Question

. A 2.00kg block is moved from point A (at rest) a distance of 2.00 m to point B under the action of a variable force F(x) 10x + 6x2. Once in point B it is moving down 1.00 m through an 60.00 inclined frictionless surface until hit a spring (point C) as shown in figure. (The coefficient of kinetic friction between the block and the surface between A and B is 0.3 and the spring constant equal to 400 N/m). a) Calculate the total work done by the variable force F, and the friction force from point A to B b) Calculate the speed of the block at point B c) Calculate the potential energy of the block ant point B. d) After the block hit the spring, how much the spring is compressed? (Consider the surface under the spring frictionless)? 2. A 1 .5 kg block slides down an inclined ramp with μ-0.4. If the ramp angle is 17.0° and the length of it is 30.0 m, assuming it started sliding at 5 m/s. Find the speed of the block as it reaches the end of the ramp a- b- a- A3kg block is pushed against a spring with negligible mass and force constant k 4500 N/m, compressing it 0.220 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 370. How far does the block travel up the incline before starting to slide back down? . A 0.500 kg metal ball impact a 20.0kg metal block resting on a horizontal surface. The coefficient of a- b- c- d- kinetic friction between block and surface is 0.20. After the impact, the ball rebounds with a speed equal to 0.200 m/s, and produces a displacement of the block of 0.50 m measured from the position of the impact. What was the speed of the block just after the ball impact? What was the initial speed of the ball? What kind of collision took place during the impact? Explain. Calculate the impulse of the block from the moment just affer the impact to his final position

Answer 1

Solution for first four subparts of problem 1.