The relevant equation is for kinetic energy, which is 0.5mv^2. Using your numbers that's about 4.5E+7 Joules, or the energy of about 10kG of TNT exploding. That will certainly make a dent, and your space ship won't survive many of those.
I was thinking v would be more like 10% of c, which would mean about 1000kG (1 kiloton) of TNT, or about 1/20 of the energy of the Hiroshima atomic bomb. From a particle of dust weighing 10mG. You'd be toast.
I was thinking v would be more like 10% of c, which would mean about 1000kG (1 kiloton) of TNT, or about 1/20 of the energy of the Hiroshima atomic bomb. From a particle of dust weighing 10mG. You'd be toast.