A two-stage rocket is traveling at 1210m/s with respect to the earth when the fi

Question

A two-stage rocket is traveling at 1210m/s with respect to the earth when the first stage runs out of fuel. Explosive bolts release the first stage and push it backward with a speed of 40m/s relative to the second stage after the explosion. The first stage is three times as massive as the second. What is the speed of the second stage after the separation???

(2). The air-track carts in the figure(Figure 1) are sliding to the right at 1.0 m/s. The spring between them has a spring constant of 140 N/m and is compressed 4.4 cm. The carts slide past a flame that burns through the string holding them together..What is the speed of 100-g cart?What is the speed of 300-g cart?

Explanation / Answer

Let the second stage has mass M

The total mass of two stages is 4M

Relativ e velocity is 40 m/s

second stage must have received most of the velocity change =( 3/4 ) * 40 = 30 m/s

the overall velocity of the second stage is 1210 + 30 = 1240 m/s

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