50 POINT QUESTION! A proton is located at <0,0, -4.2E-9> m and an alphas particle is located at <3.9E-9, 0, 2.5E-9> m. Calculate the force the proton exerts on the alphas particle. Calculate the force the alpha particle exerts on the proton. Q1=3.2E-19, Q2=1.6E-19 and Constant = 9E9.

Given the position vector of the particle r(t)=(t+1)i+(t^2−1)j+2t k, find the particle's velocity and acceleration vectors at t=1

Determine the change in width a, height b, thickness t when a plate is subjected to the uniform distributed load and is made of material having modulus of elasticity e=230 gpa and poisson's ratio ν=1/3. given : a=400 mm and b= 300 mm also the uniformly distributed load in downward y direction of plate is 2 mn/m and in the positive x direction is 3 mn/m and t=20 mm

Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k