This question concerns the conversion between the SI and the English units. $($Note: you will

need to look up some conversion factors and the density of water.$)$

a$)$ What is the weight of $24\mathrm{.}3$ US pints of water at $95F?$ The SI unit of weight is Newton $($N$).$

$(6$ marks$)$

b$)$ The fuel efficiency of a car is often shown in miles per gallon $($MPG$).$ It means the number

miles your car can travel for each US gallon of fuel consumed. Your car has a fuel efficiency of

$40$ MPG$.$ The size of the fuel tank of the car is $50\mathrm{.}0$ litres and it is $30\mathrm{.}0\%$ full. Do you think you

can go to a place $200km$ away? Support you answer with appropriate calculations.

$(6$ marks$)$

c$)$ The power of your car is labeled as $100$ brake horsepower $($bhp$)$ and it weighs $4000$ pounds

$($lbs$).$ Assuming all the power goes to the kinetic energy of your car when the car accelerates,

calculate how much time it needs for the car to accelerate from $0$ to $70\mathrm{.}0$ miles per hour $($mph$).$

$(6$ marks$)$