Block 
of mass 
=2 kg is connected to another block 
of mass 
kg with a string and a spring of force constant
N/m as shown in fig. Initially, spring is compressed to 10 cm and whole system is moving on a smooth surface with a velocity 
=1m/s. At any time,thread is burnt, the velocity of block 
,when 
is having maximum velocity w.r.t. ground,is
.png)
|
a) |
Zero |
b) |
1 m/s |
c) |
3m/s |
d) |
None of these |
Question ID - 100032 | SaraNextGen Answer Block of mass =2 kg is connected to another block of mass kg with a string and a spring of force constant N/m as shown in fig. Initially, spring is compressed to 10 cm and whole system is moving on a smooth surface with a velocity =1m/s. At any time,thread is burnt, the velocity of block ,when is having maximum velocity w.r.t. ground,is
a)
Zero
b)
1 m/s
c)
3m/s
d)
None of these
Block of mass =2 kg is connected to another block of mass kg with a string and a spring of force constant N/m as shown in fig. Initially, spring is compressed to 10 cm and whole system is moving on a smooth surface with a velocity =1m/s. At any time,thread is burnt, the velocity of block ,when is having maximum velocity w.r.t. ground,is
|
a) |
Zero |
b) |
1 m/s |
c) |
3m/s |
d) |
None of these |
(c)
The velocity of 
will be maximum when spring comes to its natural length.Let at that time their velocities are 
and
as shown
.png)
Conservation of momentum:
(i)
Conservation of energy:
(ii)
From Eqs. (i) and (ii),
m/s, 
or 
The second solution is possible
