To find the total force required to cause an object with a mass of 10 kg to gain 1 meter per second every second (i.e., an acceleration of 1 m/s²), we use Newton's second law of motion:

F=m×aF=m\times aF=m×a

where

• FFF is the force in newtons (N),
• mmm is the mass in kilograms (kg),
• aaa is the acceleration in meters per second squared (m/s²).

Given:

• Mass m=10 kgm=10,\text{kg}m=10kg
• Acceleration a=1 m/s2a=1,\text{m/s}^2a=1m/s2

Calculate the force:

F=10 kg×1 m/s2=10 NF=10,\text{kg}\times 1,\text{m/s}^2=10,\text{N}F=10kg×1m/s2=10N

So, a total force of 10 newtons will cause the 10 kg object to accelerate at 1 meter per second squared