Two blocks, A and B (with mass 45 kg and 120 kg, respectively), are connected by a string, as shown in the figure below. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between block A and the incline is μk = 0.26. Determine the change in the kinetic energy of block A as it moves from to, a distance of 15 m up the incline (and block B drops downward a distance of 15 m) if the system starts from rest. × J 37° B

You are working for the Highway Department. In mountainous regions, highways sometimes include a runaway truck ramp, and you are asked to help with the design of such a ramp. A runaway truck ramp is often a lane of gravel adjacent to a long downhill section of roadway where trucks with failing brakes may need assistance to stop. Working with your supervisor, you develop a worst-case scenario: a truck with a mass of 6.00 × 104 kg enters a runaway truck lane traveling at 34.1 m/s. Assume that the maximum constant value for safe acceleration of the truck is -5.00 m/s². Any higher magnitude of acceleration increases the likelihood that semi-trailer rigs could jackknife. Your supervisor asks you to advise her on the required length (in m) of a runaway truck lane on a flat section of ground next to the roadway. m

A large cruise ship of mass 6.20 × 107 kg has a speed of 10.2 m/s at some instant. (a) What is the ship's kinetic energy at this time? ] (b) How much work is required to stop it? (Give the work done on the ship. Include the sign of the value in your answer.) ] (c) What is the magnitude of the constant force required to stop it as it undergoes a displacement of 3.10 km? N

A 7.80 g bullet is initially moving at 660 m/s just before it penetrates a block of wood to a depth of 6.20 cm. (a) What is the magnitude of the average frictional force (in N) that is exerted on the bullet while it is moving through the block of wood? Use work and energy considerations to obtain your answer. N (b) Assuming the frictional force is constant, how much time (in s) elapses between the moment the bullet enters the block of wood and the moment it stops moving? S

Please don't use Chatgpt will upvote and give handwritten solution

Two blocks, A and B (with mass 45 kg and 120 kg, respectively), are connected by a string, as shown in the figure below. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between block A and the incline is μk = 0.26. Determine the change in the kinetic energy of block A as it moves from to ①, a distance of 15 m up the incline (and block B drops downward a distance of 15 m) if the system starts from rest. ] 37° A © B

A skateboarder with his board can be modeled as a particle of mass 80.0 kg, located at his center of mass. As shown in the figure below, the skateboarder starts from rest in a crouching position at one lip of a half-pipe (point). On his descent, the skateboarder moves without friction so that his center of mass moves through one quarter of a circle of radius 6.20 m. i (a) Find his speed at the bottom of the half-pipe (point Ⓡ). m/s (b) Immediately after passing point Ⓑ, he stands up and raises his arms, lifting his center of mass and essentially "pumping" energy into the system. Next, the skateboarder glides upward with his center of mass moving in a quarter circle of radius 5.71 m, reaching point D. As he passes through point ①, the speed of the skateboarder is 5.37 m/s. How much chemical potential energy in the body of the skateboarder was converted to mechanical energy when he stood up at point Ⓑ? ] (c) How high above point ① does he rise? m

A 31.0-kg child on a 3.00-m-long swing is released from rest when the ropes of the swing make an angle of 29.0° with the vertical. (a) Neglecting friction, find the child's speed at the lowest position. m/s (b) If the actual speed of the child at the lowest position is 2.40 m/s, what is the mechanical energy lost due to friction? ]

A force acting on a particle moving in the xy plane is given by F = (2yî + x²), where F is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 5.60 m and y = 5.60 m, as shown in the figure below. y (m) B (x, y) x (m) (a) Calculate the work done by F on the particle as it moves along the purple path (0 Ⓐ©). ] (b) Calculate the work done by ♬ on the particle as it moves along the red path (0 BC). J (c) Is F conservative or nonconservative? ○ conservative nonconservative