Question

A horizontal net force F is exerted on an object at rest. The object starts at x = 0m and has a speed of 1.0 m/s after moving 8.0 m along a horizontal frictionless surface. What is the mass of the object?

A) 2.0 kg
B) 4.0 kg
C) 6.0 kg
D) 8.0 kg

Answer 1

To find the mass of the object, we can use Newton's second law and the formula F = ma. By plugging in the given values, we can calculate the mass of the object to be 8.0 kg, corresponding to option D.

Step-by-step explanation:

To find the mass of the object, we can use Newton's second law, which states that force (F) is equal to mass (m) times acceleration (a). In this case, the object is at rest initially and then reaches a speed of 1.0 m/s after moving 8.0 m. Since the surface is frictionless, we can assume that the net force is provided by the applied force. Therefore, we can use the formula F = ma to solve for the mass:

F = ma

F = m(1.0 m/s^2)

Since the force (F) is constant, we can plug in the given values to solve for the mass:

m = F/a

m = (8.0 N)/(1.0 m/s^2)

m = 8.0 kg

Therefore, the mass of the object is 8.0 kg, which corresponds to option D.