A 150g bird goes into a dive, reaching a kinetic energy of 30.0 J . What is the speed of the bird?
The kinetic energy (KE) of an object is given by the equation KE = 0.5 * mass * velocity^2.
Let's rearrange the equation to solve for velocity:
KE = 0.5 * mass * velocity^2
Divide both sides by 0.5 * mass:
KE / (0.5 * mass) = velocity^2
Take the square root of both sides:
√(KE / (0.5 * mass)) = velocity
Plugging in the given values:
mass = 150g = 0.15 kg (since 1 kg = 1000 g)
KE = 30.0 J
velocity = √(30.0 J / (0.5 * 0.15 kg))
velocity = √(60 J / 0.15 kg)
velocity = √400 m^2/s^2
velocity = 20 m/s
Therefore, the speed of the bird is 20 m/s.