Final answer:
To solve for force (F) using Newton's Second Law, we use the given mass (70.0 kg) and calculated acceleration (39.2 m/s²) to find F = ma, yielding a force of 2744 N.
Step-by-step explanation:
In this problem, we are asked to solve for force (F) using Newton's laws of motion. Given the information, we are dealing with an instance where the acceleration (a) is equal to 4.00 times the gravitational acceleration (g), where g is 9.80 m/s². Thus, a = 4.00g = (4.00)(9.80 m/s²) = 39.2 m/s². We are also given the mass (m) of the object, which is 70.0 kg. To find the force (F), we apply Newton's Second Law, which states that F = ma, where m is mass and a is acceleration.
By substituting the given values into the equation, we get F = (70.0 kg)(39.2 m/s²). This calculation leads us to the result that F = 2744 N. The result is expressed in newtons (N), as it is the standard unit of force in the International System of Units (SI), matching the definition of Newtons as mass in kg times acceleration in m/s².