MMMMM 4. Consider a scenario where a ball with a mass of 10 kg is hung on a frictionless inclined plane at a = 30°. The inclined plane itself moves along the direction indicated in the right figure with an acceleration a = g/3. Find: (a) the tension in the rope. (b) the normal force of the ball on the inclined plane. (c) the acceleration of the inclined plane at which the normal force of the ball on the inclined plane becomes zero.
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- = 4. Consider the figure below, which has two objects of mass mi 3 kg connected by a taut rope. m2 Fp m2 Frictionless Finger Ms, Mk = The ramp is at an angle of 0 40° and has the peculiar property that it is frictionless along the tilted surface, but not along its vertical surface. (a) Ignore Fp for this part. What are the magnitude and direction of the acceleration experienced by the two objects? What is the magnitude of the tension force from the rope? (b) As the objects are moving, you apply a force on object 2 (using a frictionless finger) with magnitude Fp 50 N directly leftward (as seen in the figure). Upon doing this, you observe that the objects now move with constant speed. What is ? m₁ Frictionless 5 kg andBlocks 1 and 2, with masses m1 = 4.0 kg and m2 =7.7 kg, respectively, sit on a frictionless table, connected by a lightweight, flexible cord. Block 2 is in turn connected to block 3 by a similar cord strung over a massless, frictionless pulley as shown. The tension in the cord connecting blocks 1 and 2 is 12 N. Determine the mass of block 3. (Answer in kg.)A worker drags a crate to the right across a factory floor by pulling on a rope tied to the crate. The worker exerts a force of magnitude F = 450 N on the rope, which is inclined at an upward angle 0 = 30.0° to the horizontal, and the floor exerts a horizontal force of magnitude f = 125 N that opposes the motion. Calculate the magnitude of the acceleration of the crate if (a) its mass is 310 kg and (b) its weight is 310 N. Step 1 Create the free-body diagram. Use the checkboxes to select the correct vectors as instructed above. Move the vectors to the correct starting points and orient them in the correct direction as instructed. Key to Force Labels mg mg = Gravitational force f = Frictional force FN = Normal force T = Tension FN T Draw free-body diagram here
- Problem #2: A 3.00 kg block (mass 1) and a 5.00 kg block (mass 2) are connected by a light string as shown; the inclination of the ramp is 40.0°. Friction is negligible. What is: (a) the acceleration of the blocks (b) the tension in the string? 40° 2. 2)An 8 kg box is on an incline at 40 degrees from the horizontal. It is attached to a 10 kg box via a rope over a pulley that is on another incline of 50 degrees from the horizontal. Both inclines are frictionless. What is the acceleration of the system and what is the tension in the rope connecting the boxes. (Think of a triangle with one box on one side and the other box on the other side connected by a single rope over a pulley).Consider 2 forces acting on a mass of 2.37 kg. F1 = 10 N @ 19.3 degrees and F2 = 7.97 N @ 67.9 degrees where the angles are measured relative to the +x direction. What is the magnitude of the acceleration produced considering only these 2 forces acting?
- A box of mass m, = 5 kg and a box of mass m,=2.5 kg are connected with a cord of negligible mass over a frictionless and massless pulley. The two objects are released from rest. The box is placed on a frictionless incline of angle 0 = 23°. (please use g = 9.8 m. m. 1. Calculate the magnitude of the acceleration of the masses with its unit: a = 4.6025 X m s^(-2) v 2. Calculate the magnitude of the tension in the cord with its unit: T= 25 X N 3. The box is sliding upward sliding downwardx not slidingAn object (m = 5.00 kg) is sliding down the incline plane which sits on a table of a height H = 1.50 m as shown in the figure. The angle that the inline makes with the horizontal is 35.0°. %3D The objects slides a distance of 1.00 m down the incline in 3.00 s. The incline is not frictionless. (a\) Draw a labeled and scaled FBD showing all the forces acting on the object while it is on the ramp. (b) Find the magnitude of acceleration of the object down the incline. (c) Find the coefficient of kinetic friction between the object and the incline. (d) What is the work done by the force of friction? (e) When the object gets to the bottom of the plane, it follows a projectile path. How far from the edge of the table (x) does it land?A skydiver, who weighs 687 N, is falling at a constant speed with his parachute open. Consider the apparatus that connects the parachute to the skydiver to be part of the parachute. The parachute pulls upward on the skydiver with a force of 620 N. Find the magnitude of the force on the skydiver due to the air. Needs Complete typed solution with 100 % accuracy.
- A block of mass m1 = 40 kg on a horizontal surface is connected to a mass m2 = 16.0 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction between m1 and the horizontal surface is 0.23. (a) What is the magnitude of the acceleration (in m/s2) of the hanging mass? (b) Determine the magnitude of the tension (in N) in the cord above the hanging mass.A block of mass mı = 3.61 kg on a frictionless plane inclined at angle e = 29.0° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.49 kg hanging vertically (see the figure). (a) What is the acceleration of the hanging block (choose the positive direction down)? (b) What is the tension in the cord?