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Q.
A body can have
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a
Zero kinetic energy and finite momentum
b
Finite acceleration and zero kinetic energy
c
Zero acceleration and increasing kinetic energy
d
Zero momentum and finite kinetic energy
answer is D.
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Detailed Solution
When a body is projected vertically upward, its motion is influenced by gravity. As a body rises, it decelerates due to the force of gravity acting in the opposite direction. At the maximum height of the body's ascent, its velocity becomes zero because all the initial kinetic energy (KE) is converted into potential energy (PE).
However, at this point, the acceleration of a body is still present. This acceleration is due to gravity and has a constant value of approximately 9.8 m/s² near the Earth's surface. Although the velocity of the body becomes zero at the maximum height, the body still experiences downward acceleration. This is because the force of gravity continues to act on the body, pulling it downward.
At the maximum height, the kinetic energy (KE) of the body becomes zero. This is because kinetic energy is dependent on the velocity of the body, and since the velocity at the peak of the trajectory is zero, the kinetic energy is also zero. However, the potential energy is at its maximum because the body is at the highest point of its trajectory, where it has the greatest height relative to the ground.
In conclusion, even though a body at maximum height has zero velocity and zero kinetic energy, the body still experiences acceleration due to gravity, which is acting on it in the downward direction. This explains why a body in vertical motion continues to accelerate until it reaches the ground, after falling from its maximum height.