Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Physics

Mechanics

Easy

Question

$A space p e n d u l u m space b o b space o f space m a s s space 10 to the power of – 2 end exponent space k g space i s space r a i s e d space t o space a space h e i g h t space 0.2 space m space a n d space t h e n space r e l e a s e d. space A t space t h e space b o t t o m space o f space i t s space s w i n g comma space i t space p i c k s space u p space a space m a s s space 10 to the power of – 2 space end exponent k g. space T o space w h a t space h e i g h t space i n space c m space w i l l space t h e space c o m b i n e d space m a s s space r i s e ? space left parenthesis g space equals space 10 m divided by s squared right parenthesis$

$50 c m$
$60 c m$
$40 c m$
$90 c m$

The correct answer is: $50 c m$

$table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell v equals square root of 2 g H end root equals 2 straight m divided by straight s comma space of 1em m v equals left parenthesis M plus m right parenthesis v not stretchy rightwards double arrow v equals 1 ms to the power of negative 1 end exponent end cell row cell h equals fraction numerator v squared over denominator 2 g end fraction equals fraction numerator left parenthesis 1 right parenthesis squared over denominator 2 g end fraction equals 50 cm end cell end table$

Related Questions to study

$A space p r o j e c t i l e space o f space m a s s space m space i s space t h r o w n space w i t h space v e l o c i t y space v space m a k i n g space a n space a n g l e space o f space 30 degree space w i t h space v e r t i c a l. space N e g l e c t i n g space a i r space r e s i s tan c e space t h e space m a g n i t u d e space o f space c h a n g e space i n space m o m e n t u m space b e t w e e n space t h e space s t a r t i n g space p o i n t space a n d space a t space t h e space m a x i m u m space h e i g h t space i s space$

$A space p r o j e c t i l e space o f space m a s s space m space i s space t h r o w n space w i t h space v e l o c i t y space v space m a k i n g space a n space a n g l e space o f space 30 degree space w i t h space v e r t i c a l. space N e g l e c t i n g space a i r space r e s i s tan c e space t h e space m a g n i t u d e space o f space c h a n g e space i n space m o m e n t u m space b e t w e e n space t h e space s t a r t i n g space p o i n t space a n d space a t space t h e space m a x i m u m space h e i g h t space i s space$

PhysicsMechanics

$1. T w o space b l o c k s space o f space m a s s e s space m subscript 1 space end subscript a n d space m subscript 2 space a r e space space c o n n e c t e d space b y space a space s p r i n g space o f space s p r i n g space c o n s tan t space k. space T h e space b l o c k space o f space m a s s space m subscript 2 space i s space g i v e n space a space s h a r p space i m p u l s e space s o space t h a t space i t space a c q u i r e s space a space v e l o c i t y space v subscript 0 space t o w a r d space r i g h t. space I f space s p r i n g space b r e a k space w h e n space v e l o c i t y space o f space m subscript 2 space i s space fraction numerator 3 v subscript 0 over denominator 4 end fraction space t h e space v e l o c i t y space o f space o t h e r space b l o c k space w i l l space b e space$

$1. T w o space b l o c k s space o f space m a s s e s space m subscript 1 space end subscript a n d space m subscript 2 space a r e space space c o n n e c t e d space b y space a space s p r i n g space o f space s p r i n g space c o n s tan t space k. space T h e space b l o c k space o f space m a s s space m subscript 2 space i s space g i v e n space a space s h a r p space i m p u l s e space s o space t h a t space i t space a c q u i r e s space a space v e l o c i t y space v subscript 0 space t o w a r d space r i g h t. space I f space s p r i n g space b r e a k space w h e n space v e l o c i t y space o f space m subscript 2 space i s space fraction numerator 3 v subscript 0 over denominator 4 end fraction space t h e space v e l o c i t y space o f space o t h e r space b l o c k space w i l l space b e space$

PhysicsMechanics

$text Two blocks of masses m end text subscript text 1 end text end subscript text and m end text subscript text 2 end text end subscript text are connected by a spring of spring constant k. end text text The block of mass m end text subscript text 2 end text end subscript text is given a sharp impulse so that it acquires a velocity v end text subscript text 0 end text end subscript text toward right end text text Find maximum elongation of spring end text$

$text Two blocks of masses m end text subscript text 1 end text end subscript text and m end text subscript text 2 end text end subscript text are connected by a spring of spring constant k. end text text The block of mass m end text subscript text 2 end text end subscript text is given a sharp impulse so that it acquires a velocity v end text subscript text 0 end text end subscript text toward right end text text Find maximum elongation of spring end text$

PhysicsMechanics

parallel

$1. T w o space b l o c k s space o f space m a s s e s space m subscript 1 space a n d space m subscript 2 space a r e space space c o n n e c t e d space b y space a space s p r i n g space o f space s p r i n g space c o n s tan t space k. space T h e space b l o c k space o f space m a s s space m subscript 2 space i s space g i v e n space a space s h a r p space i m p u l s e space s o space t h a t space i t space a c q u i r e s space a space v e l o c i t y space v subscript 0 space t o w a r d space r i g h t. space space space V e l o c i t y space o f space c e n t r e space o f space m a s s space w i l l space b e space space$

$1. T w o space b l o c k s space o f space m a s s e s space m subscript 1 space a n d space m subscript 2 space a r e space space c o n n e c t e d space b y space a space s p r i n g space o f space s p r i n g space c o n s tan t space k. space T h e space b l o c k space o f space m a s s space m subscript 2 space i s space g i v e n space a space s h a r p space i m p u l s e space s o space t h a t space i t space a c q u i r e s space a space v e l o c i t y space v subscript 0 space t o w a r d space r i g h t. space space space V e l o c i t y space o f space c e n t r e space o f space m a s s space w i l l space b e space space$

