n a lab investigation, one group of students (group A) measures the speed of a 0.1-kilogram car at 2.5 m/sec at the bottom of a hill. Another group of students (group B) measures the speed of the car at 3 m/sec at the bottom of the hill. The car’s starting position at the top of the hill is one-meter high. The energy of an object can be converted to heat due to the friction of the car on the hill. The difference between the potential energy of the car and its kinetic energy at the bottom of the hill equals the energy lost due to friction. How much energy is lost due to heat for group A’s car?

the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom.  What is the approximate density, in kilograms per cubic meter, of a nucleus?

8.36 grams of a mystery substance of food with a molar mass of 149.36 g/mol is burned in a bomb calorimeter. The water in the bomb calorimeter absorbs 105,961 Joules from the burning of the substance. Calculate the heat of combustion of the mystery substance in kJ/mol. (Please input your answer as a negative number.) (DO NOT PUT UNITS IN YOUR ANSWER.) Assume that all of the heat lost by the substance is transferred to the water and no heat is lost to the surroundings.

Small animals eat much more food per kilogram of body mass than do larger animals. The basal metabolic rate (BMR) is the minimal energy intake necessary to sustain life in a state of complete inactivity. The table lists the BMR in kilocalories per day, the mass, and the surface area for 4 animals. What is the BMR per square meter of the surface area for the mouse?

The total surface area of the United States is 9.6 x 106 km². Seventy-four percent of this land can support spiders. Given that there are approximately 5.0 × 104 spiders per acre, how many spiders are there in the Uni d States? Recall that 1 acre = 0.004 km2. Number i 8.75 *10^13 Units sniders

The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes:     Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass:   g What is the value, in dollars, of the same stack of dimes? value:   dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks:

An object has mass m, surface area A, temperature T, N molecules, and specific heat capacity c. The total thermal energy stored in the object is: Group of answer choices proportional to T^4 proportional to AT proportional to m proportional to cT proportional to NT

A tourist purchases a car in England and ships it home to the United States. The car sticker advertised that the car's fuel consumption was at the rate of 40 miles per gallon on the open road. The tourist does not realize that the U.K. gallon differs from the U.S. gallon: 1 U.K. gallon = 4.545 963 1 liters1 U.S. gallon = 3.785 306 0 liters For a trip of 731 miles (in the United States), how many gallons of fuel does (a) the mistaken tourist believe she needs and (b) the car actually require?

A hot tub with a surface area of 28 ft2 is filled with water to a depth of 29 in . Hint: volume is calculated as area × height (A × h). A) What is the volume of water in the tub, in liters? Express your answer to two significant figures and include the appropriate units. B) How many kilojoules are needed to heat the water from 59∘F to 103 ∘F? Express your answer to two significant figures and include the appropriate units. C) If the hot-tub heater provides 5900 kJ/min, how long, in hours, will it take to heat the water in the hot tub from 59∘F to 103∘F? Express your answer to two significant figures and include the appropriate units.