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Matter In Our Surroundings

Question
CBSEENSC9006327
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A boy pulls a toy with a force of 50 N through a string which makes an angle of 30° with the horizontal so as to move the toy by a distance of 1 m horizontally. If the string were inclined making an angle of 45° with the horizontal, how much pull would he apply along the string in order to move it the same distance of 1 m?

Solution
bold italic C bold italic a bold italic s bold italic e bold space bold 1 colon F o r c e comma space straight F space equals space 50 space straight N Angle space straight b divided by straight w space force space and space displacement comma space straight theta space equals space 30 degree D i s t a n c e space m o v e d comma space straight s space equals space 1 space straight m therefore W o r k space d o n e space i s space g i v e n space b y comma space space space space space space straight W space equals space F s space c o s space straight theta space space space space space space space space space space space equals space 50 space cross times space 1 space cross times space c o s space 30 degree space space space space space space space space space space equals space 50 space cross times space 1 space cross times space fraction numerator square root of 3 over denominator 2 end fraction space space space space space space space space space equals space 25 square root of 3 space straight J bold italic C bold italic a bold italic s bold italic e bold space bold 2 colon W o r k space d o n e comma space straight W space equals space 25 square root of 3 space straight J Angle space between space straight F space and space straight S comma space straight theta space equals space 45 degree D i s t a n c e space m o v e d comma space space straight s space equals space 1 space straight m R e q u i r e d space p u l l comma space straight F space equals space fraction numerator straight W over denominator straight s space c o s space straight theta end fraction 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 fraction numerator 25 square root of 3 over denominator 1 space cross times space c o s space 45 degree end fraction 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 fraction numerator 25 square root of 3 over denominator 1 end fraction cross times fraction numerator square root of 2 over denominator 1 end fraction 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 almost equal to space 61 space straight N. space A n s. space space space space space space space space

Some More Questions From Matter In Our Surroundings Chapter

Give reason for the following observations.

Naphthalene balls disappear with time without leaving any solid.

Give reason for the following observations.

We can get the smell of perfume sitting several metres away.

What is the physical state of water at

a) 25°C
b)00C
c)1000C

What is the physical state of water at
0°C

What is the physical state of water at
100°C

Give two reasons to justify
Water at room temperature is a liquid.

Give two reasons to justify
An iron almirah is a solid at room temperature.

Why is ice at 273K more effective in cooling than water at the same temperature ?

What produces more severe burns, boiling water or steam ?

8. Name A, B, C, D, E and F in the following diagram showing state change :

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