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?
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?
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?
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?
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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?
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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?
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What happens to a block of mass m placed on a triangular prism of mass M when released from rest on a smooth incline?
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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?
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What is the correct expression for the acceleration of the prism?
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What is the tension in the string KH connecting the knot to the helicopter?
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Which statement regarding the distance covered and displacement for the first four seconds is correct?
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What is the distance traveled by the particle during the 5th and 6th seconds?
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What can be said about the average velocity of a particle between t = 10 s to t = 15 s?
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In the motion of a particle defined by the equation $v = t^2 - 6t + 8$, which statement is true?
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For two projectiles launched at different angles from the same height, which statement is correct?
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In regards to the displacement of a particle projected vertically upwards, which statement is correct?
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If tension in string KH is assumed to be unaffected by different attachment points, which of the following holds true?
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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.
