Pls give step by step workings for each question

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 A2 1. Determine the momentum of a 0.30 kg hockey puck travelling across the ice at a velocity of 5.6 m/s[N]. 2. If a golf club exerts an average force of 5300 N[W] on a golf ball over a time interval of 0.0054 s, what is the impulse of the interaction? 3. A 0.16 kg puck is travelling at 5.0 m/s[N] when a slapshot changes the puck's velocity to 40 m/s[S]. If the collision lasted 0.0020 s: a. calculate the impulse imparted by the hockey stick. b. determine the average force applied by the stick to the puck. 4. A student practises her tennis volleys by hitting a ball against a wall. a. If the 0.060 kg ball travels at 50 m/s[W] before hitting the wall and then bounces directly backward at 35 m/s[E], what is the impulse of the interaction? b. If the duration of the interaction is 25 ms, what is the average force exerted on the ball by the wall? 5. A bungee jumper jumps from a very high tower with bungee cords attached to his ankles. As he reaches the end of the bungee cord, it begins to stretch. The cord stretches for a relatively long period of time and then it recoils, pulling him back up. After several bounces, he dangles unhurt from the bungee cord. Use the concept of impulse to explain the difference in the results of a jump using a proper bungee cord and a jump using an ordinary rope.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. 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 7'2 kg. Both skiers have an initial speed of 5.1 ms. 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. Hahn v.5, gnpo if . East ~15 _I 2. A billiard ball of mass 0.15 kg is rolling north at 3.5 mi'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 mls. 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