math

The weight W that a horizontal beam can support varies inversely as the length L of the beam. Suppose that a 4-m beam can support 1000 kg. How many kilograms can a 17-m beamâ€‹ support?

1. 👍
2. 👎
3. 👁
1. W = k(1/L)
given: if L = 4m, W = 1000 kg
1000 = k(1/4)
k = 4000

so : W = 4000/L
if L = 17
W = 4000/17 = appr 235.29 kg

or

by ratio:
W1/W2 = L2/L1
1000/W2 = 17/4
17W2 = 4000
W2 = 4000/17 = 235.29 , as before

1. 👍
2. 👎

Similar Questions

1. variation

Can you please check my answers? Thanxs! Write an equation that expresses the relationship. Use k as the constant of variation. 20. f varies jointly as b and the square of c. -I got: f=kbc^2 22. r varies jointly as the square of s

2. Math: Calculus

The max. weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h, and inversely proportional to its length L. a) write an equation that expresses the proportionality. b)

3. Mathematics

Suppose that the maximum weight that a certain type of rectangular beam can support varies inversely as its length and jointly as its width and the square of its height. Suppose also that a beam 4 inches wide, 3 inches high, and

4. physics

A 3.0 m long rigid beam with a mass of 100 kg is supported at each end. An 60 kg student stands 2.0 m from support 1. How much upward force does each support exert on the beam? support 1- support 2-

1. Physics Really need help!!!

A 3.0-m-long rigid beam with a mass 130 kg is supported at each end. An 90 kg student stands 2.0 m from support 1. How much upward force does support 1 exert on the beam? How much upward force does support 2 exert on the beam?

2. Algebra

The maximum load a beam will support varies directly with the square of the diagonal of the beam's cross section.A beam with diagonal 6 inch will support a maximum load of 108 pounds. What load will a beam with a 10 inch diagonal

3. Algebra

Suppose that the maximum weight that a certain type of rectangular beam can support varies inversely as its length and jointly as its width and the square of its height. Suppose also that a beam 6 inches wide, 2 inches high, and

4. algebra

the maximum load, v, that can be safely supported by horizontal beam varies jointly with the width of the beam ,w, and the square of its depth ,x, and inversely with the length of the beam ,a, write an equation for the constant of

1. Math

The maximum weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h, and inversely proportional to its length L. a. Write an equation that expresses this prportionality b.

2. algebra

The strength of a wood beam varies inversely with its length. A beam is 33 feet long can support 1200 pounds. How much weight can a similar beam support if it is 23 feet long?

3. Math

The strength S of a rectangular beam varies jointly as its width w and the square of its thickness t. If a wood beam 3 inches wide and 5 inches thick supports 300 pounds, how much can a similar beam 3 inches wide and 8 inches

4. Inverse Variation

Help me please.. Explain also :( 1. E is inversely proportional to Z and Z = 4 when E = 6. 2. P varies inversely as Q and Q = 2/3 when P = 1/2. 3.R is inversely proportional to the square of I and I = 25 when R = 100. 4. F varies