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21. $1 \mathrm{~km} \mathrm{~h}^{-1}= $ $\mathrm{m} \mathrm{s}^{-1}$ (1) $\frac{50}{3}$ (2) $\frac{5}{18}$ (3) $\frac{18}{5}$ (4) $\frac{5}{8}$

21 talks about the conversion of one km par are into the meter/s. So we have one km for our this can be written as one km. There are, so we have to convert this in meters per second. So we know that one kilometer has 1000 m and one are has 3600 seconds. So that's going to be 1000 over 3600. And if you simplify this, these two zeros get cancer. So we left for 10/36 The common devices would be to sit around 5, 10 and two times 15 is 36. So the final answer would be five or 18, and the units are And the universe meter per second. So one km Farrar is going to be 5/18 m/s. So the correct option would be option too.

This problem is about the Table two and the Mercury Earth ratio planetary volume. So this is a space of a detail question, and the correct answer is just looking. Just we We just have to look at the volume on Table two and look at the Mercury Slash Earth racial column. We see if the correct answer is Deke, that's all we have to do.

So never work on Problem fifty eight from Chapter one. This problem here assessed. Convert. Ah, several units carry out some really conversions. So has going to start with parquet where were asked, convert a value and inches two millimeters, so the value that were given has zero point one zero five inches. So right away we can convert from inches to centimeters by multiplying by two point five four and then we can convert from centimeters two millimeters by multiplying by ten, because senti is ten to the minus two and Milly is ten to the minus three, so there's only a factor of one between them. So the value that we get here when we do our multiplication, you can see first, the inches will cancel and centimetres will cancel in the value that we get is two point six seven millimetres. The second conversion were asked to do is from miles two meters in the value that were given a zero point zero five five zero miles. And so first we can convert defeat by multiplying by fifty to eighty than two inches by multiplying by twelve, then two centimeters by multiplying by two point five four and then finally two meters by dividing by one hundred. So Miles cancels feet, cancel inches, cancel centimeters cancel and the value that we get an idiot point five meters. What in part C, whereas convert micro meters per second, two kilometers per hour, so value that were given his eight point seven five Micra meters per second. So first let's comfort micro meters, two kilometers and first we can convert from micro meters two meters by dividing by ten to the sixth and then two kilometers bye dividing by ten to the three or one thousand. We could combine these first two steps here by simply putting dividing by ten to the nine. Then we converse seconds to hours, sixty seconds for every one minute and then sixty minutes for every one hour. We can go ahead and cancel micro meters, micro meters, meters, meters, kilometers. Sorry we don't cancel Kilometers Colome Er's is our final distance unit. We can come to Seoul seconds and it's that and the value that we get is three point one five times ten to the negative five kilometers. Hurry now. So for part D, whereas to convert from meters cube two yards Cube. So here do our similar conversion. We just remembered a cube, all of our multipliers. So one point nine nine five five we can convert this two centimeters by multiplying by hundred huge. That's equal to one meter. Cute and two inches where dividing by two point five four again end cute then too feet by, dividing by one twelve inches cute and then finally two yards by dividing by three feet cubed since there are three feet and one yard. And when we do this here we get seven point six seven one yards, cute for Part IV, whereas to convert dollars per pound, two dollars per kilogram. So here we have three point nine nine dollars per pound. So we simply need to convert between pounds and kilograms here so we can put one pound. It's equal to zero point four five three six Mr number here to your point four five three six kilograms. And when we do this multiplication, we get eight point eight zero dollars for a kilogram and then four part F. We're asked to convert from pounds cubic feet, two pounds, two grams per Miller leader. So they were given his eight point seven five pounds. Perfect you. So first we can convert from pounds to kilograms with same unit. We just used zero point four five three six kilograms is the same as one pound and now we can convert acute milliliters first. Excuse me. We're not converting two kilograms. We're converting two grams so a thousand grams is equal to one kilogram. Then we can convert feet cubed two middle leaders by first Khoumba converting to toe inches So one feet cubed is twelve inches cute and then we convert to centimeters. One inch cubed is equal to two point five four centimeters cubed. Then we recognise that one centimeter cute is the same as one ml. So we can cancel pounds pounds, kilograms, kilograms Be cute and she's cute Centimetres Cube And we're left with units of Gramps, Perma leader. And we do be calculation to get zero What? One four zero grams her and no

The the value of the value uh escape velocity, The value of escape velocity on the surface of on the surface of uh is equal to is equal to seven miles. What a second. So often food. So option food is. Got it answered. So option for each correct answer for this problem. I hope you understand the solution.