1.9.E.sagews

from sympy import *
from sympy import N as Num

# pie is better than pi
pie = 2*pi

print("\n--- User input -----------------------")

print("\n--- a: -------------------------------")

mass = 100
g = 10
mu = S(15)/100

mg = mass*g

# 45 deg:
w = cos(pie/8)

expo = mu*3/4*pi
factor = mg * w * (1-mu)
M = factor * exp(-expo)

pprint(Num(M,4))

print("\n--- b: -------------------------------")

factor = mg * w * (1+mu)
M = factor * exp(expo)

pprint(Num(M,4))

print("\n--- c: -------------------------------")

--- User input ----------------------- --- a: ------------------------------- 422.1 --- b: ------------------------------- 1158. --- c: -------------------------------