60° inclined plane.
    • The weight reading will reflect the effective force due to the acceleration and inclination.

    Spring Balance

    • The reading on a spring balance asks for solutions related to a setup involving connected forces.
    • Assume smooth surfaces, ideal spring, and pulley.
    • Gravitational acceleration (g) is given as 10 m/s².

    Block and Forces

    • A force of 5TN is applied to a 1 kg block.
    • Two normal reactions are discussed: N1 from the horizontal ground and N2 from the vertical wall.
    • A graph is available illustrating the relationship between N1 and N2.

    Sphere and Wall Reaction

    • A smooth sphere (2 kg) is in contact with a rectangular block (4 kg) and a vertical wall.
    • Identifying the normal reaction from the wall on the sphere is crucial.

    Acceleration of Blocks

    • Two blocks (both 2 kg) are on a rough surface with an applied force on the upper block.
    • The goal is to find the acceleration of the lower block.

    Crate on Accelerating Car

    • A flat car accelerates at 2 m/s².
    • A crate (50 kg) connected via a cable experiences tension and friction (μ = 0.3).
    • Need to compute the tension in the cable connecting to the crate.

    Triangular Prism Dynamics

    • A triangular prism with a block on it is released on a smooth incline.
    • The block does not slip, leading to dynamics between the block and prism requiring analysis of friction.

    Helicopter and Tension Analysis

    • A helicopter lifts a box (mass 1000 kg), descending with an acceleration of 1.8 m/s².
    • Several strings are involved, with forces and tensions needing calculation.
    • Tension in the strings and atmospheric forces on the helicopter are significant.

    Projectile Motion Analysis

    • A particle is projected upwards at 50 m/s.
    • Multiple statements consider distances covered in specific seconds and comparisons of distance versus displacement.

    Position-Time Graph Interpretation

    • Analyzing position-time graphs helps in understanding displacement and distance traveled over time intervals.

    Velocity Relation and Particle Motion

    • The velocity of a particle varies according to the equation v = t² – 6t + 8.
    • The particle's behavior over the first 3 seconds includes direction changes and distance evaluations.

    Projectiles from a Height

    • Two projectiles are launched from a height with differing angles but the same initial speed.
    • Key comparisons include times of flight, horizontal distances, and speeds upon reaching the ground.

    Observer and Rope Dynamics

    • An observer starts from rest with constant acceleration against the motion of a rope.
    • As the rope crosses the observer, various dynamics related to the rope's motion need analysis.

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    Description

    Test your knowledge of forces and motion with this quiz based on Chapter 4 physics concepts. You'll encounter problems involving inclined planes, accelerations, and spring balances. Ideal for students who want to sharpen their understanding of fundamental physics principles.

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