1

ΣF = ma = mdvdt = md²rdt²ΣF = 0 ⇒ a = 01 N = 1 kg·m/s²

2

F₂₁ = −F₁₂a₁ = Fm₁,  a₂ = Fm₂

3

F = −mgĵ = ma ⇒ a = gg ≈ 9.8 m/s²t = 2h/g

4

N + mg = 0 ⇒ N = mgN′ − N + Mg = 0 ⇒ N′ = (m + M)g

5

a = g sin θN = mg cos θt = 2d/g sin θv = 2gd sin θ

6

m₁a = T − m₁gm₂a = m₂g − Ta = m₂ − m₁m₁ + m₂gT = 2m₁m₂m₁ + m₂g

7

ma = mg − T,  Ma = Ta = mM + mgT = MmM + mg

8

F_app − F_AB = m_Aa,  F_BA = m_Baa = F_appm_A + m_BF_AB = F_BA = m_Bm_A + m_BF_app

9

ma = N − mgN = m(g + a)

10

f_s ≤ f_s,max = μ_sNf_k = μ_kNa = (μ_s − μ_k)gμ_s = tan θ₀

11

D = (1/2)CρAv²ma = mg − (1/2)CρAv²v_t = 2mg/CρA

12

F = mv²r: μ_s = v²rg: tan θ = v²gr