Final answer:
To find the area of contact for the 26 kg box exerting a pressure of 25,000 Pa, calculate the box's force using its weight and then use the pressure equation to solve for the area, resulting in 0.010192 m² or 10.192 cm².
Step-by-step explanation:
The question asks how to find the area of contact between a box and the floor given the pressure the box exerts and its weight. Pressure is defined as the force exerted per unit area, commonly expressed in pascals (Pa). The weight of the box acts as the force in this scenario. To find the area, we can rearrange the pressure equation P = F/A, where P is pressure, F is force (weight in this case), and A is area.
We need to calculate the force (the weight of the box) using the formula F = m × g, where m is the mass (26 kg) and g is the acceleration due to gravity (9.8 m/s²). The force exerted by the box is 26 kg × 9.8 m/s² = 254.8 N. With the pressure given as 25,000 Pa, we can now solve for the area A using A = F/P. Thus, A = 254.8 N / 25,000 Pa, which gives us an area of contact of 0.010192 m² or 10.192 cm².