Physics

Mechanics

Easy

Question

$T w o space p a r t i c l e s comma space o f space m a s s e s space M space a n d space 2 M comma space m o v i n g comma space a s space s h o w n comma space w i t h space s p e e d s space o f space 10 space m divided by s space a n d space 5 space m divided by s comma space c o l l i d e space e l a s t i c a l l y space a t space t h e space o r i g i n. space A f t e r space t h e space c o l l i s i o n comma space t h e y space m o v e space a l o n g space t h e space i n d i c a t e d space d i r e c t i o n s space w i t h space s p e e d s space v subscript 1 space a n d space v subscript 2 comma space r e s p e c t i v e l y T h e space v a l u e s space o f space v subscript 1 space a n d space v subscript 2 space a r e space n e a r l y space colon$

3.2 m/s and 12.6 m/s
3.2 m/s and 6.3 m/s
6.5 m/s and 6.3 m/s
6.5 m/s and 3.2 m/s

The correct answer is: 6.5 m/s and 6.3 m/s

$A space b u l l e t space o f space m a s s space 20 space g space h a s space a n space i n i t i a l space s p e e d space o f space 1 space m s to the power of negative 1 end exponent comma space j u s t space b e f o r e space i t space s t a r t s space p e n e t r a t i n g space a space m u d space w a l l space o f space t h i c k n e s s space 20 space c m. I f space t h e space w a l l space o f f e r s space a space m e a n space r e s i s tan c e space o f space 2.5 cross times 10 to the power of negative 2 end exponent straight N comma space t h e space s p e e d space o f space t h e space b u l l e t space a f t e r space e m e r g i n g space f r o m space t h e space o t h e r space s i d e space o f space t h e space w a l l space i s space c l o s e space t o space colon$

PhysicsMechanics

Mechanics

Physics

$A space t h i n space d i s c space o f space m a s s space M space a n d space r a d i u s space R space h a s space m a s s space p e r space u n i t space a r e a space sigma left parenthesis r right parenthesis equals k r squared space w h e r e space r space i s space t h e space d i s tan c e space f r o m space i t s space c e n t r e. I t s space m o m e n t space o f space i n e r t i a space a b o u t space a n space a x i s space g o i n g space t h r o u g h space i t s space c e n t r e space o f space m a s s space a n d space p e r p e n d i c u l a r space t o space i t s space p l a n e space i s space colon space$

PhysicsMechanics

Mechanics

Physics

$A space u n i f o r m space r e c tan g u l a r space t h i n space s h e e t space A B C D space o f space m a s space M space h a s space l e n g t h space a space a n d space b r e a d t h space b comma space a s space s h o w n space i n space t h e space f i g u r e. space I f space t h e space s h a d e d space p o r t i o n H B G O space i s space c u t minus o f f comma space t h e space c o o r d i n a t e s space o f space t h e space c e n t r e space o f space m a s s space o f space t h e space r e m a i n i n g space p o r t i o n space w i l l space b e$

PhysicsMechanics

Mechanics

Physics

$A space b o d y space o f space m a s s space m subscript 1 space m o v i n g space w i t h space a n space u n k n o w n space v e l o c i t y space o f space space v subscript 1 space i with hat on top space space comma space u n d e r g o e s space a space c o l l i n e a r space c o l l i s i o n space w i t h space a space b o d y space o f m a s s space m subscript 2 space m o v i n g space w i t h space a space v e l o c i t y space v subscript 2 space i with hat on top space space. space A f t e r space c o l l i s i o n comma space m subscript 1 space a n d space m subscript 2 space m o v e space w i t h space v e l o c i t i e s space o f space v subscript 2 space i with hat on top space space a n d space v subscript 4 space i with hat on top comma r e s p e c t i v e l y space. space I f space m subscript 2 space equals space 0.5 space m subscript 1 space a n d space v subscript 3 space equals space 0.5 space v subscript 1 comma space t h e n space v subscript 1 space i s space minus space space$

PhysicsMechanics

Mechanics

Physics

$A space p a r t i c l e space s t a r t s space f r o m space o r i g i n space O space f r o m space r e s t space a n d space m o v e s space w i t h space a space u n i f o r m space a c c e l e r a t i o n space a l o n g space t h e space p o s i t i v e space x minus a x i s. space I d e n t i f y space a l l space f i g u r e s space t h a t space c o r r e c t l y space r e p r e s e n t space t h e space m o t i o n space q u a l i t a t i v e l y. space left parenthesis a space equals space a c c e l e r a t i o n comma space v equals space v e l o c i t y comma space x equals space d i s p l a c e m e n t comma space t equals space t i m e space right parenthesis$

