Numeracy/Mathematics Exam Instructions

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12 Questions

What is the main advantage of using a ramp to lift an object?

It reduces the amount of force needed at any given point in time

What is the relationship between work done and energy transferred?

They are directly proportional

What is the purpose of a simple pulley system?

To reduce the force needed to lift an object

What happens when you use a ramp to lift an object?

The force needed to lift decreases

What is the effect of spreading the lifting force over a longer distance?

It reduces the force needed

What is the benefit of using machines to lift objects?

They reduce the force needed to lift objects

What is the primary advantage of using a pulley system to lift an object?

It reduces the force needed to lift the object

What happens to the force required to lift an object when using a ramp?

It decreases due to the component of force parallel to the surface

What is the effect of adding more pulleys to a pulley system?

The force needed to lift the object decreases by half with each additional pulley

What is the primary function of a pulley in a pulley system?

To change the direction of the force needed to lift an object

What is the factor that determines the total work done in a given situation?

All of the above

Why is it often easier to lift an object using a pulley system?

Because it allows the force to be applied downwards

Study Notes

Simple Machines: Ramps and Pulleys

  • Ramps reduce the force needed to lift an object by spreading the lifting force over a longer distance, making it easier to lift heavy objects.
  • The force required to lift an object straight up against gravity is equal to its weight.
  • When using a ramp, the force exerted is resolved into two components: one perpendicular to the surface (not contributing to lifting) and one parallel to the surface (contributing to lifting).
  • The parallel component is smaller than the object's weight, requiring less force to lift the object up the ramp.

Pulley Systems

  • A pulley is a simple machine that consists of a wheel with a groove and a rope or belt that runs along the groove.
  • Pulley systems reduce the force needed to lift an object by changing the direction of the force required or by distributing the force among multiple strands of rope.
  • In a basic pulley system, one end of the rope is attached to a fixed point, while the other end is attached to the object to be lifted.
  • When you pull down on the free end of the rope, the object moves up, making it easier to lift against gravity.
  • Additional pulleys can reduce the force needed to lift an object by half, as the weight of the object is distributed equally among the strands of rope.

Factors Affecting Total Work Done

  • Force applied: greater force exerted over a distance typically results in more work done.
  • Distance moved: the greater the distance moved by the object in the direction of the force, the more work is done.
  • Angle of application: in cases where force is applied at an angle to the direction of motion, only the component of the force in the direction of motion contributes to the work done.

This quiz consists of three sections: Section A with multiple-choice questions, Section B with true or false questions, and Section C with fill-in-the-blank questions. Exam contains 30 questions in total.

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