Aspacecraft is fueled using hydrazine (n2h4; molecular weight of 32 grams per mole [g/mol]) and carries 1640 kilograms [kg] of fuel. on a mission to orbit a planet, the fuel will first be warmed from −186 degrees fahrenheit [°f] to 78 degrees fahrenheit [°f] before being used after the long space flight to reach the planet. the specific heat capacity of hydrazine is 0.099 kilojoules per mole kelvin [kj/(mol k)]. if there is 300 watts [w] of power available to heat the fuel, how long will the heating process take in units of hours [h]?

Atank has a shape of a cone with a radius at the top of 2 m and a height of 5 m. the tank also has a 1 m spout at the top of the tank. the tank is filled with water up to a height of 2 m. find the work needed to pump all the water out the top of the spout. (use 9.8 m/s2 for g and the fact that the density of water is 1000 kg/m3.)

The heater element of a 120 v toaster is a 5.4 m length of nichrome wire, whose diameter is 0.48 mm. the resistivity of nichrome at the operating temperature of the toaster is 1.3 × 10-6 ω·m. the toaster is operated at a voltage of 120 v. (a) what is the power drawn by the toaster? (b) if the cost of electricity is 12 ¢ per kilowatt-hour, and it takes 2 minutes to toast bread, how much does it cost for toasted bread? (c) when the heater element is at room temperature, is the resistivity in the nichrome wire greater than, less than, or equal to it’s resistivity when at operating temperature? explain.

Roger pushes a box on a 30° incline. if he applies a force of 60 newtons parallel to the incline and displaces the box 10 meters along the incline, how much work will he do on the box? a. 5.2 × 102 joules b. 6.0 × 102 joules c. -5.2 × 102 joules d. -6.0 × 102 joules