6. Ali pushes a cart with a resultant force of 100 N and it accelerates at a rate of 2 m/s. a. What is the mass of the cart? b. If he then pushes it with a force of 300 N, what will its acceleration be now?

Three boxes in contact slide side-by-side on a smooth, friction-less, horizontal floor. Their masses are 5.0-kg, 3.0-kg, and 2.0-kg, with the 3.0-kg box in the center. A force of 50 N pushes on the 5.0-kg box, which pushes against the other two boxes.   A. Draw the free-body diagrams for each of the boxes. B. What magnitude force does the 3.0-kg box exert on the 5.0-kg box? C. What magnitude force does the 3.0-kg box exert on the 2.0-kg box?

An airborne body of mass, m=64.3kg, is pushed straight upward by a vertical force, Fv=641N. a.What is the net force in the vertical irection? Let up be the positive direction, use Fv and let Fg be the wieght of the body.b. what is the magnitude of the net force exerted on the object in newtons?c. what is the acceleration of the body in m/s2?

A 75 kg parent and a 22 kg child meet at the center of an ice rink. They place their hands together and push hard enough to slide apart. a. Is the force experienced by the child more than, less than, or the same force experienced by the parent? b. Is the acceleration of the child more than, less than, or the same acceleration as the parent? c. If the acceleration of the child is 2.3 m/s2 in magnitude, what is the magnitude of the force of the parent's push on the child?

C. a. 1. Alan (m = 50 kg) and Diego (m = 40 kg) are standing on a frictionless ice rink, facing each other, when Alan pushes Diego. Diego moves with an acceleration of 1 m/s². What is the magnitude of Alan's acceleration? a. .8 m/s² b. 1.0 m/s² c. 1.25 m/s² d. Cannot be determined 2. How much horizontal force must a girl apply to a 50 kg cabinet to accelerate it at .4 m/s² along a horizontal surface if there is a friction force of 70 N? b. 50 N e. 90 N 3. Students design an experiment to determine the relationship between mass and acceleration where a cannon fires varying masses. Motion sensors are used to measure the velocity of the cannon ball while it is in the cannon. A graph of one of the trials is shown to the right. The mass is then increased for the next trial while keeping everything else the same. What should the velocity vs. time graph look like for this next trial? The second trial is the dashed line. 120 100 80 60 40 20 0 0 120 100 80 60 40 20 a. 20 N d. 80 N D Velocity…

7. A bowling ball and a feather are dropped from a height of 100 ft. The bowling ball weighs 12 Ibs and the feather weighs 3 ounces. a. What is the Force (in Newtons) of both objects? b. The value of g is varies depending on what planet you are on. Bigger planets have a larger value of g. The value of g on the moon is 1.62 m/s2. Calculate the forces of these objects falling on the moon.

A 200-g hockey puek is launched at an initial speed of 16 ni/'s up a metal ramp that is inclined at a B0° angle. Thecoefficients of statie and kinetic- friction between the hockey puck and the metal ranp are us =0.40 and uk=0.30, respectively. a. Sketch the situation and make a motion diagram (including acceleration vector) for the puck. b. Make a force diagram for the puck at at instant during its way up the ramp. c. Write an equation representing the sum of forces along the slope and an equation representing the sum of forces perpendicular to the slope. d. Find the friction force between the puck and the ramp. Show all work. e. Find the acceleration of the puck as it travels up the ramp. Show all work. f. Would the puck have greater, sımaller or saine acceleration if it had twice the mass (everything else about the situation being the same)?