Answer:
F = 15.75 N
Explanation:
given,
radius of copper ball = 3.50 cm = 0.035 m
constant speed = 6 cm/s = 0.06 m/s
proportionality constant = 0.950 Kg/s
mass of the ball
m = ρ V
[tex]V = \dfrac{4}{3}\pi r^3[/tex]
now, net force acting
F = m g + k v
where k is the proportionality constant.
[tex]F = \dfrac{4}{3}\pi r^3 \rho g + k v[/tex]
[tex]F = \dfrac{4}{3}\pi \times 0.035^3(8.92 \times 10^{3})\times 9.8 +0.950 \times 0.06[/tex]
where density of cooper ball = ρ = 8.92 x 10³ kg/m³
F = 15.75 N