Answer:
v = 2.2 * 10^(-24) m/s
Explanation:
Momentum is given in terms of wavelength as:
p = h/λ
Where h is Planck's constant = 6.626 * 10^(-34) kgm²/s
Hence, momentum will be:
p = 6.626 * 10^(-34) / (5.4 * 10^3 * 10^(-10)
p = 1.23 * 10^(-27) kgm/s
For a 56.7 g ball to have the same wavelength as green light, they must have the same momentum.
Momentum is given in terms of mass as:
p = m*v
p = 0.0567 * v
1.23 * 10^(-27) = 0.0567 * v
v = 1.23 * 10^(-27) / 0.0567
v = 2.2 * 10^(-24) m/s
Hence, it would have to move at a speed of 2.2 * 10^(-24) m/s to have the same wavelength.