An object at rest suddenly explodes into three parts of equal mass. Two of the parts move

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An object at rest suddenly explodes into three parts of equal mass. Two of the parts move away at right angles to each other and with equal speeds v. What is the velocity of the third part just after the explosion?

(a) Direction of vector 1 and magnitude 2v
(b) Direction of vector 2 and magnitude √2v
(c) Direction of vector 3 and magnitude

(d) Direction of vector 2 and magnitude

(e) Direction of vector 1 and magnitude

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