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A small block is connected to one end of a massless spring of un-stretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and released from rest at t = 0. It then executes simple harmonic motion with angular frequency ? = p/3 rad/s. Simultaneously at t = 0, a small pebble is projected with speed v form point P at an angle of 45 0 as shown in the figure. Point P is at a horizontal distance of 10 m from O. If the pebble hits the block at t = 1 s, the value of v is (take g = 10 m/s 2) ?

A small block is connected to one end of a massless spring of un-stretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and released from rest at t = 0. It then executes simple harmonic motion with angular frequency ? = p/3 rad/s. Simultaneously at t = 0, a small pebble is projected with speed v form point P at an angle of 45 0 as shown in the figure. Point P is at a horizontal distance of 10 m from O. If the pebble hits the block at t = 1 s, the value of v is (take g = 10 m/s 2) ?

Grade:11

2 Answers

Arun
25763 Points
one year ago
Dear Jayant
 
Please check as there rae no image attached. Please attach an image. I will be happy to help you.
Vikas TU
14149 Points
one year ago
Time of flight for projectile
T=2usinθ/g=1sec
2usin45/g=1sec
u=g/√2
u=√50 m/s...................................................................................

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