The kinetic energy (KE) of an object can be calculated using the formula:
KE = (1/2) * m * v^2
Where: KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.
In this case, we are given that the mass (m) is 40g and the kinetic energy (KE) is 600J. We need to solve for the velocity (v).
First, let's convert the mass from grams to kilograms: 40g = 40/1000 kg = 0.04 kg
Now, we can rearrange the kinetic energy formula to solve for v:
KE = (1/2) * m * v^2 600 = (1/2) * 0.04 * v^2 Divide both sides by (1/2) * 0.04 to isolate v^2: v^2 = (600) / ((1/2) * 0.04) v^2 = 600 / 0.02 v^2 = 30000 Taking the square root of both sides: v = √30000 v ≈ 173.21 m/s
Therefore, the velocity of the object is approximately 173.21 m/s.