1. A 500 N shear beat back is applied to one face of a cube of aluminum measuring 10 cm on each side. What is the shift of that face relative to the opposite face? [Shear modulus for aluminium is 2.5 ? 1010 Nm-2 ] 2. A rectangular block of gelatin of length, width and height of 10 cm, 8.0 cm and 4.0 cm, respectively, is subjected to a 0.40 N shear force on its upper surface. If the top surface is displaced 0.30 mm relative to the butt end surface, what is the shear modulus of the gelatin? 3. The nucleus of an atom has a stack of 3.8 ? 10-25 kg and is at rest. The nucleus is radioactive and suddenly ejects a particle of batch 6.6 ? 10-27 kg at a repair of 1.5 ? 107 ms-1. Find the recoil speed of the nucleus that is left behind. 4. A baseball, of mass 0.20 kg, is pitched at 40 ms-1 and is hit at once back at the pitcher at 90 ms-1. go in the positive x-axis points toward the pitcher. (a) Find the impulse exerted by the bat on the ball (b) If the ball is in contact with the bat for 0.0035 s, meet the average force exerted on the ball
v 3 kg 15 g 10 cm
5.
As shown in the realise above, a 1.5 g bullet is fired horizontally into a 3 kg block of wood suspended by a long cord. The bullet is then embedded in the block. Compute the velocity of the bullet if the impact causes the block to embroil 10 cm above its initial level. 6. A proton of mass 1.66 ? 10-27 kg collides head-on with a helium atom at rest. The helium atom has a mass of 6.64 ? 10-27 kg and recoils with a speed of 5 ? 105 ms-1. If the collision is elastic, what are the initial and final speeds of the proton?
Izz (2011/2012) Dynamics of a System of Particles
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