PhysicsMechanics

A projectile is fixed with velocity v₀ = 2m/s at angle 60º with horizontal. At top of its trajectory it explodes into three fragment of equal mass. First fragment retraces the path, second moves vertically upward with speed $fraction numerator 3 straight V subscript 0 over denominator 2 end fraction$ . The speed of third fragment (in m/s) is –

A projectile is fixed with velocity v₀ = 2m/s at angle 60º with horizontal. At top of its trajectory it explodes into three fragment of equal mass. First fragment retraces the path, second moves vertically upward with speed $fraction numerator 3 straight V subscript 0 over denominator 2 end fraction$ . The speed of third fragment (in m/s) is –

PhysicsMechanics

A steel ball of radius R = 20 cm and m = 2 kg is rotating about a horizontal diameter with angular speed w₀ = 50 rad/sec. This rotating ball is dropped on a rough horizontal floor and fall freely through a height h = 1.25 m. The coefficient of restitution is e = 1 and coefficient of friction between ball and floor is $mu equals 0.3$ . Then the distance in m between the point of first and second impact of the ball and floor is

A steel ball of radius R = 20 cm and m = 2 kg is rotating about a horizontal diameter with angular speed w₀ = 50 rad/sec. This rotating ball is dropped on a rough horizontal floor and fall freely through a height h = 1.25 m. The coefficient of restitution is e = 1 and coefficient of friction between ball and floor is $mu equals 0.3$ . Then the distance in m between the point of first and second impact of the ball and floor is

PhysicsMechanics

parallel

Three identical balls each of mass m = 0.5 kg are connected with ideal string as shown in figure and this system rests on a smooth horizontal table. At moment t = 0 ball B is imparted a velocity v₀ = 9 m/s as shown. Then the velocity of A in m/s when it collides with ball C.

Three identical balls each of mass m = 0.5 kg are connected with ideal string as shown in figure and this system rests on a smooth horizontal table. At moment t = 0 ball B is imparted a velocity v₀ = 9 m/s as shown. Then the velocity of A in m/s when it collides with ball C.

PhysicsMechanics

A ball of mass m hits a wedge of mass '2m' with velocity 'v₀' in horizontal direction and moves in vertically upward direction with velocity 'v₀/2'. There is no friction between wedge and the surface -

A ball of mass m hits a wedge of mass '2m' with velocity 'v₀' in horizontal direction and moves in vertically upward direction with velocity 'v₀/2'. There is no friction between wedge and the surface -

PhysicsMechanics

A thin uniform rod of mass m and length $ell$ is free to rotate about its upper end. When it is at rest, it receives an impulse J at its lowest point, normal to its length. Then immediately after impact -

A thin uniform rod of mass m and length $ell$ is free to rotate about its upper end. When it is at rest, it receives an impulse J at its lowest point, normal to its length. Then immediately after impact -

PhysicsMechanics

parallel

Two identical spheres move in opposite directions with speeds v₁ and v₂ and pass behind an opaque screen, where they may either cross without touching (event 1) or make an elastic head-on collision (event 2) -

Two identical spheres move in opposite directions with speeds v₁ and v₂ and pass behind an opaque screen, where they may either cross without touching (event 1) or make an elastic head-on collision (event 2) -

PhysicsMechanics

A cylinder is rolling over frictionless horizontal surface with velocity v₀ as shown in figure. Coefficient of friction between wall and cylinder is $mu equals 1 fourth$ . If the collision between cylinder and wall is completely inelastic, then kinetic energy of cylinder after collision –

A cylinder is rolling over frictionless horizontal surface with velocity v₀ as shown in figure. Coefficient of friction between wall and cylinder is $mu equals 1 fourth$ . If the collision between cylinder and wall is completely inelastic, then kinetic energy of cylinder after collision –

PhysicsMechanics

A ball moving with a velocity v hits a massive wall moving towards the ball with a velocity u. An elastic impact lasts for a time $straight capital delta straight t$ .

A ball moving with a velocity v hits a massive wall moving towards the ball with a velocity u. An elastic impact lasts for a time $straight capital delta straight t$ .

PhysicsMechanics

parallel

A ball falls from a height of 5m and strikes a lift which is moving in the upward direction with a velocity of 1m/s, then the velocity with which the ball rebounds after collision will be -

A ball falls from a height of 5m and strikes a lift which is moving in the upward direction with a velocity of 1m/s, then the velocity with which the ball rebounds after collision will be -

PhysicsMechanics

Two particles A and B each of mass m are attached by a light inextensible string of length $2 ell$ . The whole system lies on a smooth horizontal table with B initially at a distance $ell$ from A. The particle at end B is projected across the table with speed u perpendicular to AB. Velocity of ball A just after the string is taut, is

Two particles A and B each of mass m are attached by a light inextensible string of length $2 ell$ . The whole system lies on a smooth horizontal table with B initially at a distance $ell$ from A. The particle at end B is projected across the table with speed u perpendicular to AB. Velocity of ball A just after the string is taut, is

PhysicsMechanics

A ball of mass m approaches a wall of mass M (>> m) with speed 4 m/s along the normal to the wall. The speed of wall is 1m/s towards the ball. The speed of the ball after an elastic collision with the wall is -

A ball of mass m approaches a wall of mass M (>> m) with speed 4 m/s along the normal to the wall. The speed of wall is 1m/s towards the ball. The speed of the ball after an elastic collision with the wall is -

PhysicsMechanics

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.