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An open vessel of water is accelerated up an inclined plane. The free water surface will
- a)be horizontal
- b)make an angle in direction of inclination of inclined plane
- c)make an angle in opposite direction to inclination of inclined plane
- d)any one of above is possible
- e)none of the above
Correct answer is option 'B'. Can you explain this answer?
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An open vessel of water is accelerated up an inclined plane. The free ...
Explanation:
When an open vessel of water is accelerated up an inclined plane, the free water surface will make an angle in the direction of inclination of the inclined plane. This can be explained by considering the forces acting on the water in the vessel.
1. Forces acting on the water:
- Gravity: The force of gravity acts vertically downwards on the water.
- Normal force: The inclined plane exerts a normal force perpendicular to its surface.
- Friction: There may be a frictional force acting parallel to the inclined plane, opposing the motion of the vessel. However, for the purpose of this explanation, we will assume that there is no friction.
2. Acceleration:
When the vessel is accelerated up the inclined plane, there is a net force acting on the water in the direction of the acceleration. This net force is the component of the gravitational force parallel to the inclined plane.
3. Tilt of the water surface:
Due to the net force in the direction of the acceleration, the water in the vessel tends to move in that direction. As a result, the water surface tilts in the same direction as the inclined plane. This is because the water particles move along the inclined plane and the water surface adjusts to accommodate this motion.
4. Angle of the water surface:
The angle made by the free water surface will be the same as the angle of inclination of the inclined plane. This can be visualized by imagining a flat water surface initially. As the vessel is accelerated up the inclined plane, the water particles move along the inclined plane, causing the water surface to tilt in the same direction.
Therefore, the correct answer is option 'B' - the free water surface will make an angle in the direction of the inclination of the inclined plane.
When an open vessel of water is accelerated up an inclined plane, the free water surface will make an angle in the direction of inclination of the inclined plane. This can be explained by considering the forces acting on the water in the vessel.
1. Forces acting on the water:
- Gravity: The force of gravity acts vertically downwards on the water.
- Normal force: The inclined plane exerts a normal force perpendicular to its surface.
- Friction: There may be a frictional force acting parallel to the inclined plane, opposing the motion of the vessel. However, for the purpose of this explanation, we will assume that there is no friction.
2. Acceleration:
When the vessel is accelerated up the inclined plane, there is a net force acting on the water in the direction of the acceleration. This net force is the component of the gravitational force parallel to the inclined plane.
3. Tilt of the water surface:
Due to the net force in the direction of the acceleration, the water in the vessel tends to move in that direction. As a result, the water surface tilts in the same direction as the inclined plane. This is because the water particles move along the inclined plane and the water surface adjusts to accommodate this motion.
4. Angle of the water surface:
The angle made by the free water surface will be the same as the angle of inclination of the inclined plane. This can be visualized by imagining a flat water surface initially. As the vessel is accelerated up the inclined plane, the water particles move along the inclined plane, causing the water surface to tilt in the same direction.
Therefore, the correct answer is option 'B' - the free water surface will make an angle in the direction of the inclination of the inclined plane.
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An open vessel of water is accelerated up an inclined plane. The free water surface willa)be horizontalb)make an angle in direction of inclination of inclined planec)make an angle in opposite direction to inclination of inclined planed)any one of above is possiblee)none of the aboveCorrect answer is option 'B'. Can you explain this answer?
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