Find the center of mass (in cm) of a one-meter long rod, made of 50 cm of brass (density 8.44 g/cm3) and 50 cm of lead (density 11.3 g/cm3). (Assume the origin is at the midpoint of the rod, with the positive direction towards the part of the rod made of lead. Indicate the direction with the sign of your answer.)

10 newton object is placed 3 meters from the fulcrum. at what distance on the other side would you need to place a 15 newton object to balance the lever? show your work!

1. jay fills a wagon with sand (about 20 kg) and pulls it with a rope 30 m along the beach. he holds the rope 25° above the horizontal. the rope exerts a 20-n tension force on the wagon. how much work does the rope do on the wagon?

You have a resistor and a capacitor of unknown values. first, you charge the capacitor and discharge it through the resistor. by monitoring the capacitor voltage on an oscilloscope, you see that the voltage decays to half its initial value in 2.70 miss . you then use the resistor and capacitor to make a low-pass filter. what is the crossover frequency fc?