If the area of contact increases while keeping the thrust constant, the pressure will __________.

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  1. increase
  2. remain the same
  3. first increase, then decrease
  4. decrease

Answer (Detailed Solution Below)

Option 4 : decrease
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The Correct answer is decrease.

Key Points

  • Pressure is defined as the force per unit area. Mathematically, it is expressed as P = F/A, where P is pressure, F is the thrust or force applied, and A is the area of contact.
  • If the thrust (F) is kept constant and the area of contact (A) increases, the pressure (P) will decrease as per the inverse relationship.
  • This principle is based on the fact that spreading the same force over a larger area results in reduced intensity of pressure at any given point.
  • An example can be seen in snowshoes, which are designed to distribute the weight of a person over a larger area to prevent sinking into the snow.
  • In practical applications, this concept is used in various fields such as engineering, construction, and material design to ensure proper load distribution and safety.
  • Thus, when the area of contact increases while maintaining a constant thrust, the pressure will decrease.

 Additional Information

  • Increase
    • If the thrust increases while keeping the area of contact constant, the pressure will increase. This is the opposite scenario.
    • Applications of this principle include tools and machinery like nails, knives, and hydraulic presses, where smaller contact areas increase pressure to perform cutting or piercing tasks.
  • Remain the same
    • Pressure remains constant only if both the thrust and the area of contact are unchanged.
    • This is not applicable in the current scenario since the area of contact is increasing.
  • First increase, then decrease
    • Such behavior is not observed in the relationship between pressure, thrust, and area.
    • This option does not align with the formula P = F/A.
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