Question

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

Answer 1

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

Answer 2

Pls the correct answer