Apply the methods discussed to construct free-body diagrams for the situations described below. 1. A vase is at rest on a table top. Diagram the forces acting on the book. 2. A girl is suspended motionless from the ceiling by a rope. Diagram the forces acting on the girl as she holds onto the rope. 3. An egg is falling (not freely, do not neglect air resistance) from a nest in a tree. Diagram the forces acting on the egg as it falls.
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- A sports car with a mass of 1,385 kg is at rest on a flat, horizontal road. 5.4 s later, that car is moving forward at a speed of 90 mph. Calculate the acceleration of the car and the average net force acting on the car.For this problem: Draw a diagram of the motion Draw a free body diagram.Write your N2 Law equationList your kinematics variablesSolve the algebraic equation using variables.Plug in your information and solve.1A. Create a force diagram of a system car and mass hanger as they move together? 1B. How does the acceleration of the car compare to the acceleration of the mass hanger? justify your answer. 1C. What causes the system to accelerate? 1E.Do you expect the acceleration of your system to be smaller than, greater than or equal to the acceleration due to gravity? Justify your answer. 1F.Using newtons second law and the diagram you created in question #1a give the acceleration of the system as a function of the masses of the cart and the hanger.A. Draw the free-body diagram of the object B. Using Newton's laws find the normal force on the object C. Determine the force of kinetic friction on the object
- 2. A painter uses a platform/rope/pulley system to raise/lower himself along the side of a house. The painter has a mass 9M and the platform has a mass of 3M. The painter pulls downward on the rope with a force of 5Mg. (Newton's 3rd law should tell you what the tension is.) The mass and friction of the pulley is negligible. a. Draw free body diagrams (FBD) showing the forces on the system of the painter and platform, the painter, and the platform. Make sure all action reaction pairs are given the same label and masses are labeled correctly. b. What is the magnitude and direction of the acceleration of the painter in terms of M and/or g? magnitude = c. What is the magnitude and direction of the force that the painter exerts on the platform? direction (up/down) =, magnitude = direction (up/down) = . d. Assume the painter starts at rest and pulls with this tension for 3 seconds. How far has the painter traveled during this time?The figure shows an unlabeled force diagram for a moving object that is missing one force. The length of the sides of the square grid corresponds to a force magnitude of 1 N. 1) Which additional force has to be exerted on the object so that the object accelerates downwards. Choose all answers that are correct. 2) Which additional force has to be exerted on the object so that the object moves at a constant speed. Choose all answers that are correct.Diagram the forces acting on the object being asked.
- The object in the diagram is acted upon by the two forces as shown below. 3N object What is the effect of these forces? 2N Select one: a. The object moves to the left with constant speed b. The object moves to the right with constant acceleration c. The object moves to the right with constant speed d. The object moves to the left with constant acceleration4. The masses of blocks A and B are 4.5 kg and 3.7 kg respectively. The blocks are initially at rest and are connected by a massless string passing over a massless, frictionless pulley. The system is released from rest.Draw a free-body diagram for each block showing all the applied forces in relative scale. Next to each diagram show the expected direction of acceleration. What is the acceleration of blocks? What is the tension force in the rope? How high will the 3.7 kg block move in the first 2.5 s? Find the speed of the 4.5 kg block at the end of 5th second.2. A 10-kg block, initially at rest, is at the top of a rough plane inclined at 10°. The coefficient of kinetic friction between the block and the incline is 0.1, the coefficient of static friction is 0.5. a) What minimum force (magnitude and direction) will start motion of the block down the incline? Present free-body diagram. Motion started, applied force disappears and block is moving on its own. As the block slides down the incline: b)Find the acceleration of the block, present free-body diagram c) Determine the magnitude and the direction of the force of friction acting on the block. d)Calculate the change in the potential energy of the block, after it slides 3m down the incline.
- A 16.0-kg mass and a 2.25-kg mass are connected by a light string over a massless, frictionless pulley.a) Draw the diagram of the system.b) Label all the forces acting on the two masses.c) What is the diagram drawn in (b) called?d) What is the acceleration of the system when released?1. The cart in the figure (and in the video: https://youtu.be/gvPNrdfNo9g ) is attached to a light spring that can stretch and compress equally well. The cart and spring rest on a low-friction horizontal surface. The cart is shown at position III, at rest, not accelerating. The cart is pulled to position I (stretching the spring) and then released. It moves to position V, where it then reverses direction and returns again to position I. It repeats the motion. IV II1. A 20 N crate is held at rest on an incline by a rope that is parallel to the incline as shown on the figure to the right. The incline is 30° above the horizontal. The coefficient of static friction, µs, between the crate and the incline is 0.35. a) Draw two free body diagrams for the forces acting on the crate. In the first, indicate the forces pointing along the ramp and in the second, indicate the forces pointing perpendicular to the ramp b) Rank all forces acting on the crate from largest to smallest. c) Write down two separate equations for Newton's second law with static friction: one for forces pointing along the ramp and one for forces pointing perpendicular to the ramp. Do some forces appear in only one of the Newton's law equations? For forces that have some component in both, make sure you break down those force vectors correctly in the equation.