Calculate the maximum acceleration of a car that is heading up a 4º slope (one that makes an angle of 4º with the horizontal) under the following road conditions. Assume that only half the weight of the car is supported by the two drive wheels and that the coefficient of static friction is involved—that is, the tires are not allowed to slip during the acceleration. (Ignore rolling.) (a) On dry concrete. (b) On wet concrete. (c) On ice, assuming that μs = 0.100, the same as for shoes on ice.

A rock with a mass of 540 g in air is found to have an apparent mass of 342 g when submerged in water. (a) What mass of water is displaced? (b) What is the volume of the rock? (c) What is its average density? Is this consistent with the value for granite, 2.7 x 103 kg/m3?

What is sin([x] radians)?

Using a (first) piece of your blank scratch paper, determine the area of the triangle below.  

(a) How much heat transfer is necessary to raise the temperature of a 0.200-kg piece of ice from −20.0ºC to 130ºC, including the energy needed for phase changes? (b) How much time is required for each stage, assuming a constant 20.0 kJ/s rate of heat transfer? (c) Make a graph of temperature versus time for this process. Note: Ice’s specific heat is 2090 J/(kg⋅ºC) and latent heat for water at 0ºC is 334kJ/kg.

The engine of a large ship does 2.00×108 J of work with an efficiency of 5.00%. (a) How much heat transfer occurs to the environment? (b) How many barrels of fuel are consumed, if each barrel produces 6.00×109 J of heat transfer when burned?

If net income after taxes is $45,000 and net sales are $100,000, what is the return on sales (as a percentage)?

If net income after taxes are $60,000 and owners’ equity is $200,000, how much is return on owner’s equity (as a percentage)?

If net income after taxes is $50,000 and owners’ equity is $400,000, how much is return on owner’s equity (as a percentage)?

The ________ step in a promotional campaign would make use of market segmentation to determine which markets can be served profitably.