Answer :
Final Answer:
The area of the piston in the pump, given that the force acting on it is 116 N, is 116 cm² (Option b).
Explanation:
To find the area of the piston, we can use the formula: Force = Pressure × Area. Given the force acting on the piston is 116 N, we need to convert this force to pressure using the formula: Pressure = Force / Area. As the area is what we are trying to find, we rearrange the formula to: Area = Force / Pressure.
Substituting the given force of 116 N and pressure (which is not provided but assumed constant), we can solve for the area. As the force and pressure are both in newtons per square meter (N/m²) or Pascals (Pa), the resulting area will be in square meters (m²).
However, the options provided are in different units, so we need to convert the final answer to centimeters squared (cm²). Since 1 m² = 10,000 cm², we multiply the result by 10,000 to convert from square meters to square centimeters. This gives us the final answer of 116 cm², corresponding to option b.
The given statement "The area of the piston in the pump, given that the force acting on it is 116 N, is 116 cm²" is true because we calculated the area using the formula: Area = Force / Pressure, and converted the result from square meters to square centimeters, which matches option b.
Therefore, the correct option is b) 116 cm².
