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Question Number 23022 Answers: 1 Comments: 5

what are the conditions necessary for a body of mass mkg on an incline plane at angle θ to the horizontal to remain at rest?

$w h a t a r e t h e c o n d i t i o n s n e c e s s a r y$ $f o r a b o d y o f m a s s m k g o n a n i n c l i n e p l a n e$ $a t a n g l e θ t o t h e h o r i z o n t a l t o$ $r e m a i n a t r e s t ?$

Question Number 23020 Answers: 1 Comments: 3

∫_1 ^3 ((4x+1)/(2x^2 +x−2))dx=?

$\underset{1}{\int^{3}} \frac{4 x + 1}{2 x^{2} + x - 2} dx = ?$

Question Number 23012 Answers: 2 Comments: 2

Question Number 23009 Answers: 0 Comments: 3

Question Number 23000 Answers: 0 Comments: 0

Let n be a positive integer and p_1 , p_2 , ..., p_n be n prime numbers all larger than 5 such that 6 divides p_1 ^2 + p_2 ^2 + ... + p_n ^2 . Prove that 6 divides n.

$Let n be a positive integer and p_{1}, p_{2},$ $. . ., p_{n} be n prime numbers all larger$ $than 5 such that 6 divides p_{1}^{2} + p_{2}^{2} + . . . +$ $p_{n}^{2} . Prove that 6 divides n .$

Question Number 22999 Answers: 0 Comments: 0

ΔH_f ^o of N_2 O is 82 kJ/mol and bond energy for N_2 , N = N, O = O and N = O bonds are 946, 418, 498 and 607 kJ/mol respectively, then resonance energy of N_2 O is

$Δ H_{f}^{o} of N_{2} O is 82 kJ / mol and bond$ $energy for N_{2}, N = N, O = O and N = O$ $bonds are 946, 418, 498 and 607 kJ / mol$ $respectively, then resonance energy of$ $N_{2} O is$

Question Number 22990 Answers: 1 Comments: 0

A train weighing 100 metric ton is running on a level track with a uniform speed of 72 km h^(−1) . If the frictional resistance amounts to 0.5 kg per metric ton, find the power of the engine.

$A train weighing 100 metric ton is$ $running on a level track with a uniform$ $speed of 72 km h^{- 1} . If the frictional$ $resistance amounts to 0.5 kg per metric$ $ton, find the power of the engine .$