two weels, those have the same materials, with radii:r_1 =4 and r_2 =14 are starting to move on a surface,with the same velocity,from:x=0 to x=20. the surface has no friction. wich one arrives faster? any informations needed?


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Question Number 201107 by behi834171 last updated on 29/Nov/23

$t w o w e e l s, t h o s e h a v e t h e s a m e m a t e r i a l s,$ $w i t h r a d i i : r_{1} = 4 a n d r_{2} = 14$ $a r e s t a r t i n g t o m o v e o n a s u r f a c e, w i t h$ $t h e s a m e v e l o c i t y, f r o m : x = 0 t o x = 20 .$ $t h e s u r f a c e h a s n o f r i c t i o n .$ $w i c h o n e a r r i v e s f a s t e r ?$ $a n y i n f o r m a t i o n s n e e d e d ?$
Commented by mr W last updated on 29/Nov/23

$n o f r i c t i o n m e a n s t h a t t h e w h e e l s$ ${d o n}^{'} t r o t a t e . w e h a v e t w o o b j e c t s :$ $a b i g g e r o n e a n d a s m a l l e r o n e, b o t h$ $s t a r t w i t h t h e s a m e v e l o c i t y . t h e y$ $n e e d t h e s a m e t i m e t o c o v e r t h e$ $s a m e d i s t a n c e . y o u r q u e s t i o n ‘ ‘ w h i c h$ $o n e a r r i v e s f a s t e r ?^{″} c a n n o t b e$ $a n s w e r e d, b e c a u s e y o u {d i d n}^{'} t t e l l i f$ $t h e y m o v e d t h e s a m e d i s t a n c e o r n o t .$ $f r o m x = 0 a n d x = 20 t o w h e r e ?$
Commented by behi834171 last updated on 29/Nov/23

$h e l l o d e a r m a s t e r .$ $t h a n k s f o r y o u r t i m e a n d a t t e n t i o n .$ $y o u a r e r i g h t .$ $n o w w e a s s u m e t h a t t h e s u r f a c e h a s$ $t h e f r i c t i o n, s a m e t o b o t h o b j e c t s .$ $t h e p a s s e d d i s t a n c e i s,$ $a l s o t h e s a m e f o r t w o, i . e . 20 u n i t s .$
Commented by mr W last updated on 29/Nov/23

$i f t h e y s t a r t w i t h t h e s a m e v e l o c i t y$ $a n d t h e y m o v e t h e s a m e d i s t a n c e,$ $t h e n t h e y n e e d t h e s a m e t i m e,$ $d e s p i t e t h e i r d i f f e r e n t m a s s e s a n d$ $s i z e s .$
Commented by mr W last updated on 30/Nov/23

Commented by mr W last updated on 30/Nov/23

$w h e n a w h e e l s t a r t s t o r o l l o n a$ $h o r i z o n t a l s u r f a c e w i t h v e l o c i t y v,$ $i t w i l l k e e p t h i s s p e e d . i f t w o w h e e l s$ $w i t h d i f f e r e n t r a d i i a n d d i f f e r e n t$ $m a s s e s s t a r t w i t h t h e s a m e v e l o c i t y,$ $t h e y w i l l r o t a t e d i f f e r e n t l y f a s t,$ $d e p e n d i n g o n t h e i r r a d i i, b u t t h e y$ $m o v e f o r w a r d s w i t h t h e s a m e$ $v e l o c i t y v . t o c o v e r t h e s a m e$ $d i s t a n c e s t h e y n e e d t h e s a m e t i m e$ $t = \frac{s}{v} .$ $c e r t a i n l y t o b r i n g t h e s e t w o w h e e l s$ $t o s t a r t t o m o v e w i t h t h e s a m e$ $v e l o c i t y, y o u n e e d t o d o d i f f e r e n t$ $a m o u n t o f w o r k .$
Commented by behi834171 last updated on 04/Dec/23

$t h a n k s a l o t s i r f o r y o u r t i m e a n d f a v o r .$ $i n f a c t, i h a v e n o i d e a .$ $p l e a s e r e w r i t e t h e q u e t i o n i n g o o d a n d$ $t r u e c o n d i t i o n s, a n d p l e a s e p o s t y o u r$ $a n s w e r . t h a n k a l o t, a g a i n .$
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