Answer: The correct answers are 482.4 m/s and 21.96 kg.
Explanation:
The expression for the kinetic energy in terms of momentum of an object is as follows;
[tex]KE=\frac{p^{2} }{2m}[/tex]
Here, KE is the kinetic energy, p is the momentum and m is the mass of the object.
It is given in the problem that an object has a kinetic energy of 275 j and a momentum of magnitude 25.0 kg · m/s.
Calculate the mass of the object.
[tex]KE=\frac{p^{2} }{2m}[/tex]
Put p=25.0 kg · m/s and KE= 275 J.
[tex]m=\frac{25^{2} }{2(275)}[/tex]
[tex]m=1.14 kg[/tex]
Calculate the speed of the object.
[tex]KE=\frac{1}{2} mv^{2}[/tex]
Put m= 1.14 kg and KE= 275 J.
[tex]v=\sqrt{\frac{2(275)}{1.14} }[/tex]
v=21.96 m/s
Therefore, the speed of the object is 21.96 m/s and the mass of the object is 1.14 kg.
