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Is Matter Around Us Pure

Question
CBSEENSC9005864

A bullet of mass 10 g travelling horizontally with a velocity of 150 ms–1 strikes a stationary wooden block and comes to at rest in 0.03 s. Calculate the distance of penetration of the bullet into the block. Also calculate the magnitude of the force exerted by the wooden block on the bullet.

Solution

Here,
Mass of the bullet, m = 10 g = 0.01kg
Velocity with which the bullet is fired, u = 150 ms-1,
Final velocity, v = 0 m/s
Time taken for the bullet to strike the object, t = 0.03 s 
Now, using the formula,
        straight a space equals space fraction numerator straight v minus straight u over denominator straight t end fraction space equals space fraction numerator 0 minus 150 over denominator 0.03 end fraction space equals space minus 5 comma 000 space m s to the power of negative 2 end exponent 
Acceleration is negative. 
The distance of penetration of the bullet into the block is given by the second equation of motion, 

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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?

Pragya makes a saturated solution of potassium chloride in water at 353 K and leaves the solution to cool at room temperature. What would she observe as the solution cools? Explain.

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



Find the solubility of each salt at 293 K. Which salt has the highest solubility at this temperature?

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