As shown in the figure, a bullet of mass 0.010 kg moving hor…

As shown in the figure, a bullet of mass 0.010 kg moving horizontally suddenly strikes a block of wood of mass 1.5 kg that is suspended as a pendulum. The bullet lodges in the wood, and together they swing upward a vertical distance of 0.40 m. The length of the string is 2.0 m. What was the speed of the bullet just before it struck the wooden block?

3. A 12-volt battery is connected to a series circuit in whi…

3. A 12-volt battery is connected to a series circuit in which the inductance is 1/2 henry and the resistance 10 ohms. Determine the current i if the initial current is zero. Note that the differential equation that models this problem is  subject to i(0) = 0.