A car accelerates from 0 to 50mph in 4.5 seconds. The car exerts a force of 4000N. What is the mass of the car?
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सत्यमेव जयते नानृतम सत्येन पंथा विततो देवयानः। येनाक्रमंत्यृषयो ह्याप्तकामो यत्र तत् सत्यस्य परमम् निधानम॥
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Explanation:
Nahi pata......
Question : Prove that√5 is irrational.
Answer :
Let us assume that √5 is a rational number.
Sp it t can be expressed in the form p/q where p,q are co-prime integers and q≠0
⇒√5=p/q
On squaring both the sides we get,
⇒5=p²/q²
⇒5q²=p² —————–(i)
p²/5= q²
So 5 divides p
p is a multiple of 5
⇒p=5m
⇒p²=25m² ————-(ii)
From equations (i) and (ii), we get,
5q²=25m²
⇒q²=5m²
⇒q² is a multiple of 5
⇒q is a multiple of 5
Hence, p,q have a common factor 5. This contradicts our assumption that they are co-primes. Therefore, p/q is not a rational number
√5 is an irrational number
Hence proved
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