Final answer:
The acceleration of a 10-kg object in free fall, feeling a force of 98 N, is 9.8 m/s². This is the standard acceleration due to gravity on Earth.
Step-by-step explanation:
When a 10-kg object is in free fall, it feels a force of 98 N. The acceleration can be found using Newton's second law of motion, which states that the force (F) acting on an object is equal to the mass (m) of the object multiplied by its acceleration (a). This can be written as F = ma.
Given that the force F is 98 N and the mass m is 10 kg, we can rearrange the formula to find the acceleration: a = F / m. To find the acceleration of the object, we divide the force by the mass, which gives us an acceleration of a = 98 N / 10 kg = 9.8 m/s².
This acceleration is equal to the acceleration due to gravity (g), which is 9.80 m/s² on Earth. Therefore, the acceleration of the object in free fall is 9.8 m/s².