A body of mass 1 kg falls freely from lens of 100 m on a platform of mass 3 kg which is mounted on a spring having spring constant K=1.25×106 N/m. The body sticks to the platform and the spring’s maximum compression is found to be x. Given that g=10ms−2, the value of x will be close to |
|||
(a) |
4 cm |
(b) |
8 cm |
(c) |
80 cm |
(d) |
40 cm |
A body of mass 1 kg falls freely from lens of 100 m on a platform of mass 3 kg which is mounted on a spring having spring constant K=1.25×106 N/m. The body sticks to the platform and the spring’s maximum compression is found to be x. Given that g=10ms−2, the value of x will be close to |
|||
(a) |
4 cm |
(b) |
8 cm |
(c) |
80 cm |
(d) |
40 cm |
Velocity of 1 kg block just before it collides with 3kg block ==
m/s
Applying momentum conversation just before and just after collision.
1×=4v⇒v=
m/s
Initial compression of spring
1.25×106x0=30⇒x0≈0
applying work energy theorem,
wg + wsp=KE
⇒40×x+×1.25×106(02−x2)
=0−×4×v2
Solving x≈ 4 cm
In a wheatstone bridge(see fig.), resistances P and Q are approximately equal. When R=400 |
|||
(a) |
403.5 ohm |
(b) |
404.5 ohm |
(c) |
401.5 ohm |
(d) |
402.5 ohm |
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