Answer: To determine the speed at which the object is moving, we need to use the equation for kinetic energy:
Kinetic energy (KE) = (1/2) * mass * velocity^2
Given that the object has a kinetic energy of 23 J and a mass of 59 kg, we can rearrange the equation to solve for velocity:
23 J = (1/2) * 59 kg * velocity^2
To isolate velocity, we need to get rid of the fraction and the square. We can start by multiplying both sides of the equation by 2:
46 J = 59 kg * velocity^2
Next, divide both sides of the equation by 59 kg to isolate velocity^2:
(46 J) / (59 kg) = velocity^2
Simplifying the equation gives us:
0.779 J/kg = velocity^2
To solve for velocity, we need to take the square root of both sides of the equation:
√(0.779 J/kg) = √(velocity^2)
The square root of 0.779 J/kg is approximately 0.881 m/s. Thus, the object is moving at a speed of approximately 0.881 m/s
Explanation: