Pulley and spring are massless and the friction is absent everwhere. $5\, kg$ block is released from rest. The speed of $5\, kg$ block when $2\, kg$ block leaves the contact with ground is (take force constant of the spring $K = 40\, N/m$ and $g = 10\, m/s^2)$
Pulley and spring are massless and the friction is absent everwhere. $5\, kg$ block is released from rest. The speed of $5\, kg$ block when $2\, kg$ block leaves the contact with ground is (take force constant of the spring $K = 40\, N/m$ and $g = 10\, m/s^2)$
- A
$\sqrt 2\,m/s$
- B
$2 \sqrt 2\,m/ s$
- C
$2\, m/s$
- D
$4 \sqrt 2\,m/ s$
Similar Questions
This question has Statement $-1$ and Statement $-2$. Of the four choices given after the statements, choose the one that best describes the two statements.
If two springs $S_1$ and $S_2$ of force constants $k_1$ and $k_2$, respectively, are stretched by the same force, it is found that more work is done on spring $S_1$ than on spring $S_2$.
Statement $-1$: If stretched by the same amount, work done on $S_1$, will be more than that on $S_2$
Statement $-2$ : $k_1 < k_2$.
This question has Statement $-1$ and Statement $-2$. Of the four choices given after the statements, choose the one that best describes the two statements.
If two springs $S_1$ and $S_2$ of force constants $k_1$ and $k_2$, respectively, are stretched by the same force, it is found that more work is done on spring $S_1$ than on spring $S_2$.
Statement $-1$: If stretched by the same amount, work done on $S_1$, will be more than that on $S_2$
Statement $-2$ : $k_1 < k_2$.
As shown in figure, two blocks are connected with a light spring. When spring was at its natural length, velocities are given to them as shown in figure. Choose the wrong alternative.
As shown in figure, two blocks are connected with a light spring. When spring was at its natural length, velocities are given to them as shown in figure. Choose the wrong alternative.
A mass of $0.5\,kg$ moving with a speed of $1.5 \,m/s$ on a horizontal smooth surface, collides with a nearly weightless spring of force constant $k = 50\;N/m$. The maximum compression of the spring would be ............. $\mathrm{m}$
A mass of $0.5\,kg$ moving with a speed of $1.5 \,m/s$ on a horizontal smooth surface, collides with a nearly weightless spring of force constant $k = 50\;N/m$. The maximum compression of the spring would be ............. $\mathrm{m}$
- [AIPMT 2004]
When a spring is stretched by $2\,\, cm$ , it stores $100\,\, J$ of energy. If it is stretched further by $2\,\, cm$ , the stored energy will be increased by ............. $\mathrm{J}$
When a spring is stretched by $2\,\, cm$ , it stores $100\,\, J$ of energy. If it is stretched further by $2\,\, cm$ , the stored energy will be increased by ............. $\mathrm{J}$
$A$ small block of mass $m$ is placed on $a$ wedge of mass $M$ as shown, which is initially at rest. All the surfaces are frictionless . The spring attached to the other end of wedge has force constant $k$. If $a'$ is the acceleration of $m$ relative to the wedge as it starts coming down and $A$ is the acceleration acquired by the wedge as the block starts coming down, then
$A$ small block of mass $m$ is placed on $a$ wedge of mass $M$ as shown, which is initially at rest. All the surfaces are frictionless . The spring attached to the other end of wedge has force constant $k$. If $a'$ is the acceleration of $m$ relative to the wedge as it starts coming down and $A$ is the acceleration acquired by the wedge as the block starts coming down, then