Question

An object of mass 10 kg is released from rest above the surface of a planet such that the object’s speed as a function of time is shown by the graph above. The force due to gravity exerted on the object is most nearly

Answer 1

The force due to gravity on a 10 kg object is its weight, calculated using the formula w = mg, which is approximately 100 N when g is simplified to 10 m/s².

Step-by-step explanation:

The force due to gravity that is exerted on an object of mass 10 kg is equal to the object's weight, which can be calculated by the formula w = mg, where m is the mass and g is the acceleration due to gravity. In this case, the mass m is 10 kg. Using the average acceleration due to gravity on Earth, which is 9.80 m/s², the weight of the object, and thus the gravitational force exerted on it, would be:

w = (10 kg)(9.80 m/s²) = 98 N.

However, if we approximate g to 10 m/s² for simplicity, the force would be calculated as:

w = (10 kg)(10 m/s²) = 100 N.

This approximation is commonly used for ease of calculation, and it yields a force nearly equal to 100 Newtons, which in this context can be considered sufficiently accurate for most practical educational purposes.