A gun fires a bullet vertically into a 1.40-kg block of wood at rest on a thin h

ID: 1366435 • Letter: A

Question

A gun fires a bullet vertically into a 1.40-kg block of wood at rest on a thin horizontal sheet. (Figure 1)

Part A

If the bullet has a mass of 27.8 g and a speed of 230 m/s , how high will the block rise into the air after the bullet becomes embedded in it?

Express your answer to three significant figures and include the appropriate units.

Figure 1 of 1

A gun fires a bullet vertically into a 1.40-kg block of wood at rest on a thin horizontal sheet. (Figure 1)

Part A

If the bullet has a mass of 27.8 g and a speed of 230 m/s , how high will the block rise into the air after the bullet becomes embedded in it?

Express your answer to three significant figures and include the appropriate units.

hmax =

Figure 1 of 1

let V be the speed of the bullet and block after collision

then Apply law of conservation of momentum

m1*u1 = (m1+m2)*V

0.0278*230 = (0.0278+1.4)*V

V = 4.47 m/s

hmax = v^2/(2*g) = 4.47*4.47/(2*9.81) = 1.022 m

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