Pls answer the following questions step by step. Show all the workings. All the relevant information is provided pls just answer the questions as best u could PLEASE PLEASE

A1 1. A low-friction cart with a mass of 0.25 kg travels along a horizontal track and collides head on with a spring that has a spring constant of 155 Nlm. If the spring was compressed by 6.0 cm, how fast was the cart initially travelling? 2. A 70.0 kg person steps through the window of a burning building and drops to a rescue net held 8.00 m below. If the surface of the net is 1.40 m above the ground, what must be the value of the spring constant for the net so that the person just touches the ground when the net stretches downward? 3. A 0.20 kg block is dropped on a vertical spring that has a spring constant of 180 Mm. The block attached to the spring compresses it by 15 cm before momentarily stopping. Determine the height from which the block was dropped. 4. A block with a mass of 2.0 kg is held against a spring with a spring constant of 250 Nlm. The block compresses the spring 22 cm from its equilibrium position. After the block is released, it travels along a frictionless surface and then up a frictionless ramp, as shown. k= 2505901 45F 9-1 H. I\". i (J:_ __@_'[ln___d a. Determine the elastic potential energy stored in the spring before the mass is released. b. Calculate the speed of the block as it travels along the horizontal surface. 0. Determine how far along the ramp the block will travel before it stops. 5. A roller-coaster car is moving as shown. If 3400 J of thermal energy are produced through friction between points A and B, determine the speed of the car at point B. Express your answer to 3 significant digits. m. 1, : gun kg; '\" -- 41m 7\"; lilim (Lil til _i 2. If you pull northward on a spring, in what direction does the spring exert a force on you? 5. A 1.37-kg fish is hung from a vertical spring scale with a force constant of 5.20 X 102 N/m. The spring obeys Hooke's law. (a) By how much does the spring stretch if it stretches slowly to a new equilibrium position? (b) If the fish is attached to the unstretched spring scale and allowed to fall. what is the net force on the fish when it has fallen 1.59 cm? (0) Determine the acceleration of the fish after it has fallen 2.05 cm. 7. Spring scales are designed to measure weight but are sometimes calibrated to indi- cate mass. You are given a spring scale with a force constant of 80.0 Him. (a) Prepare a data table to indicate the stretch that would occur if masses of 1.00 kg. 2.00 kg. and on up to 8.00 kg were suspended from the scale at your location. (b) Draw a scale diagram to show the calibration of the scale if it is set up to measure (i) mass at your location Oi] weight at your location (c) If both springs in [b] were taken to the top of a high mountain. would they give the correct values? Explain. 9. A spring has a force constant of 9.0 X 103 me. What is the elastic potential energy stored in the spring when it is [a] stretched 1.0 cm and (b) compressed 2.0 cm? A3 1. A 1750 kg boxcar is rolling down a track toward a stationary 2000 kg boxcar as shown. When the boxcars collide, they look together and continue down the track. What is the velocity of the two boxcars immediately after the collision? (Hint: they will have the same final velocity since they look together.) _L r=5.45%_.. i=0 2. The two objects shown collide head-on. If the 7.5 kg object has a velocity of -4.5 m/s after the collision, what velocity does the 2.5 kg object have after the collision? 1=6.0m/s 2= 15mfs -g. .4. m. : 2.5 kg 1712 = 7.5 kg 3. A 1400 kg cannon (including the 50 kg ball) is on wheels. The cannon fires the cannon ball, giving it a velocity of 50 m/s[N]. What is the initial velocity of the cannon the instant after it fires the cannon ball? 4. Two objects of masses m and 3m undergo a collision in one dimension. The lighter object is moving at three times the speed of the heavier object. Describe what happens to their speeds after the collision. Explain your reasoning. A3 5. 2. 3. 4. State whetheryou agree or disagree with the following statement: \"The law of conser vation of momentum for a system on which the net force is zero is equivalent to Newton's first law of motion." Give a reason for your answer. You drop a 59.8-g hairbrush toward Earth [mass 5.93 x 102\" kg). (a) What is the direction of the gravitational force exerted by Earth on the hairbrush? (b) What is the direction of the gravitational force exerted by the hairbrush on Earth? (0) How do the forces in (a) and (1)) compare in magnitude? (d) What is the net force on the system consisting of Earth and the hairbrush? (e) What can you conclude about the momentum of this system? (0 If we consider Earth and the hairbrush to be initially stationary, how does Earth move as the hairbrush falls down? (9] If the hairbrush reaches a speed of 10 m/s when it hits Earth nitially stationary). what is Earth's speed at this time? A 45kg student stands on a stationary 33-kg raft. The student then walks with a velocity of 1.9 m/s [E] relative to the water. What is the resulting velocity of the raft. relative to the water, if fluid friction is negligible. Two ice skaters. initially stationary. push each other so that they move in opposite directions. One skater of mass of 56.9 kg has a speed of 3.28 m/s. What is the mass of the other skater if her speed is 3.69 m/s? Neglect friction. A4 1. Two cross-country skiers are skiing as shown. Skier 1 has a mass of 84 kg and skier 2 has a mass of 72 kg. Both skiers have an initial speed of 5.1 mi's. One of the skier forgets to look, resulting in a right-angle collision with their skis locked together after the collision. Calculate the final velocity of the two skiers. Ni'l is! | East m1 .2 2. A billiard ball of mass 0.15 kg is rolling north at 3.5 ml's when it collides with a stationary golf ball of mass 0.050 kg. The billiard ball rolls off at an angle of 15 with a velocity of 3.1 m/s. What is the final velocity of the golf ball? 3. Two cars of identical mass are approaching the same intersection, one from the south and one from the west. They reach the intersection at the same time and collide. The cars lock together and move away at an angle of 55 as shown. Which car was travelling faster than the other before the collision? Explain your reasoning. 4' 3. Two ice skaters undergo a collision, after which their arms are intertwined and they have a common velocity of 0.85 m/s [27 8 of E]. Before the collision, one skater of mass 71 kg had a velocity of 2.3 m/s [12 N of E], while the other skater had a velocity of 1.9 m/s [52 3 of W]. What is the mass of the second skater? A4 Ii. A steel ball of mass 0.50 kg, moving with a velocity of 2.0 mls [E]. strikes a second ball of mass 030 kg. initially at rest. The collision is a glancing one. causing the moving ball to have a velocity of 1.5 m/s [30 N of E] alter the collision. Determine the velocity of the second ball after the collision. Applying Inquiry Skills 5. Figure 7 shows the results of a collision between two pucks on a nearly frictionless air table. The mass of puck A is 0.32 kg. and the dots were produced by a sparking device every 0.50 s. [a] Trace the diagram onto a separate piece of paper and determine the mass of puck B. [Hint Determine which equation applies. and then draw the vectors on your diagram.) (b) Determine the amount of kinetic energy lost in the collision. (c) Name the type of collision that occurred. (d) Identify the most likely sources of error in determining the mass of puck B. airpuck 41900 N / Z LE dots created by air table 30 directions of motion /' 0 O Q .. Figure 7 For question 5