Determine whether or not each of the following equations is dimensionally homogeneous. show your work.
a) f=ma
b) f=m(v^2/r)
c) f(t_2-t_1)=m(v_2-v_1)
d) f=mv

a and b are dimensionally homogenous but c and d aren't.

Force = N (newtons) = kg * m/s^2

Therefore,

a) F = m* a = kg m/s^2 (since m (mass) = kg and a (acceleration)= m/s^2) = kg m/s^2

b) F = m*(v^(2)/r)= kg * ((m/s)^(2)/m) = kg m/s^2 = kg m/s^2

c) F = m * (v2-v1)= kg * (m/s - m/s) = kg m/s  ≠ kg m/s^2

d) F= m * v = kg * m/s ≠ kg m/s^2

Hope this helps

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: