Final answer:
To solve the student's physics problem correctly, the acceleration must be converted from gravities to m/s^2, and then multiplied by the mass to find force, yielding a result of 2744 N.
Step-by-step explanation:
The student's question involves solving for force using Newton's laws of motion, specifically Newton's Second Law, which states that force is the product of mass and acceleration (F = ma). The provided equation, f=100kgx4m/s2, suggests that the mass (m) is 100 kg and the acceleration (a) is 4 m/s2. However, considering the reference information which states a = 4.00g, which equals 39.2 m/s2 when using the gravitational acceleration of 9.8 m/s2, and a mass (m) of 70.0 kg, we must correct the student's provided values.
Using the correct values, the force (F) can be calculated as:
- Convert the acceleration given in gravities to meters per second squared: a = 4.00g = (4.00)(9.80 m/s2) = 39.2 m/s2.
- Calculate the force using the corrected mass and acceleration: F = ma = (70.0 kg)(39.2 m/s2).
- Multiply the mass by the acceleration to get the force: F = 2744 N.
The end result confirms that the unit for force is Newtons (N), which is equivalent to kg·m/s2, as per Newton's Second Law.