K, + , - U, + W - K, + Ug+ Uy Hand not in system + AEdem 5. The cart starts at rest but is moving rapidly when released by the hand, and is about to crush a piec of chalk.

A stationary 2.17-kg object is struck by a stick. The object experiences a horizontal force given by F = at - bt 2, where t is the time in seconds from the instant the stick first contacts the object. If a = 1,500,000 N/s and b = 20,000,000 N/s?, what is the speed of the object just after it comes away from the stick at t = 2.55 x 103 s? %3D

rough surfice Smath swace leeeeed 2.50m he 3.00m E; Ei + WNc A 34.2 kg block slides with a velocity of 10.22 m/s to the right on a frictionless surface (as shown in the figure above). The block slides up a slope to a height of 3.00 m and then slides across a 2.50 m long rough surface with a coefficient of kinetic friction equal to 0.325. The block continues to travel to the right and bumps into a massless spring with a spring constant (k) equal to 2320 N/m. a) How much does the spring get compressed by the block with respect to its equilibrium length? Please answer with a positive number in units of metres, with 3 sig figs. Start with conservation of energy: E, = E; + WNC , and show all steps. b) What is the potential energy stored by the spring when the mass comes to a stop? Please show the symbolic equation and then "plug in the numbers" to give a numerical answer in units of joules with 3 sig figs. c) What happens to the potential energy stored in the spring after the block stops…

2D Explosion For Cons of Mom.png At peak after explosion | V31 = (V3,)î %3D m3 = 0.3 kg At peak before explosion m2 0.7 kg (Vix)& V21 = (V2,)î m, = 1.0 kg %3D V = (50.0 m/s)v, V11 =-(10.0 m/s)f %3D 1,f 40° Launch A projectile of mass 2.0 kg is fired in the air as shown. The projectile is shown at three points in its trajectory. At the highest point in its flight, the projectile breaks into three parts with masses as shown and velocities immediately after the break-up. Calculate all of the missing velocities, in m/s: Initial velocity before break up (Vi,x): Blank 1 Velocity of mass 3 (V3, f): Blank 2 Velocity of mass 2 (v2,f): Blank 3 What is the range of mass 2 from the launch point (need to calculate the height of projectile before break up): Blank 4 Ignore any effects due to air resistance and enter all answers to ONE DECIMAL PLACE, regardless of sig fig rules. Blank 1 Add your answer Blank 2 Add your answer Blank 3 Add your answer Blank 4 Add your answer

1. A 32.00kg child runs with a speed of 6.00m and jumps onto a 20.00kg sled initially at rest on a flat bed of snow (no friction). What is the resultant speed of the child and sled after the child is atop the sled? S m S 2. The child-sled combo travel at velocity 12.00 and collide with a large snow bank, coming to rest after a 0.37s collision. What is the magnitude of the average force exerted on the child-sled combo by the snow bank during the collision? O 1037.84 N 518.59 N 1686.49 N 648.65 N m S

A trap-jaw ant snaps its mandibles shut at very high speed, a good trait for catching small prey. But an ant can also slam its mandibles into the ground; the resulting force can launch the ant into the air for a quick escape. A 12 mgmg ant hits the ground with an average force of 47 mNmN for a time of 0.13 msms; these are all typical values.