To increase the height of the rider above the water while using a jetpack rocket, one can adjust the amount of water being pumped into the jetpack and the force with which the water is expelled.
According to Newton's third law of motion, for every action, there is an equal and opposite reaction. In this context, the action is the jetpack expelling water downwards at a high velocity. The reaction to this expulsion is an upward force that propels the rider higher into the air.
Thus, to increase the height of the rider, the following adjustments can be made:
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Increase the Flow Rate of Water: By pumping more water into the jetpack and expelling it at a higher rate, the amount of downward force exerted by the water increases. According to Newton's third law, this greater downward force results in a greater upward reaction force, lifting the rider higher.
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Increase the Velocity of Water Expulsion: If the water is expelled at a higher speed (for example, by narrowing the nozzle of the jetpack), this increases the momentum of the expelled water. A higher velocity results in a greater downward force (since force is a product of mass flow rate and exit velocity), leading to an even greater upward force acting on the rider.
In summary, by increasing the amount and velocity of the water expelled from the jetpack, the force exerted by the water in the opposite direction increases, allowing the rider to achieve greater heights above the water. This illustrates Newton's third law of motion effectively, as the upward movement of the rider directly corresponds to the downward thrust created by the ejected water.
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