In: Physics
A 0.600 kg block is attached to a spring with spring constant 18.0 N/m . While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 40.0 cm/s . What is the block's speed at the point where x= 0.550 A?
Mass of bloc m = 0.6 kg
Spring constant k = 18 N/m
Speed V = 40 cm/s
A = 0.4
m/s
-------------( 1)
Displacment x = 0.55 A
The block's speed at the point where x= 0.550 A is v = [A
2 - x 2 ]
= [A
2 -(0.55A) 2]
= [A
2 -0.3025 A 2]
= [0.6975 A
2]
= (0.8351 A)
= 0.8351 A
= 0.8351 (0.4 m/s) Since from equation(1)
= 0.334 m/s
= 33.4 cm/s