Question 1: A horizontal towrope exerts a force of 200 N due west on a water skier while the skier moves due west a distance of 50 m. (a) How much work does the towrope do on the skier? (b) How much kinetic energy is transferred? (c) If the water skier + skies weigh 650 N, what is the final velocity of the water skier after 50 m if she started from rest? Question 2: The positions of four particles, written in (x,y) coordinates, are: particle 1 (mass 2.0 kg) at (3.0 m, 1.0 m); particle 2 (mass 5.0 kg) at (2.0 m, 0.0 m); particle 3 (mass 7.0 kg) at (-2.0 m, 3.0 m); particle 4 (mass 3.0 kg) at (-4.0 m, 2.0 m) (a) Draw a diagram of this configuration. (b) What is the location of the CM with respect to the origin (0,0)? Question 3: A Humvee, a 2396 kg vehicle was moving through a field N at 22 m/s collides when it collides with a 1200 kg truck moving at 17 m/s. The Humvee stops and the truck is pushed forward. (a) What is the velocity of the truck right after collision? (b) What is the change in kinetic energy for this collision? Question 4:Question 4: In a dart gun, a spring with k = 400.0 N/m is compressed 8.0 cm when the dart (mass m = 20.0 g) is loaded. (a) What is the muzzle speed of the dart when the spring is released? Ignore friction. (b) If the dart gun is located on a table top 2.2 m above the ground, and once the spring is released, it remains compressed by 4 cm, what is the final speed of the dart as it hits the ground? Question 5: A bound stack of books sits on a wooden ramp in the hallway of a library. The ramp is angled at 420 with respect to the floor. The stack of books weighs 250 N. (a) What is the normal force of the wooden ramp on the stack of books? (b) What is the static frictional force exerted by the ramp on the stack of books? (c) What is the coefficient of static friction? (d) What is the magnitude and direction of the contact force on the crate?Question 6: For the following atwood machine, find the acceleration of the system given m1= 10 kg and mz = 15 kg. string a m