Question

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a) A sticky projectile collides horizontally with a stationary block on a horizontal surface. The collision is perfectly inelastic and the block slides 7.5 m before stopping. The mass of the projectile is 12.0 g, the block's mass is 100g, and the coefficient of friction between the block and the surface is 0.65. What was the projectile's speed before impact?

b) A stationary unstable nucleus of mass 17.0 x 10^-27 kg disintegrates into three particles. Particle 1 of mass 5.0 x 10^-27 kg moves at a velocity of 6.0 x 10^6 m/s in the y-direction. Particle 2 of mass 8.4 x 10^-27 kg moves at a velocity of 4.0 x 10^6 m/s in the x-direction.

- What is the velocity of particle 3?

- What is the total kinetic energy increase as a result of the process?

Answer 1

(a)

(Conservation of linear momentum)

(Projectile's speed before impact)

(b)

(Conservation of linear momentum in the x-direction).......................(I)

  (Conservation of linear momentum in the y-direction).......................(II)

( From (I))

  

( From (II))

( 41.76 degrees anticlockwise from the negative y-axis)