8-16 certain coil spring, is found to stretch the spring 10 cm. lump of putty of

Question

8-16

certain coil spring, is found to stretch the spring 10 cm. lump of putty of mass 200 g is dropped from rest onto the frame from a height of 30 cm (Fig. 8-13). Find the maximum distance the frame moves downward. A Fig. 8-13 8-3 elas Finc velo 8-16 A rifße bullet of mass 0.01 kg strikes and embeds itself in a block of mass 0.99 kg which rests on a horizontal frictionless surface and 'is attached to a coil spring, as shown in Fig. 8-14. The impact compresses the spring 10 cm. Calibration of the spring shows that a force of 1.0 N is required to compress the spring 1 cm. a) Find the maximum potential energy of the spring. 8-32 B h com relea is no after 0.5 n comp b) Find the velocity of the block just after the impact. c) What was the initial velocity of the bullet? 90 Fig. 8-14 -10 cm- 8-25 A jet of liquid of cross-sectional area A and density moves with speed u, in the positive-X-direction and impinges against a perfectly smooth blade B which deflects the stream at right angles but does not slow it down, as 8-36 nucleu energy the co shown in Fig. 8-15. a) If the blade is stationary, prove that the rate of arrival of mass at the blade is m/. = AUj. b) If the impulse-momentum theorem is applied to a small mass m, prove that the x-component of the force acting on this mass for the time interval t s givern by Ar c) Prove that the steady force exerted on the blade in the

Explanation / Answer

8-16) F = kx

1 = k*0.1

k = 10 N/m

a) Maximum PE = 0.5kx^2

= 0.5*10*0.1^2 = 0.05 J

b) velocity of the block

0.5mv^2 = 0.05

0.5*1*v^2 = 0.05

v = 0.316 m/s

c) by the conservation of momentum we have

mu = (M +m ) V

0.01*u = (1)*0.316

u = 31.62 m/s

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