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An astronaut whose mass is 80 kilograms is standing in a rocket. The rocket is at a point in free space where there is no net gravitational attraction force and begins to accelerate upward at 4.5 meters per second squared. What is the magnitude of the force the floor exerts on the astronaut? a A 44-kilogram block rests on a level frictionless surface. At / = 0 seconds a constant horizontal force of 176 newtons is 176 N applied to the block to give it an acceleration to the right, as 44 kg shown. Find the speed of the block at 1 = 9.0 seconds. 3. The graph shows the position as a function of time for a particle *X ( 1) = 213 - 712 - 20 moving along the .Y axis. The path of the particle is described by the equation x(1) = 2 - 72 + 20. Use calculus to find the instantaneous velocity of the particle at / = 3.0 seconds. x position in meters 0 1 2 3 4 5 Time in seconds 4. A block whose mass is 28 kg is placed on a frictionless plane that is inclined 41 to the horizontal, as shown. Find the acceleration 28 kg of the block down the plane. 41 5. A block of mass 32.0 ke is placed at the top of a frictionless plane that is inclined 42 to the horizontal. The height of the plane is 12.0 meters. as shown. Find the speed of the block at the bottom of the plane. 12.0 m 420