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T2. Two protons are fired at 3.5 x 10 m/s directly at each other. Calculate the smallest possible distance between the two protons, if the

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T2. Two protons are fired at 3.5 x 10" m/s directly at each other. Calculate the smallest possible distance between the two protons, if the initial distance between them was infinity. Mass of a proton is 1.673x1027 kg and charge on a proton is 1.602x10"C. [5 points] T3. Two planetoids with radii R, and R2 and local accelerations g, and gz are separated by a centre-to-centre distance D, and are members of a simple two-body system. A rocket is located on planetoid 1 and is scheduled to launch from this planetoid to a point between the planetoids where the net gravitational force on the rocket by the two planetoids is zero. At what distance from the centre of planetoid 1 is the zero gravitational point? Choose R, = 1400m, R2 = 1000m, g, = 7.5m/s', 92 = 5.3m/s' and D = 4800m. [5 points]A2. Two light spheres each of mass 2.0g are suspended by light strings 10cm in length. A uniform electric field | E| = 4.42 x 10 N/C is applied in the horizontal direction. The charges on the spheres are equal and opposite. For what charge values will the spheres be in equilibrium at an angle 0 = 10? [5 points] +

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