PhysicsMechanics

Mechanics

Physics

$A space r e c tan g u l a r space s o l i d space b o x space o f space l e n g t h space 0.3 space m space i s space h e l d space h o r i z o n t a l l y comma space w i t h space o n e space o f space i t s space s i d e s space o n space t h e space e d g e space o f space a space p l a t f o r m space o f space h e i g h t space 5 space m. space W h e n space r e l e a s e d comma space i t space s l i p s space o f f space t h e space t a b l e space i n space a space v e r y space s h o r t space t i m e space tau equals 0.01 straight s space r e m a i n i n g space e s s e n t i a l l y space h o r i z o n t a l. T h e space a n g l e space b y space w h i c h space i t space w o u l d space r o t a t e space w h e n space i t space h i t s space t h e space g r o u n d space w i l l space b e space left parenthesis i n space r a d i a n s right parenthesis space c l o s e space t o$

PhysicsMechanics

Mechanics

Physics

$A space S o l i d space s p h e r e space a n d space s o l i d space c y l i n d e r space o f space i d e n t i c a l space r a d i i space a p p r o a c h space a n space i n c l i n e space w i t h space t h e space s a m e space l i n e a r space v e l o c i t y space left parenthesis S e e space f i g u r e right parenthesis. space B o t h space r o l l space w i t h o u t space s l i p p i n g space a l l space t h r o u g h o u t. space T h e space t w o space c l i m b space m a x i m u m space h e i g h t s space h blank subscript s p h end subscript space a n d space h subscript c y l end subscript space o n space t h e space i n c l i n e. space T h e space r a t i o space straight h subscript sph over straight h subscript cy 1 end subscript space i s space g i v e n space b y$

PhysicsMechanics

Mechanics

Physics

$A space t h i n space c i r c u l a r space p l a t e space o f space m a s s space M space a n d space r a d i u s space R space h a s space i t s space d e n s i t y space v a r y i n g space a s space rho left parenthesis straight r right parenthesis equals rho subscript 0 straight r straight rho left parenthesis straight r right parenthesis equals straight rho subscript 0 straight r space w i t h space straight rho subscript 0 space a s space c o n s tan t space a n d space r space i s space t h e space d i s tan c e space f r o m space i t s space c e n t e r. space T h e space m o m e n t space o f space i n e r t i a space o f space t h e space c i r c u l a r space p l a t e space a b o u t space a n space a x i s space p e r p e n d i c u l a r space t o space t h e space p l a t e space a n d space p a s sin g space t h r o u g h space i t s space e d g e space i s space I equals a M R squared space. space T h e space v a l u e space o f space t h e space c o e f f i c i e n t space a space i s$

PhysicsMechanics

Mechanics

Physics

$F o u r space p a r t i c l e s space A comma space B comma space C space a n d space D space w i t h space m a s s e s space m subscript A equals m comma space m subscript B equals 2 space m comma space m subscript C equals 3 subscript m space a n d space m subscript D equals 4 m space a r e space a t space t h e space c o r n e r s space o f space a space s q u a r e. space T h e y space h a v e space a c c e l e r a t i o n s space o f space e q u a l space m a g n i t u d e space w i t h space d i r e c t i o n s space a s space s h o w n. space T h e space a c c e l e r a t i o n space o f space t h e space c e n t r e o f space m a s s space o f space t h e space p a r t i c l e s space i s$

PhysicsMechanics

Mechanics

Physics

$A space m o v i n g space c o i l space g a l v a n o m e t e r space h a s space a space c o i l space w i t h space 175 space t u r n s space a n d space a r e a space 1 space c m squared. space I t space u s e s space a space t o r s i o n space b a n d space o f space t o r s i o n c o n s tan t space 10 to the power of negative 6 end exponent space N minus m divided by r a d. space T h e space c o i l space i s space p l a c e d space i n space a space m a g n e t i c space f i e l d space B space p a r a l l e l space t o space i t s space p l a n e. space T h e space c o i l d e f l e c t s space b y space 1 degree space space f o r space a space c u r r e n t space o f space 1 space m A. space T h e space v a l u e space o f space B space left parenthesis i n space T e s l a right parenthesis space i s space a p p r o x i m a t e l y space colon space$

PhysicsMechanics

Mechanics

Physics

$A space s t a t i o n a r y space h o r i z o n t a l space d i s c space i s space f r e e space t o space r o t a t e space a b o u t space i t s space a x i s. space W h e n space a space t o r q u e space i s space a p p l i e d o n space i t comma space i t s space k i n e t i c space e n e r g y space a s space a space f u n c t i o n space o f space theta comma space w h e r e space theta space i s space t h e space a n g l e space b y space w h i c h space i s space h a s space r o t a t e d comma space i s space g i v e n space a s space straight k theta squared. space I f space i t s space m o m e n t space o f space i n e r t i a space i s space I space t h e n space t h e space a n g u l a r space a c c e l e r a t i o n space o f space t h e space d i s c space i s space space$

