To calculate the kinetic energy of an arrow, we need to know its mass and velocity. Given that the arrow's mass is 126 g, and its velocity is 88 m/s we can use the formula:
kinetic energy = 1/2 * mass * velocity^2
First, we have to convert the mass of the arrow from grams to kilograms, as the formula requires units in kilograms.
1 kg = 1000 g
126 g = 126/1000 kg = 0.126 kg
Then we can substitute the values into the formula:
kinetic energy = 1/2 * 0.126 kg * (88 m/s)^2
kinetic energy = 1/2 * 0.126 * 7744 m^2/s^2
kinetic energy = 468.3 J (joules)
So the kinetic energy of the arrow is 468.3 J. Kinetic energy is a scalar quantity and it represents the energy of motion of an object. In this case, the energy possessed by the arrow due to its motion.