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Atoms And Molecules

Question
CBSEENSC9006112
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A particle is thrown up vertically with a velocity of 50 m/s. What will be its velocity at the highest point of its journey? How high would the particle rise? What time would it take to reach the highest point?

Solution

According to the cartesian sign convention,
Upward velocity is taken positive, and
acceleration due to gravity is taken negative.
So,
Velocity with which the particle is thrown, u = +50 m/s
Acceleration due to gravity, g = -10 m/s2

At the highest point, v = 0. 
Using the formula,
           v = u + gt
rightwards double arrow       0 = 50 - 10 x t
rightwards double arrow        space space straight t space equals space 50 over 10 space equals space 5 space straight s 
Height space covered comma space straight s space equals space ut space plus space 1 half gt squared 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 50 space cross times space 5 space minus space 1 half cross times 10 cross times left parenthesis 5 right parenthesis squared 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 250 minus space 125 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 125 space straight m space space

 

Some More Questions From Atoms And Molecules Chapter

What are polyatomic ions? Give examples.

Write the chemical formulae of the following:

(a) Magnesium chloride
(b) Calcium oxide
(c) Copper nitrate 
(d) Aluminium chloride
(e) Calcium carbonate

Give the names of the elements in the following compounds.

(a) Quick lime
(b) Hydrogen bromide
(c) Baking powder 
(d) Potassium sulphate.

Calculate the molar mass of the following substances:

(a) Ethylene
(b) Sulphur molecule, S8
(c) Phosphorus molecule, P4
(d) Hydrochloric acid, HCl
(e) Nitric acid, HNO3.

What is the mass of:

(a) 1 mole of nitrogen atoms

(b) 4 moles of aluminium atoms

(c) 10 moles of sodium sulphite.

Convert into mole

(a) 12 gm of oxygen gas

(b) 20 gm of water

(c) 22 gm of carbon dioxide.

What is the mass of?

(a) 0.2 mole oxygen atoms.

(b) 0.5 mole of water molecules.

Calculate the number of molecules of sulphur (S8) present in 16 gm of solid sulphur.

Calculate the number of aluminium ions present in 0.56 gm of aluminium oxide.

Explain law of conservation of mass.

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