If the lcm of two numbers a and b is 40 what is the lcm of 7 a^2 and 7b^2

11,200

Step-by-step explanation:

Given that the lcm of a and b  is 40 then a and b are factors of 40. All the multiples of 40 as sets are 1 and 40, 2 and 20, 4 and 10, 5 and 8. Of all these, only 5 and 8 would give a lcm of 40.

Let a = 5 and b = 8 as such,

7 a^2 = 7 * 5^2 = 175

7b^2 = 7 * 8^2 = 448

Then the lcm of 7 a^2 and 7b^2

= 11,200

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²