Imagine you derive the following expression by analyzing the physics of a particular system: a=gsinθ−μkgcosθ, where g=9.80meter/

Question

3 months ago

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Imagine you derive the following expression by analyzing the physics of a particular system: a=gsinθ−μkgcosθ, where g=9.80meter/

second2. Simplify the expression for a by pulling out the common factor.
a.) a = g sinθ − μk g cosθ (no simplification should be performed on the expression in this situation)

b.) a = g (sinθ−μk cosθ)

c.) a = (9.80meter/second^2)sinθ −μk (9.80 meter/second^2)cosθ

Physics

1 answer:

Sav [3.1K] · Answer 1 · 2026-03-04T02:25:46+03:00

Answer:

Explanation:

Examining the derived equation reveals

a=gsinθ−μkgcosθ

All components in this formulation are accurate, but further simplification is achievable.

We can explore additional simplification within the equation.

This makes option a incorrect, as further simplifications yield

a=g(sinθ−μkcosθ)

Option b is valid and represents the optimal choice.

Since we are provided with g=9.8m/s²

we can also input this into option a

a=9.8m/s²(sinθ−μkcosθ)

Option C also holds but is less preferred as it substitutes the gravity value directly without prior simplification.

The optimal form would be

a=9.8m/s²(sinθ−μkcosθ)

Thus, the best choice is B.

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