An oil tanker is partially filled with oil and moves forward on a leve...
The free surface of oil is inclined to the horizontal with larger depth at the rear end as the oil tanker is moving forward with uniform acceleration.
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An oil tanker is partially filled with oil and moves forward on a leve...
Explanation:
When an oil tanker is partially filled with oil and moves forward on a level road with uniform acceleration, the free surface of oil in the tanker will be inclined to the horizontal with a larger depth at the rear end. This can be explained by considering the concept of inertia and the force exerted on the oil due to the acceleration of the tanker.
1. Inertia:
Inertia is the property of matter that resists any change in its state of motion. When the tanker accelerates forward, the oil in the tanker tends to remain at rest due to its inertia. As a result, the oil moves backward relative to the tanker, creating a sloping free surface.
2. Force exerted on the oil:
When the tanker accelerates forward, a force is exerted on the oil in the direction opposite to the acceleration. This force is known as the pseudo force or the inertial force. The magnitude of this force depends on the mass of the oil and the acceleration of the tanker.
3. Effect on the free surface of oil:
The force exerted on the oil causes it to move towards the rear end of the tanker. As a result, the depth of the oil is larger at the rear end compared to the front end. This creates an inclined free surface of the oil, with a larger depth at the rear end.
4. Parabolic curves:
The option 'd' states that the free surface of the oil assumes parabolic curves. However, this is not the case. The free surface of the oil is not curved in a parabolic shape but rather inclined with a larger depth at the rear end.
Therefore, the correct answer is option 'c' - the free surface of the oil is inclined to the horizontal with a larger depth at the rear end.
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