PhysicsMechanics

Mechanics

Physics

$T h e space v a l u e space o f space a c c e l e r a t i o n space d u e space t o space g r a v i t y space a t space E a r t h apostrophe s space s u r f a c e space i s space space space 9.8 ms to the power of negative 2 end exponent. space T h e space a l t i t u d e space a b o v e space i t s space s u r f a c e space a t space w h i c h t h e space a c c e l e r a t i o n space d u e space t o space g r a v i t y space d e c r e a s e s space t o space 4.9 space m s to the power of negative 2 end exponent space comma space i s space c l o s e space t o space colon space left parenthesis R a d i u s space o f space e a r t h space equals space 6.4 space cross times space 10 to the power of 6 space space m right parenthesis space$

PhysicsMechanics

Mechanics

Physics

$A space p a r t i c l e space o f space m a s s space m space i s space m o v i n g space a l o n g space a space t r a j e c t o r y space g i v e n space b y space table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell x equals x subscript 0 plus a cos invisible function application omega subscript 1 t end cell row cell y equals y subscript 0 plus b sin invisible function application omega subscript 2 t end cell end table T h e space t o r q u e comma space a c t i n g space o n space t h e space p a r t i c l e space a b o u t space t h e space o r i g i n space comma space a t space t space equals space 0 space i s space colon$

PhysicsMechanics

Mechanics

Physics

$I n space t h e space f o r m u l a space X equals 5 space Y space Z squared comma space X space a n d space Z space h a v e space d i m e n s i o n s space o f space c a p a c i tan c e space a n d space m a g n e t i c space f i e l d comma space r e s p e c t i v e l y. space W h a t space a r e space t h e space d i m e n s i o n s space o f space Y space i n space S I space u n i t s ?$

PhysicsMechanics

Mechanics

Physics

$I f space m space left parenthesis g plus pi n r squared right parenthesis space a n d space m left parenthesis g plus pi n r right parenthesis space r e p r e s e n t space r a d i a l space a n d space tan g e n t i a l space a c c e l e r a t i o n s comma space t h e space m o t i o n space o f space a space p a r t i c l e space w i l l space b e space u n i f o r m l y space c i r c u l a r space i f$

PhysicsMechanics

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

About Turito

Turito is a revolutionary learning platform for quality online and on-campus education from the most experienced faculty. We offer two years integrated classroom coaching for IIT-JEE and NEET aspirants at our Hyderabad campus. We provide online coaching for all kinds of competitive exams such as IIT-JEE, NEET, SAT, ACT, PSAT, Subjective SAT, AP & Olympiads, and Foundation Courses for students of Class 6 to 10 (CBSE, ICSE & State Syllabus).

Turito’s faculty has 30+ years of experience with a proven track record in teaching English, Maths, Physics, Chemistry, Botany, Zoology, Reading Comprehension, and so on. Turito is driven to provide the best online and on-campus programs to students across India, US, Singapore, and Middle East regions.

Courses

SAT
ACT
PSAT
One-On-One Tutoring
AP
Coding
Discovery Program

Quick Links

About Us
Privacy Policy
Terms & Conditions
Teachers @ turito
Turito Blog

Follow Us at

Support

help@turito.com
1800-599-0009

Download App

Courses

SAT
ACT
PSAT
One-On-One Tutoring
AP
Coding
Discovery Program

Quick Links

About Us
Privacy Policy
Terms & Conditions
Teachers @ turito
Turito Blog

Privacy Policy
Terms & Conditions

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

3.2 m/s and 12.6 m/s
3.2 m/s and 6.3 m/s
6.5 m/s and 6.3 m/s
6.5 m/s and 3.2 m/s

The correct answer is: 6.5 m/s and 6.3 m/s

Related Questions to study

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Courses

Quick Links

Follow Us at

Support

Download App

Courses

Quick Links

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

3.2 m/s and 12.6 m/s3.2 m/s and 6.3 m/s6.5 m/s and 6.3 m/s6.5 m/s and 3.2 m/s

The correct answer is: 6.5 m/s and 6.3 m/s

Related Questions to study

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Courses

Quick Links

3.2 m/s and 12.6 m/s
3.2 m/s and 6.3 m/s
6.5 m/s and 6.3 m/s
6.5 m/s and 3.2 m/s