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Is Matter Around Us Pure

Question
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Calculate the force required to impart to a car a velocity of 30 m/s in 10 s. The mass of the car is 1500 kg.

Solution
space Here comma space

Initial space velocity space of space the space car comma space straight u space equals space 0

F i n a l space v e l o c i t y comma space straight v space equals space 30 space straight m divided by straight s

Time space taken comma space straight t space equals space 10 space straight s
therefore space A c c e l e r a t i o n comma space straight a space equals space fraction numerator straight v minus straight u over denominator straight t end fraction space equals space fraction numerator 30 minus 0 over denominator 10 end fraction space equals 3 space straight m divided by straight s squared
Now comma
Mass space of space the space car comma space straight m space equals space 1500 space kg

A c c e l e r a t i o n comma space straight a space equals space 3 space straight m divided by straight s squared

therefore space space space Required space force comma space straight F space equals space ma

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1500 space cross times space 3 straight N space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 4500 space straight N. space space space space space space space space space

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Pragya tested the solubility of three different substances at different temperatures and collected the data as given below (results are given in the following table, as grams of substance dissolved in 100 grams of water to form a saturated solution).

Substance Dissolved

Temperature in K

283

293

313

333

353

Potassium nitrate

21

32

62

106

107

Sodium chloride

36

36

36

37

37

Potassium chloride

35

35

40

46

54

Ammonium chloride

24

37

41

55

66



What mass of potassium nitrate would be needed to produce a saturated solution of potassium nitrate in 50 grams of water at 313 K?