Question

A boulder of mass 100 kg is pulled in some direction with a net force whose components are Fₙₑₜ,ₓ = 100 N, Fₙₑₜ,ᵧ = 200 N. A. Find the x-component of the resulting acceleration. Express your answer in m/s?.

Find the y-component of the resulting acceleration. Express your answer in m/s²?

Answer 1

The x-component of the resulting acceleration when a boulder of mass 100 kg is pulled with a net force of 100 N is 1 m/s², and the y-component of the resulting acceleration with a net force of 200 N is 2 m/s².

Step-by-step explanation:

To find the x-component of the resulting acceleration, we need to use Newton's second law of motion, which states that the force applied to an object equals its mass times its acceleration (F = ma). Since we have both the force and the mass, we can solve for acceleration as follows:

For the x-component: aₓ = Fₙₑₜ,ₓ / m = 100 N / 100 kg = 1 m/s²

Similarly, for the y-component of acceleration, we apply the same principle:

For the y-component: aᵧ = Fₙₑₜ,ᵧ / m = 200 N / 100 kg = 2 m/s²