Final answer:
The correct speed at which the 1-kg object has a kinetic energy of 1 J is approximately 1.41 m/s.
Step-by-step explanation:
Kinetic energy is given by the formula KE = 1/2 mv^2, where m is the mass of the object and v is its velocity.
In this question, we have a 1-kg object with a kinetic energy of 1 J. We can substitute these values into the formula to find the velocity:
1 = 1/2 (1) v^2
v^2 = 2
v = √2
v ≈ 1.41 m/s
Therefore, the correct answer is c) 1.4 m/s.