A baseball is thrown vertically upward and feels no air resistance. As it is rising:Group of answer choicesIts kinetic energy is conserved, but its momentum is not conserved.Both its momentum and its mechanical energy are conserved.Both its momentum and its kinetic energy are conserved.Its momentum is not conserved, but its mechanical energy is conserved.Its gravitational potential energy is not conserved, buts its momentum is conserved.
Question
A baseball is thrown vertically upward and feels no air resistance. As it is rising:Group of answer choicesIts kinetic energy is conserved, but its momentum is not conserved.Both its momentum and its mechanical energy are conserved.Both its momentum and its kinetic energy are conserved.Its momentum is not conserved, but its mechanical energy is conserved.Its gravitational potential energy is not conserved, buts its momentum is conserved.
Solution 1
As the baseball is thrown vertically upward and there is no air resistance, we need to determine what is conserved during its upward motion.
First, let's consider the concept of conservation of momentum. Momentum is defined as the product of an object's mass and its velocity. In this case, as the baseball is thrown upward, its velocity is decreasing due to the opposing force of gravity. Since the velocity is changing, we can conclude that the momentum of the baseball is not conserved during its upward motion.
Next, let's examine the concept of conservation of kinetic energy. Kinetic energy is defined as the energy an object possesses due to its motion. As the baseball is thrown upward, its velocity is decreasing, which means its kinetic energy is also decreasing. Therefore, we can conclude that the kinetic energy of the baseball is not conserved during its upward motion.
Now, let's consider the concept of conservation of mechanical energy. Mechanical energy is the sum of an object's kinetic energy and potential energy. As the baseball is thrown upward, its kinetic energy is decreasing, but its potential energy is increasing due to its rising height. The decrease in kinetic energy is equal to the increase in potential energy, resulting in the conservation of mechanical energy. Therefore, we can conclude that the mechanical energy of the baseball is conserved during its upward motion.
In summary, during the baseball's upward motion, its momentum is not conserved, its kinetic energy is not conserved, but its mechanical energy is conserved.
Solution 2
As the baseball is thrown vertically upward and there is no air resistance, we need to determine what is conserved during its upward motion.
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Kinetic energy: Kinetic energy is the energy of motion. Since the baseball is moving upward, it has kinetic energy. However, as it rises against gravity, its speed decreases, and therefore its kinetic energy decreases. Therefore, its kinetic energy is not conserved.
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Momentum: Momentum is the product of an object's mass and its velocity. As the baseball is thrown upward, its mass remains constant. However, its velocity decreases due to the opposing force of gravity. Therefore, its momentum is not conserved.
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Mechanical energy: Mechanical energy is the sum of an object's kinetic energy and potential energy. As mentioned earlier, the baseball's kinetic energy decreases as it rises. However, its potential energy increases as it gains height against gravity. Therefore, its mechanical energy is conserved.
Based on the above analysis, the correct answer is: Its momentum is not conserved, but its mechanical energy is conserved.
Similar Questions
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