Thank you for visiting A 3600 kg speedboat is coming toward the docks with an initial velocity of 22 4 m s If it takes 15 0 seconds to. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
The work done on the boat is given by the negative of the initial kinetic energy of the boat. This is calculated using the mass and velocity of the boat, and follows from the work-energy theorem.
Explanation:
This physics question is asking for the calculation of work done by water resistance on the boat as it comes to rest, given its initial conditions. We can calculate this using the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy.
To begin, we use the formula for kinetic energy, KE = 1/2 * m * v2, where m is the mass and v is the velocity. Initially, the kinetic energy of the boat is KE_init = 1/2 * 3600 kg * (22.4 m/s)2.
When the boat is at rest, its final kinetic energy is zero. Therefore, the work done is equal to KE_final - KE_init, i.e., the negative of the initial kinetic energy.
The negative sign indicates that the work is done against the motion of the boat, i.e., by the water resistance.
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