straight application of a linear function.
let E = mL + k, where E is the force, and l is the load, and k is the constant
given :
when L = 20, E = 14
20m + k = 14
when L = 30, E = 20
30m + k = 20
subtract them:
10m = 6
m = 6/10 = .6
back into 20m + k = 14
12 + k = 14
k = 2
so we have: E = .6L + 2 <------- a)
for b), replace the given L
The force E needed to make a machine pull a load is partly constant and partly varies as the load L to be pulled.For a load of 20kg the force needed is 14N while 20N is needed for a load of 30kg find: a)The formula connecting E and L. b)E when L=50kg
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