Final answer:
The pressure exerted on the ground by a 500-kg box that has a width of 5 m and a length of 10 m is 98 N/m².
Step-by-step explanation:
The pressure exerted on the ground by a box can be calculated using the formula:
Pressure = Force/Area
First, we need to calculate the force exerted by the box. The force can be found using the formula:
Force = mass × acceleration due to gravity
Given that the mass of the box is 500 kg and the acceleration due to gravity is 9.8 m/s², the force exerted by the box is 500 kg × 9.8 m/s² = 4900 N.
The area on which the force is exerted is equal to the length multiplied by the width:
Area = length × width
Given that the length of the box is 10 m and the width is 5 m, the area is 10 m × 5 m = 50 m².
Putting it all together, the pressure exerted on the ground by the box is:
Pressure = 4900 N / 50 m² = 98 N/m².