The speed of the object is 31.7 m/s
Explanation:
The momentum of an object is given by:
[tex]p=mv[/tex]
where
p is the momentum
m is the mass
v is the velocity of the object
For the object in this problem:
m = 2.4 kg is its mass
p = 76 kg m/s is the momentum
Solving for v, we find the velocity:
[tex]v=\frac{p}{m}=\frac{76}{2.4}=31.7 m/s[/tex]
And since the speed is the magnitude of the velocity, the speed is 31.7 m/s.
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