5. Nuclear radioactivity is process by which unstable atomic nuclei split into more stable components. We have an unstable nuclei of mass 17.0 x 10-27 kg, initially at rest, disintegrates into three particles. One of these particles, of mass 5.00 x 10-27 kg, moves along the positive y axis with a speed of 6.00 x 106 m/s. Another particle of mass 8.40 x 10-27 kg, moves along the positive x axis with a speed of 4.00 x 106 m/s. Determine the third particle's speed and direction of motion. (1.25 x 10² m/s at 222° from +x-axis)

A man walks up to you and hands you an energy drink with mass 0.4 kg. You decide energy drinks aren't for you and throw it on the ground. At the moment the energy drink leaves your hand, it is moving downwards with a speed of 7 m/s and is 1 meter above the ground. Calculate the speed of the energy drink in m/s just before it impacts the ground. As before, assume g = 10 m/s^2. You may neglect air friction. Round your answer to one decimal place.

2. In a scifi movie about astronauts on a space station, one of the astronaut's safety line is cut while on a space walk. The astronaut, who 10 meters from the shuttle and is moving 0.1 m/s away from it, finds that the suit's thruster pack has also been damaged and no longer works and that only 30 seconds of air remains. To get back to the shuttle, the astronaut unstraps a 10-kg tool kit and throws it away with a speed of 5 m/s. In the scene, the astronaut, who has a mass of 100 kg without the toolkit, survives. Is this reasonable?

5. What is the momentum (as a function of time) of a 5.0-kg particle moving with a velocity (v¯ (t) = 2.0i + 4.0tj) m/s? What is the net force acting on this particle?

3. Two asteroids collide and stick together. The first asteroid has mass of 15 × 10³ kg and is initially moving at 770 m/s. The second asteroid has mass of 20 × 10³ kg and is moving at 1020 m/s. Their initial velocities made an angle of 20° with respect to each other. What is the final speed and direction with respect to the velocity of the first asteroid? How much thermal energy is generated in the collision?

1.A plate drops onto a smooth floor and shatters into three pieces of equal mass. Two of the pieces go off with equal speeds v at right angles to one another. Find the speed and direction of the third piece. Explain and labled the problem.

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

For a system of three particles moving along a line, an observer in a laboratory measures the following masses and velocities. What is the velocity of the CM of the system? Enter a positive value if the velocity of the CM of the system is in the +x direction and enter a negative value if the velocity of the CM of the system is in the -x direction. Mass (kg) Vx (m/s) 4.00 230 5.0 -120 2.0 +52 m/s