Physics Problems and Solutions

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Questions and Answers

What is the acceleration of 5 kg mass?

  • 4 m/s²
  • 2 m/s² (correct)
  • 3 m/s²
  • 1 m/s²

The vertical height of the projectile, projected with speed u is maximum when the angle of projection with the horizontal is

  • Ï€/2 (correct)
  • Ï€/3
  • Ï€/6
  • Ï€/4

The mass of a lift is 2000 kg. When the tension in the supporting cable is 32000 N. Then its acceleration is (g = 10 m/s²)

  • 4.0 m/s² downwards
  • 4.0 m/s² upwards
  • 6.0 m/s² downwards
  • 6.0 m/s² upwards (correct)

A cricketer catches a ball of mass 200 g, moving with speed 25 m/s in 0.2 s. Then force experienced by cricketer is

<p>25 N (C)</p> Signup and view all the answers

A: Static friction is self adjusting force. R: It can adjust the value from zero to upto a limit called limiting friction.

<p>Both Assertion &amp; Reason are true and the reason is the correct explanation of the assertion (D)</p> Signup and view all the answers

In uniform circular motion which of the following quantity is zero?

<p>Both (1) &amp; (3) (C)</p> Signup and view all the answers

A river is flowing with velocity of 3 m/s. A boat can move with velocity of 4 m/s in still water. The width of river is 200 m. Minimum time required to cross the river is

<p>50 s (C)</p> Signup and view all the answers

Horizontal and vertical components of velocity of particle thrown from ground are 40 m/s and 30 m/s respectively at ground. Horizontal range of the projectile is

<p>240 m (D)</p> Signup and view all the answers

Flashcards

Acceleration of 5 kg mass

The acceleration of a 5 kg mass depends on the force acting on it, not just its mass.

Projectile height maximum angle

For maximum vertical height, the angle of projection is π/2 radians (90 degrees).

Lift acceleration

Given a 2000 kg lift with 32000 N tension, its acceleration is 6.0 m/s² upwards.

Force experienced by cricketer

A cricketer catching a 200 g ball moving at 25 m/s in 0.2 s experiences a 25 N force.

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Apparent weight on escalator

Apparent weight is more than true weight if the elevator is moving up and slowing down or moving down and speeding up.

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Static friction property

Static friction is a self-adjusting force that can vary from zero up to a maximum called limiting friction.

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Zero quantity in uniform circular motion

The change in magnitude of acceleration is zero in uniform circular motion.

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Minimum river crossing time

The minimum time to cross a 200 m river flowing at 3 m/s with a boat speed of 4 m/s in still water is 50 seconds.

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Projectile horizontal range

With horizontal velocity 40 m/s and vertical velocity 30 m/s, the projectile's horizontal range is 240 meters.

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Newton's Second Law

The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

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Projectile's Maximum Height

The projectile reaches its maximum vertical height when the angle of projection is π/2 radians (90 degrees).

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Static Friction's Key Property

Static friction is a self-adjusting force that can vary from zero up to a maximum value called limiting friction.

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Study Notes

Physics Problems and Solutions

  • Problem 1: Acceleration of a 5 kg mass

    • Mass: 5 kg
    • Force: 16 N
    • Resultant acceleration: 2 m/s²

  • Problem 2: Vertical Height of Projectile

    • Maximum vertical height achieved by a projectile is when angle of projection is 45 degrees.

  • Problem 3: Acceleration of a Lift

    • Mass of lift: 2000 kg
    • Tension in cable: 32000 N
    • Acceleration: 6.0 m/s² upwards
    • Acceleration due to gravity: 10 m/s²

  • Problem 4: Force Experienced by a Cricketer

    • Mass of ball : 200 g (0.2 kg)
    • Initial velocity: 25 m/s
    • Time taken to catch: 0.2 s
    • Force experienced by cricketer: 25 N

  • Problem 5: Apparent Weight in an Elevator

    • Apparent weight is greater than actual weight when the elevator is moving up and slowing down.

  • Problem 6: Static Friction - Assertion and Reason

    • Assertion: Static friction is a self-adjusting force. (True)
    • Reason: Static friction can vary from zero to a limiting value. (True)
    • Relationship: Reason correctly explains the assertion.

  • Problem 7: Uniform Circular Motion

    • In uniform circular motion, the magnitude of change in velocity is zero, and the magnitude of acceleration also does not change.

  • Problem 8: Time to Cross a River

    • River flow velocity: 3 m/s
    • Boat velocity in still water: 4 m/s
    • River width: 200 m
    • Minimum time to cross the river: 50 s

  • Problem 9: Projectile Range

    • Horizontal component of velocity: 40 m/s
    • Vertical component of velocity: 30 m/s
    • Horizontal range of projectile: 240 m

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