II. The Work Energy Theorem 6. TP 54. A 5.0-kg box has an acceleration of 2.0 m/s2 when it is pulled by a horizontal force across a surface with uk = 0.50. (a) Draw the FBD for the box. Then find the work done over a distance of 10 cm by (b) the horizontal force, (c) the frictional force, (d) the net force. (e) What is the change in kinetic energy of the box? Motion ILL
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- A 2.0 kg bock of slippery cheese slides along a frictionless track from point a to point b. The cheese travels through a total distance of 20.0 m along the track and a net vertical distance of 8.4 m. Determine how much work is done on the cheese by gravitational force during the slide. Use g = 10 N/kg.4. A constant force of 20.0 N i pushes a 1.50 kg mass over a distance of 5.00 m. in the x-direction. (a) What is the work done by the force? (b) If this is the only force doing work, what is the final speed of the mass? (c) If there is friction in the system and the final speed of the mass is actually 11.0 m/s, what must the coefficient of kinetic friction be? Answers: (a) 100 J, (b) 11.5 m/s, (c) 0.6294. This Olympic skeleton athlete slides down an icy track head first. The track has many twists and turns with a total height of 102.75 m. If the 99.375 kg man has a speed of 27 m/s at the bottom, what was the total work done on him by friction and air resistance slowing him down? (In other words, what was the energy lost to friction and air resistance?) He starts from rest at the top. 6.3843e4 Previous submissions: -63.84 63.84 63843 J J incorrect
- A grocery cart with a mass of 10 kg is being pushed at constant speed up a 25° ramp by a force Fp which acts parallel to the incline. (Ignore the friction) a. Draw a free-body diagram of the cart showing all the forces acting on it. b. Find the work done by each of the forces (W, Fn, Fp) on the cart if the ramp is 7.5 m long. Hints: The question is very similar to the question of a piano sliding down an incline discussed in class. However, here the object is pushed up the incline. The forces Fn = mgcos(0), and Fp = mgsin(0), so don't spend time getting these using Newton's 2nd law. Also, the weight is W = mg. c. Find the net work done on the cart.A 2kg package is moves up along a 10 m ramp AC inclined at 15' with an initial speed of 5 m/s. Knowing that the coefficient of sliding friction between the package and the incline is 0.2, answer the following questions: 10 m B 15° d 1. What force/s do/does NOT do any work on the package as it moves along the incline? 2. What is the work done by friction on the package as it moves a distance x along the incline? 3. What is the change in the kinetic energy from A to B if at position the package becomes zero? 4. What is the change in the potential energy from A to B if at position B the velocity of the package 5. What is the maximum distance that the package will move up the incline?2. A 1050 J of work is done by a post-person when pushing a parcel with a mass of 33.2 kg with a horizontal force at a constant speed across a level, rough surface for 8.17 m. Draw a free-body diagram. b. What is the horizontal force applied by the post person? c. What is the coefficient of kinetic friction between the parcel and the surface?
- 2. An ocean diver swims upwards against the drag force exerted by the water. This force varies in magnitude by depth (d) and is given by F(d)=√d, where y=100 N/m ¹/2. If the diver ascends from a depth of d=10m to the surface (d=0), what is the work done by this drag force? Why is this work negative?Stopping distance. A car is traveling on a horizontal road with speed v_0=13.9 m/s at the instant the brakes are locked, so the tires are sliding instead of rolling. Use the work-energy theorem to calculate the minimum distance the car can stop if the coefficient of kinetic friction \mu_k=0.7 between the tires and the road. B: A: 12 m 16 m C: 17.5 m D: 14 m. E: 23.7 mA 6 kg block initially at rest is pulled to the right along a rough surface ( c) by a constant horizontal force of F = 12 N at an angle 0 = 30° as shown in the figure. The block is moved over a distance of 3 m and Its final speed is 2 m/s. F Find the following : 1. The normal force? 2. The work done by force F? 3. The total work done on the block? 4. The work done by frictional force? 5. The kinetic frictional force (f)? 6. The coefficient of kinetic friction (u,) between the block and the surface ? 7. The increase in the internal energy?
- 2. A cart is pulled a distance D on a flat, horizontal surface by a constant force F that actsat an angle θ with the horizontal direction. The other forces on the object during thistime are gravity (Fw), normal forces (FN1) and (FN2), and rolling frictions Fr1 and Fr2,as shown below. What is the work done by each force?THANK YOU4. A 2.0 kg box slides down a ramp a distance of 3.0 meters before it reaches the ground. The ramp has an angle of 35°, and the force of kinetic friction if 4.0 N. a) What is the work done by gravity on the box? (include a FBD) b) What is the speed of the box at the bottom of the ramp?