Calculate the mass of the planet. (10 points) (G = 6.67 × 10-nNm2/kg.) Problem 6

Question

Calculate the mass of the planet. (10 points) (G = 6.67 × 10-nNm2/kg.) Problem 6-Collisions A bullet of mass m 4.549 is shot horizontally into a block of wood of mass M 2.41 kg. The block of wood is initially at rest ou a lat surface. The coefficient of kinetic frictiou betwcon the block and the surface is .= 0.210. The bullet enters into the block. The bullet remains in the block. This block moves a distance of d = 1.83 m before stopping. a) Calcuiate the velocity of the block immediately after it is hit by the bullet. (5 points) b) What was the inital velocity of the bullet? (10 points)

Explanation / Answer

speed of block after bullet comes to rest ,

1/2 ( M + m )V^2= ( M + m ) g x

1/2 V^2= g x

0.5 * V^2 = 0.21 * 9.8 * 1.83

V = 2.74 m /s

From law of conservation of momeutm ;

4.54 x 10-3 * v = ( 4.54 x 10-3 + 2.41 ) * 2.74

v = 1457.23 m /s

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