The conservation of linear momentum is one of the most important principles of p

Question

The conservation of linear momentum is one of the most important principles of physics. The law of conservation of momentum stats that if no net external forces act on a system, then, the linear momentum of that system is conserved In an experiment, a 11-g bullet with an initial speed of vo-50 m/s is fired into a 5-kg block at rest on a horizontal frictionless table of height D. The bullet embeds itself in the block and together the bullet/block slide off the table and land at a distance R away from the base of the table. What is the velocity of the bullet/block combination as they leave the table Submit Answer Tries 0/2 How long is the bullet/block combination in the air after they leave the table? None of these V(g/D) 2D/g V(2D/g) Submit AnsTries 0/2 Which of the following graphs best represents the relationship between the bullet's mass and the final speed of the block, after the collision? A. 0 bullet mass bullet mass C. 0 bullet mass bullet mass None of these Submit Answer Tries 0/2

Explanation / Answer

m = mass of bullet = 0.011 kg

M = mass of block = 5 kg

vo = initial velocity of bullet = 50 m/s

V = final velocity of bullet-block combination = ?

using conservation of momentum

mvo = (m + M) V

(0.011) (50) = (0.011 + 5) V

V = 0.11 m/s

consider the motion along Y-direction

Y = D

voy = 0

a = g

t = time in air

using the equation

Y = voy t + (0.5) a t2

D = 0 t + (0.5) g t2

t = sqrt(2D/g)

choice D

increasing either the bullet speed or the height

using lighter bullet mass

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