Question

$\huge\bf\pink{ Question \: \: }$

$1$In a survey of a market ,143 people use white tooth paste and 135 use red tooth paste if 70 people use both tooth paste find the number of people who use at least one type of tooth paste

$2$
A machine gun bullet of mass m leaves the barrel at a speed of 100 ms-1 and has a kinetic energy of 100 J. What is mass of the bullet ?

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Answer 1

Answer:

1. 108 people use atleast one type of toothpaste.

2. This answer is in the attachment

Answer 2

ㅤㅤㅤㅤㅤㅤㅤ$\huge\mathfrak{question \: 1}$

$\huge\bf\red{GIVEN}$

• 143 people's use white toothpaste.
• 135 people's use red toothpaste.
• 70 people's uses both toothpaste.

$\huge\bf\green{FIND \: OUT}$

• Number of people's who uses atleast one type of toothpaste.

$\huge\bf\pink{SOLUTION}$

$\small\tt \green{ Number \: of \: people's \: use} \\ \small\tt\green{atleast \: one \: type \: of \: toothpaste}</p><p>\\ \: \\ = > \small \sf\: \red{Toothpaste_{ \: red}} \: + \small \sf\: \blue{Toothpaste_{ \: white}} \: - \: \small \sf\: \red{Toothpaste_{ \: both}}$

$\small\tt \green{ Number \: of \: people's \: use} \\ \small\tt\green{atleast \: one \: type \: of \: toothpaste == } \\ \\ = > \small\mathfrak\red{143 + 135 - 70} \\ = > \small\mathfrak\blue{278 - 70} \\ = > \small \mathfrak\green{270...answer}$

ㅤㅤㅤㅤㅤㅤㅤ$\huge \mathfrak{question \: 2}$

$\huge\bf\red{GIVEN}$

• Speed of barrel 100m^(-1)
• Kinetic energy produced by 100J

$\huge\bf\green{FIND \: OUT}$

• Mass of bullet

$\huge\bf{Formula \: used}$

$\huge\mathfrak\red{\frac{1}{2}m( {v}^{2} - {u}^{2} )}$

$\huge\bf\pink{SOLUTION}$

$\small\bf\red{KE \: \: = \frac{1}{2}m( {v}^{2} - {u}^{2} ) } \\ \small\bf\red{100 \: \: = \frac{1}{2} \times m \times ( {100}^{2} - {0}^{2} ) } \\ \small\bf\red{2 \times 100 \: \: = m( 10000 - 0 ) } \\ \small\bf\red{200\: \: = m( 10000)} \\ \: \small\bf\red{200 \: \: = 10000m} \\ \small\bf\red{m \: \: = \frac{200}{10000}kg} \\ \\\small\bf\blue{m \: \: = \ \: 0.020kg/20g...answer}$

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