A neutron collides elastically with a helium nucleus (at rest initially) whose mass is four times that of the neutron. The helium nucleus is observed to move off at an angle θ'2 = 45° from the neutron's initial direction. The neutron's initial speed is 7.0 × 105 m/s. a) Determine the angle of the neutron, θ'1, measured from its initial direction. _____° b) What is the speed of the neutron, vn', after the collision? _____m/s c) What is the speed of the helium nucleus, vHe', after the collision? _____m/s x direction: m1*7.0x10^5+0=m1*v1'*Cosθn+4*m1*v2'*Cos45 y direction: 0=-m1*v1'*Sinθn+4*m1*v2'*Sin45 Change in KE: 1/2*m1*(7.0x10^5)^2=1/2*m1*v1'^2+1/2*4*m1*v2'^2 I know mass cancels and I need to do algebra to figure out the answer, but I am having trouble doing the algebra with so many unknowns. Can anyone lend me a helping hand?