d vo carts, labeled A and B, roll on a horizontal track with no friction. The carts are separated by a distance d = 2.2 meters before ey start moving. Cart A will be pushed to the right (toward cart B) by a fan on Cart A. Cart B will be pushed to the left (toward rt A) by a fan on Cart B. Both carts are initially at rest and the fans are turned off (so they are not pushing the carts yet). hen the fan on Cart A is turned on, Cart A begins to accelerate to the right with a constant acceleration of 0.42 m/s². The fan on rt B is turned on exactly 0.5 seconds after the fan on Cart A. When the fan on Cart B is turned on, Cart B begins to accelerate to e left with a constant acceleration of 0.82 m/s². ow long (in seconds) after the fan on Cart A is turned on do the two carts bump into each other?

At a pool, a 3.26 kg life ring is thrown by a lifeguard to a struggling swimmer. The lifeguard stand is 1.75 m above the water. If air resistance is negligible and the life ring is launch with a speed of 8.23 m/s at the angle indicated in the figure: a) Find the height of the life ring and the net force on the life ring at point P. b) Find how far the life ring lands from the base of the stand. c) With what velocity did the life ring strike the water at point Q? 30°

A car travels at a constant speed of 25.5 mi/h (11.4 m/s) on a level circular turn of radius 43.0 m, as shown in the bird's-eye view in figure a. What minimum coefficient of static friction, ?s, between the tires and the roadway will allow the car to make the circular turn without sliding?

A boy slips off a spherical ice mound of radius 7.  At what height above the ground does the boy lose contact with the ice?  Assume the ice is frictionless.

Object A is has more mass than object B. Which statement is true? O Object A weighs less than Object B in outer space, far from any planets, starts, etc. O Object A weighs more than Object B on the Moon. O Object A weighs less than Object B on Earth. O Object B weighs more than Object A on the Moon.

As a science fair project, you want to launch an 700 g model rocket straight up and hit a horizontally moving target as it passes 26.0 m above the launch point. The rocket engine provides a constant thrust of 17.6 N. The target is approaching at a speed of 17.0 m/s. # 3 E D 80 F3 C 4 R F 888 V % 5 F5 T G ^ 6 B ▼ Part A At what horizontal distance between the target and the rocket should you launch? Express your answer with the appropriate units. FO Provide Feedback Y Value Submit MacBook Air H HA & 7 N F7 Request Answer U ** → 8 Units DII FB 1 M wwww. ? ( 9 K DD O :) O F10 P F11 1

A canon ball of mass 10 kg is fired from a cannon located on the edge of a cliffoverlooking the sea as shown below. The cannon is 45 m above sea level. Thecanon ball is fired at an angle of 15° from the horizontal with an initial speed of250 m/s. Air resistance may be ignored What horizontal distance (in km) will it travel before it falls into the sea? answer = 3.35kN What will be its speed (in m/s) as it hits the surface of the sea? answer = 252m/s please show all working with explanantions

A 137 kg boat is trying to go, from the origin (as shown in the figure), straight across the river at a speed 0.7198 m/s in the y-direction. The current in the river, however, flows to the right and apply a net force of 100 N (x-direction). a) What is the position vector of the boat after 2 seconds. b) What is the velocity of the boat after 3 seconds. Vboat,y Initial position of the boat is: Ij = +

Answer must be in nanometers.

A 2.50 kg box sits halfway up a 16.0 m long ramp that is inclined at an angle of 16.00. You shove a second box, of mass 1.50 kg, that's at the bottom of the ramp, so that it starts sliding up the ramp with a speed of 20.0 m/s. It hits the first box, sticks to it, and they both continue to slide up the ramp. The coefficient of kinetic friction between the boxes and the ramp is 0.200. Where, from the bottom of the ramp, do they come to rest?