A space station has a large ring-like component that rotates to simulategravity for the crew. This ring has a massM= 2.1×105kg and a radiusofR= 86.0 m and can be modeled as a thin hoop. Before spinning upthe ring section, crew members Dave and Frank dock their ships, eachwith massm= 3.5×104kg on two docking ports located on oppositesides of the center of the ring. The docking ports are locatedr= 31.0 mfrom the center of the ring. When the station’s computer begins to spinup the ring it has to spin both the ring and the ships. The ships canbe treated as point particles. Two identical thrusters on the edge of thering are used to spin up the ring with a constant angular acceleration. The ring-ship system takes 3 hours to reach the angular speed at which it simulates Earth’s gravity forthe crew on the edge of the ring. What constant force must each of the two thrusters apply to reach thisrotational speed?

Aquantity of gas has a volume of 1.5 m3 and an absolute pressure of 95 kpa. when the gas is compressed to a volume of 0.5 m3, what is the new absolute pressure of the gas? (assume that there’s no change in temperature.)

For problems 1-3, consider a simple dc brush motor with a permanent magnet stator. with an an consider a simple dc brush motor with a permanent magnet ae supply voltage of 100 v, the no-load speed of the motor is 1000 rpm. this motor can provide a torque of 1.9 n-m at 800 rpm drawing a current of 2 a current are both zero at no load.) 1. with an armature supply voltage of 100 v, the motor is operated at 900 rpm. what is the motor torque? what is the mechanical power delivered by the motor? what is the current draw? what is the electrical power input? what is the energy efficiency of the motor? with an armature supply voltage of 100 v, the motor is operated at 1100 rpm (where it acts as a generator). what torque input is required? what mechanical power is required what current is generated? what is the electrical power generated? what is the energy efficiency of the motor acting as a generator? 2. with an armature supply voltage raised to 120 v, the motor is operated at 1000 rpm. what is the no-load speed? what is the motor torque? what is the mechanical power delivered by the motor? what is the current draw? what is the electrical power input what is the energy efficiency of the motor? 3.

Herbivores, carnivores, and omnivores are all types a. decomposers b. producers c. consumers d. biomes