Answer:
Pressure = 51.8 x 10³ Pa = 51.8 KPa
Step-by-step explanation:
First, we calculate the total force exerted on the piston:
Total Force = Force Exerted by Spring + Weight of Piston
Total Force = 150 N + (mass)(g)
Total Force = 150 N + (3.2 kg)(9.8 m/s²)
Total Force = 150 N + 31.36 N
Total Force = 181.36 N
Now, for cross-sectional area of piston:
Area = (35 cm²)(1 x 10⁻⁴ m²/1 cm²)
Area = 0.0035 m²
Now, for pressure inside the cylinder:
Pressure = Total Force/Area
Pressure = 181.36 N/0.0035 m²
Pressure = 51.8 x 10³ Pa = 51.8 KPa