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A fairground sling-shot is shown below - Leaving Cert Physics - Question 6 - 2017

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A fairground sling-shot is shown below. Springs attached to the pod are used to store a form of potential energy. When the pod and springs are released, this potenti... show full transcript

Worked Solution & Example Answer:A fairground sling-shot is shown below - Leaving Cert Physics - Question 6 - 2017

Step 1

Explain the underlined terms.

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Answer

  1. Force: A force is defined as an interaction that causes an object to move or accelerate, calculated using Newton's second law as F=maF = ma, where FF is the force, mm is the mass, and aa is the acceleration.

  2. Acceleration: Acceleration is the rate of change of velocity, represented mathematically as a=vuta = \frac{v - u}{t}, where vv is the final velocity, uu is the initial velocity, and tt is the time taken.

  3. Gravity: Gravity is the attractive force between two masses. It can be calculated using the formula g=GMr2g = \frac{G M}{r^2}, where GG is the gravitational constant, MM is the mass, and rr is the distance from the center of the mass.

Step 2

What form of energy does the pod have due to its motion?

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The form of energy that the pod has due to its motion is kinetic energy. It is calculated using the formula: KE=12mv2KE = \frac{1}{2} mv^2, where mm is the mass and vv is the velocity of the pod.

Step 3

What form of energy does the pod have at its highest point?

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At its highest point, the pod possesses potential energy. This energy can be calculated using the formula: PE=mghPE = mgh, where mm is the mass, gg is the acceleration due to gravity, and hh is the height.

Step 4

Why do the occupants experience apparent weightlessness at the pod’s highest point?

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The occupants experience apparent weightlessness at the pod's highest point because they are in free fall. At this point, the only force acting on them is gravity, which creates a sensation of weightlessness as they do not exert any force against the pod.

Step 5

Calculate the potential energy stored in the springs before the pod is released.

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Answer

The potential energy (PE) stored in the springs can be calculated as follows:

PE=mgh=400imes9.8imes50=196000extJPE = mgh = 400 imes 9.8 imes 50 = 196000 ext{ J}

Step 6

Draw a diagram to show the forces acting on the pod when it is released.

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The forces acting on the pod at the moment of release include:

  1. Weight (W) acting downwards, calculated as W=mgW = mg.
  2. Spring force (F) acting upwards (restoring force from the springs). The net force on the pod at this moment is determined by the difference between the upward spring force and the weight.

Step 7

Calculate the momentum of the pod when it has a speed of 8 m s<sup>-1</sup>.

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The momentum (p) of the pod can be calculated using:

p=mv=400extkg×8extm/s=3200extkgm/sp = mv = 400 ext{ kg} \times 8 ext{ m/s} = 3200 ext{ kg m/s}

Step 8

State one energy loss that might prevent the pod from reaching its maximum height.

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Answer

One energy loss that might prevent the pod from reaching its maximum height is friction or air resistance, which opposes the motion and dissipates energy as heat.

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