Recent content by JJBrian

Homework Statement Find a particular solution of the given differential equation. y'' + 4y = (sin^2)(x) Answer from book: yp(x)= (1/8)(1-xsin2x) The Attempt at a Solution y'' + 4y = 4(sinx)^2....(1) 4(sinx)^2=2 - 2cos2x Homogeneous solution: r^2+4=0 r^2= -4 r=+-2i ==>...

Four resistors are connected to a battery as shown in the figure. The current in the battery is I, the battery emf is emf, and the resistor values are R1 = R, R2 = 2R, R3 = 4R, and R4 = 3R. Picture: http://www.webassign.net/serpop/p21-32.gif (a) Rank the resistors according to the...

Homework Statement apparent mass of the metal weight in air = 100g apparent mass of the metal weight in water = 75g a)Compute the buoyancy force. From this, compute the volume of the metal. Compute the density of the metal. The density of aluminum is 2.7 g/cm3, of iron is 7.9 g/cm3, and of...

I need help with part b)

For part b) I thought the kinetic energy of the object would be converted to the energy stored of the spring. Would the energy stored in the spring be 1.66153J? E before = E after 1/2mv^2 = 1/2mv^2 + 1/2kx^2 1.8J = 0.1384 + 1.66153

Updated work part a) (m1+m2)vf = m1v1 + m2v2 (0.1kg + 1.2kg)*vf = (0.1kg)(6m/s)+(1.2kg)(0m/s) Vf = 0.6/1.3 = 0.4615m/sFor part b) Do I just use KE =1/2mv^2 1/2(.1kg)(6m/s)^2 KE = 1.8Jpart c) KE before collision = KE after collision + spring energy 0 +1/2mv^2 = 1/2mv^2 + 1/2kx^2...

I don't see how the answer of a is d. I thought part a is an elastic collision while part d is an perfectly inelastic collision. According to the formula used in part and d, they are both equal. Can some explain this to me? I have a hard time visualizing this... Some for part a) (0.1kg +...

1. Homework Statement A 0.1kg is shot with a speed of 6m/s toward a 1.2kg spring gun( with spring constant of 0.4N/m). The spring gun is initially at rest with its spring relaxed. The spring gun is free to slide without friction on a horizontal table. The 0.1 kg mass compresses the spring to...

I changed part a. I think B and C are wrong. I don't know how to approach B and C. I need some ideas, like the eq to use.

1. Homework Statement A 0.1kg is shot with a speed of 6m/s toward a 1.2kg spring gun( with spring constant of 0.4N/m). The spring gun is initially at rest with its spring relaxed. The spring gun is free to slide without friction on a horizontal table. The 0.1 kg mass compresses the spring to...

Homework Statement 1. A block is 7 cm wide, 8 cm long, and 2 cm tall and has a mass of 67 g. a) What is its volume? b) What is its density? c) Floating in water (with the 7x8 face down), how deep will the bottom be (what is x in figure 2)? d) How much extra weight can it support without...

Homework Statement A 0.1kg is shot with a speed of 6m/s toward a 1.2kg spring gun( with spring constant of 0.4N/m). The spring gun is initially at rest with its spring relaxed. The spring gun is free to slide without friction on a horizontal table. The 0.1 kg mass compresses the spring to...

Attempt ... I think my approach is totally wrong I started with part c first... I think the question should be answer in order. The problem is I don't know how to approach question a with the given variables. a) Ws = (1/2)kx^2max Ws = (0.4N/m)(3m)^2 Ws = 1.8J Ws = 1/2mvf^2-1/2mvi^2 vf=sqrt(vi^2...

Homework Statement A 0.1kg is shot with a speed of 6m/s toward a 1.2kg spring gun( with spring constant of 0.4N/m). The spring gun is initially at rest with its spring relaxed. The spring gun is free to slide without friction on a horizontal table. The 0.1 kg mass compresses the spring to its...

Homework Statement 1. A 0.5 kg mass extends a spring 1 cm. What is the frequency of oscillation of this mass and spring? 2. A 1 m stick is used as a simple pendulum with a 3 kg weight on the end. What is its period of oscillation? 3. The same meter stick is used as a rigid pendulum with no...