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An object of mass 24kg is accelerated up a frictionless plane inclined at an angle of 37°. Starting at the bottom from the rest,it covers a distance of 18m in 3secs. a)what is the average power required to accomplish the process? b)what is the instantaneous power required at the end of the 3second interval?

$A n o b j e c t o f m a s s 24 k g i s$ $a c c e l e r a t e d u p a f r i c t i o n l e s s p l a n e$ $i n c l i n e d a t a n a n g l e o f 37 ° .$ $S t a r t i n g a t t h e b o t t o m f r o m t h e$ $r e s t, i t c o v e r s a d i s t a n c e o f 18 m$ $i n 3 s e c s .$ $a) w h a t i s t h e a v e r a g e p o w e r$ $r e q u i r e d t o a c c o m p l i s h t h e$ $p r o c e s s ?$ $b) w h a t i s t h e i n s t a n t a n e o u s p o w e r$ $r e q u i r e d a t t h e e n d o f t h e 3 s e c o n d$ $i n t e r v a l ?$

Question Number 28644 Answers: 0 Comments: 4

A man pushes a box of 40kg up an incline plane of 15°,if the man applies a horizontal force of 200N and the box moves up the plane a distance of 20m at a constant velocity and the coefficient of friction is 0.10, find a)workdone by the man on the box. b)workdone against friction.

$A m a n p u s h e s a b o x o f 40 k g u p$ $a n i n c l i n e p l a n e o f 15 °, i f t h e m a n$ $a p p l i e s a h o r i z o n t a l f o r c e o f$ $200 N a n d t h e b o x m o v e s u p t h e$ $p l a n e a d i s t a n c e o f 20 m a t a$ $c o n s t a n t v e l o c i t y a n d t h e$ $c o e f f i c i e n t o f f r i c t i o n i s 0.10,$ $f i n d$ $a) w o r k d o n e b y t h e m a n o n t h e$ $b o x .$ $b) w o r k d o n e a g a i n s t f r i c t i o n .$

Question Number 28643 Answers: 0 Comments: 0

Question Number 28642 Answers: 0 Comments: 0

f(x)=4x−1for0<x<4 find f(0) ,f(1) f(1.2),f(4),f(−1)

$f (x) = 4 x - 1 f o r 0 < x < 4 f i n d f (0), f (1)$ $f (1.2), f (4), f (- 1)$

Question Number 28640 Answers: 2 Comments: 2

Each of the angle between vectors a, b and c is equal to 60°. If ∣a∣=4, ∣b∣=2 and ∣c∣=6, then the modulus of a+b+c is

$Each of the angle between vectors a,$ $b and c is equal to 60 ° . If ∣ a ∣= 4, ∣ b ∣= 2$ $and ∣ c ∣= 6, then the modulus of$ $a + b + c is$

Question Number 28626 Answers: 0 Comments: 9

Question Number 28624 Answers: 1 Comments: 4

Question Number 28622 Answers: 0 Comments: 2

find Σ_(k=0) ^(+∞) arctan( (1/(k^2 +k+1))) .

$f i n d \sum_{k = 0}^{+ \infty} a r c t a n (\frac{1}{k^{2} + k + 1}) .$

Question Number 28621 Answers: 0 Comments: 0

let give u_n =(([(√(n+1])) −[(√(n])))/n) find Σ u_n .

$l e t g i v e u_{n} = \frac{[\sqrt{n + 1]} - [\sqrt{n]}}{n} f i n d Σ u_{n} .$

Question Number 28620 Answers: 0 Comments: 4

calculate Σ_(n=p) ^(+∞) C_(n ) ^p x^n .

$c a l c u l a t e \sum_{n = p}^{+ \infty} C_{n}^{p} x^{n} .$

Question Number 28619 Answers: 0 Comments: 1

calculate Σ_(k=2) ^(+∞) ln(1−(1/k^2 )) .

$c a l c u l a t e \sum_{k = 2}^{+ \infty} l n (1 - \frac{1}{k^{2}}) .$

Question Number 28618 Answers: 0 Comments: 0

let give u_n = Σ_(k=n) ^(+∞) (((−1)^k )/(√(k+1))) study the convergence of Σ u_n .

$l e t g i v e u_{n} = \sum_{k = n}^{+ \infty} \frac{{(- 1)}^{k}}{\sqrt{k + 1}} s t u d y t h e c o n v e r g e n c e o f$ $Σ u_{n} .$

Question Number 28617 Answers: 0 Comments: 0

let give a sequence of reals (a_n )_n / a_n >0 and U_n = (a_n /((1+a_1 )(1+a_2 )....(1+a_n ))) 1) prove that Σ u_n converges 2) calculate Σ u_n if u_n = (1/(√n)) .

$l e t g i v e a s e q u e n c e o f r e a l s {(a_{n})}_{n} / a_{n} > 0 a n d$ $U_{n} = \frac{a_{n}}{(1 + a_{1}) (1 + a_{2}) . . . . (1 + a_{n})}$ $1) p r o v e t h a t Σ u_{n} c o n v e r g e s$ $2) c a l c u l a t e Σ u_{n} i f u_{n} = \frac{1}{\sqrt{n}} .$

Question Number 28616 Answers: 0 Comments: 0

let give u_n = (1+(1/n))^n −e find nature of Σ u_n .

$l e t g i v e u_{n} = {(1 + \frac{1}{n})}^{n} - e f i n d n a t u r e o f Σ u_{n} .$

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