Speed of heavier fragment after rocket explosion at 2.0 s

[kramerbaggins]

Homework Statement

A 1500 kg weather rocket accelerates upward at 10m/s^2. It explodes 2.0 s after liftoff and breaks into two fragments, one twice as massive as the other. Photos reveal that the lighter fragment traveled straight up and reached a maximum height of 530 m.

That is the problem.

What was the speed of the heavier fragment just after the explosion?

That is the question.

I solved and got 20.96 m/s. It gives me this error:

You are close. You may have made a rounding error or used the wrong number of significant figures.

Homework Equations

Using the 10m/s^2 * 2s, i got the v_i to be 20 m/s, p_i then is 30000 kg*m/s.

p_f is 1000*v_f_1 + 500*v_f_2

Used v_f^2 = v_i^2 + 2*a*s on the smaller mass fragment. Used v_f = 0, a = -9.8, s given in problem. Solved for v_i. This v_i is the inital velocity of the fragment, aka its velocity at the end of the explosion.

Set 30000 = 1000*v_f_1 + 500*v_f_2, using v_f_2 from dynamics equation work above. solved for v_f_1.

The Attempt at a Solution

 

[Tedjn]

At a glance, your work seems to be correct. One possibility, as it says, is that you are using the wrong number of significant figures. You have 4, how many appear in the numbers in the problem?

 

[kramerbaggins]

Well Mastering Physics really doesn't care how many are in your answer as long as it is within like .05 or so. I ahve tried two different answer very close to 21, but still nothing

 

[kramerbaggins]

Ive tried from 20.8-21.0, but still wrong. It is from 20-22 I am assuming, but idk