# Question: One equation involving force states that F net ma

One equation involving force states that F net = ma, where F net is in newtons, m is in kg, and a is in m⋅s−2. Another equation states that F = − kx, where F is in newtons, k is in kg⋅s−2, and x is in m.

(a) Analyze the dimensions of ma and kx to show they are equivalent.

(b) What are the dimensions of the force unit newton?

(a) Analyze the dimensions of ma and kx to show they are equivalent.

(b) What are the dimensions of the force unit newton?

**View Solution:**## Answer to relevant Questions

An equation for the period T of a planet (the time to make one orbit about the Sun) is 4π2r3/( GM ), where T is in s, r is in m, G is in m3/(kg⋅s2), and M is in kg. Show that the equation is dimensionally correct. What is the approximate distance from your eyes to a book you are reading? For any cube with edges of length s, what is the ratio of the surface area to the volume? It is useful to know when a small number is negligible. Perform the following computations. (a) 186.300 + 0.0030 (b) 186.300 − 0.0030 (c) 186.300 × 0.0030 (d) 186.300/0.0030 (e) For cases (a) and (b), what percent ...You are given these approximate measurements: (a) The radius of Earth is 6 × 106 m, (b) The length of a human body is 6 ft, (c) A cell's diameter is 10−6 m, (d) The width of the hemoglobin molecule is 3 × 10−9 m, ...Post your question