A fairground sling-shot is shown below - Leaving Cert Physics - Question 6 - 2017
Question 6
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
Force: A force is defined as an interaction that causes an object to move or accelerate, calculated using Newton's second law as F=ma, where F is the force, m is the mass, and a is the acceleration.
Acceleration: Acceleration is the rate of change of velocity, represented mathematically as a=tv−u, where v is the final velocity, u is the initial velocity, and t is the time taken.
Gravity: Gravity is the attractive force between two masses. It can be calculated using the formula g=r2GM, where G is the gravitational constant, M is the mass, and r 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=21mv2, where m is the mass and v is the velocity of the pod.
Step 3
What form of energy does the pod have at its highest point?
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Answer
At its highest point, the pod possesses potential energy. This energy can be calculated using the formula: PE=mgh, where m is the mass, g is the acceleration due to gravity, and h 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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The potential energy (PE) stored in the springs can be calculated as follows:
PE=mgh=400imes9.8imes50=196000extJ
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:
Weight (W) acting downwards, calculated as W=mg.
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/s
Step 8
State one energy loss that might prevent the pod from reaching its maximum height.
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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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