Find the effective spring constant of the pair of springs as a system. We descri

Question

Find the effective spring constant of the pair of springs as a system. We describe these springs as in series. A force F = (5xi+ 4yJ), where F is in newtons and x and y are in meters, acts on an object as the object moves in the x direction from the origin to x = 5.08 m. Find the work W = done by the force on the object. A 75-g bullet is fired from a rifle having a barrel 0.654 m long. Choose the origin to be at the location where the bullet begins to move. Then the force (in newtons) exerted by the expanding gas on the bullet is 14100 + 10100x - 24500x2, where x is in meters. Determine the work done by the gas on the bullet as the bullet travels the length of the barrel. (b) If the barrel is 1.02 m long, how much work is done?

Explanation / Answer

2) w = intrgra l (F .dr) do intrgra l5x dx = x^25/2 in the limits 0 t0 5.08 so w= 322.58 3)W=integral of F.dx so on substituting the values W= 14100x+10100X^2/2-24500x^3/3 in the limits 0 to .654 so = 9096.9

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