Respuesta :
If you take the weight and divide it by the length, you get the weight-per-meter. So, 40(kg) divided by 5(meters) gives you 8 kilograms per meter. Then to find the weight of the shorter bar, you'd multiply it's length by the number you just found. In conclusion, the shorter bar weighs 24kg.
Answer:
24 kg
Step-by-step explanation:
The mass of the unknown bar is represented by the variable w.
We can use a proportion for this problem. We will compare the mass of each bar to its length. The first bar has a mass of 40 kg and a length of 5 m; this gives us the ratio
40/5.
The second bar has an unknown mass and a length of 3 m; this gives us the ratio
w/3
This gives us the proportion
40/5 = w/3
To solve, cross multiply:
40(3) = w(5)
120 = 5w
Divide both sides by 5:
120/5 = 5w/5
24 = w
The second bar has a mass of 24 kg.
