Note: Make sure your calculator is in radian mode for this problem, and that you switch it back after this problem. There are two particles (1 and 2) that are moving around in space. The force that particle 2 exerts on 1 is given by: F₁(t)= F₂e (t/T) 1 + Fy sin(2t/T) 3 Where the parameters have the values: F₂ = 16.8 N, F, = -106 N, T = 100 s. We will consider a time interval that begins at t;=0s and ends at t = 243 s. Impulse from 2 on 1, z Impulse from 2 on 1, y Impulse from 1 on 2 V

6) Consider an atomic nucleus that's moving at a speed of 500m/s. This nucleus emits an alpha particle (=nucleus of a Helium atom) in the direction of its velocity, and the new nucleus (produced by the emission of the alpha particle) slows to 450m/s. If the alpha particle has a mass of 4u and the original nucleus has a mass of 208u, what speed does the alpha particle have when it is emitted? (Here u is the atomic mass unit. You could take for u the value of the proton mass, i.e. u= m, = 1.67 × 10-27kg.)

18. A body of mass m has a kinetic energy E. Its momentum is: choose an answer A B C D E 0 √(2E/m) √(2mE) √(E/2m) 2E/m

Particle A has mass m and moves directly to the right with speed v > 0. Particle B has one fourth the mass of Particle A and moves directly to the right with twice the speed of Particle A. Which of the following statements are true? (Pick two.) Particle A has greater momentum than Particle B. Particle B has greater momentum than Particle A. Both particles have the same momentum. Particle A has greater kinetic energy than Particle B. Particle B has greater kinetic energy than Particle A. Both particles have the same kinetic energy.

An unstable atomic nucleus of mass 1.50 x 10 26 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.10 x 10 27 kg, moves in the y direction with a speed of 6.00 x 106 m/s. Another particle, of mass 8.50 x 10 27 kg, moves in the x direction with a speed of 4.00 x 106 m/s. (a) Find the velocity of the third particle. |î) m/s (b) Find the total kinetic energy increase in the process.

Two balls are about to collide. Ball 1 has a mass of 10kg, and is moving [down] at an unknown speed. Ball 2 is 11kg and is moving [up] at a speed of 6m/s. After they collide, ball 1 moves with a velocity of 8m/s [60° Up of right]. Ball 2 moves with an unknown velocity [55° down of left]. An image has been added to help picture the situation. What is the initial velocity of ball 1? 260° 59 5.1m/s [down] 5.38m/s [down] O 6.34m/s [down] O 6.9m/s [down]

An unstable atomic nucleus of mass 1.84 10 - 26 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.06 10 - 27 kg, moves in the y direction with a speed of 6.00 106 m/s. Another particle, of mass 8.50 10 - 27 kg, moves in the x direction with a speed of 4.00 106 m/s. (a) Find the velocity of the third particle (b) Find the total kinetic energy increase in the process.

An unstable nucleus of mass 1.7x10-26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.8x10-27 kg, moves in the positive y-direction with speed v1 = 5.2x106 m/s. Another particle, of mass m2 = 8.0x10-27 kg, moves in the positive x-direction with speed v2 = 3.6x106 m/s. Find the magnitude and direction of the velocity of the third particle. (Assume that the +x-axis is to the right and the y-axis is up along the page.) magnitude          m/s direction         ° I know that the direction is 198.97, I keep getting my magnitude wrong. Help me find the magnitude