You have designed an Atwood elevator for your tree house, see figure below. Being a curious physics student you use a detector to measure its motion. You put a different mass (M1) in the elevator, counter-balanced by M2 = 10 kg. M1 falls to the ground while M2 rises. Your detector measures an acceleration of 0.85 m/s2 . What is the mass M1 in kg?
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You have designed an Atwood elevator for your tree house, see figure below. Being a curious physics student you use a detector to measure its motion. You put a different mass (M1) in the elevator, counter-balanced by M2 = 10 kg. M1 falls to the ground while M2 rises. Your detector measures an acceleration of 0.85 m/s2 .
What is the mass M1 in kg?
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- Part A Make a free-body diagram of the box B. Draw the force vectors with their tails at the dot. Part B Make a free-body diagram of the box A. Draw the force vectors with their tails at the dot.Two blocks are connected by a massless rope. The rope passes over an ideal (frictionless and massless) pulley such that one block with mass m1 = 12.25 kg is on a horizontal table and the other block with mass m2 = 7.5 kg hangs vertically. Both blocks experience gravity and the tension force, T. Use the coordinate system specified in the diagram. a.) Assuming friction forces are negligible, write an expression, using only the variables provided, for the acceleration that the block of mass m1 experiences in the x-direction. Your answer should involve the tension, T. b.) Under the same assumptions, write an expression for the acceleration, a2, the block of mass m2 experiences in the y-direction. Your answer should be in terms of the tension, T and m2. c.) Carefully consider how the accelerations a1 and a2 are related. Solve for the magnitude of the acceleration, a1, of the block of mass m1, in meters per square second. d.)Find the magnitude of the tension in the rope, T, in newtons.Please answer the questions in red.
- Part E Problem: Thinking and Investigation 44. In testing a new material to be used in non-slip door mats. Scientists made a mat made of this new material, and did the following experiment. A force (F) was used to pull a wooden block across the mat as shown below.(5) m μ The size of the force was varied and the data table below shows the size of the force and the block's resulting acceleration. F(N) (m/s²) 20 0.25 25 0.85 30 1.35 35 1.95 Plot the data on the graph below and draw a line of best fit. Extend the line back to the 'y' axis so that you have a y-intercept point and determine the slope of the line. F (N) The industrial standard for the coefficient of friction for non-slip mats is 0.85. a) Using your slope value and your y-intercept value from the graph, determine the coefficient of friction between the block and the mat. b) Would this mat be approved for production based on its coefficient of friction? Briefly explain. 11 ofThe pair of pulleys is used to lift a 40-kg block 0.25 m. The constant upward acceleration of the block during the lift is +2.5 m/s^2, and the pulleys and rope have negligible inertia and negligible friction. A. What is the tension in the pulling rope? Express your answer with the appropriate units. B. What is the tension in the rope from which the block hangs? Express your answer with the appropriate units. C. Determine the magnitude of the force exerted by the upper mount on the top pulley. Express your answer with the appropriate units. D. How much work is done by the person pulling the rope in lifting the block 0.25 mm? Express your answer with the appropriate units. E. By how much does the kinetic energy of the block change in this process? Express your answer with the appropriate units. F. How much work is done on the block by the rope attached to it? Express your answer with the appropriate units. G. How much work does the ceiling do in this process? Express your answer with the…Question 3. The cart shown in figure below moves with constant deceleration changing the speed from v0 = 5 m/s to v1 = 1 m/s. After 2 seconds when it reaches the speed v1 it suddenly stops. Write the displacement of the mass as a function of time. Mass m moves without friction on the surface of the cart. Assume positive direction from left to right (direction of motion of the cart). Numerical values: m = 2 kg, k = 1.152 kN/m. V k Ans: x(t) = 3.472 cos 24 t + 41.6 sin 24 t (mm) m L
- Ms. Estes is trying to assess which of her Physics students best comprehend the concepts of mass and weight. Which students offer the most accurate descriptions of mass and weight? Albert: Weight is a measurement of the force of gravity acting on an object.Catherine: Weight is a measurement of how many atoms are contained in an object.Evelyn: Weight is a measurement of how strong the Earth pushes upward on an objectBetty: Mass is a measurement of how much space an object takes up.Delilah: Mass is a measurement of how much matter an object has and of its inertia.Francis: Mass is a measurement that explains why all objects accelerate at -9.8 m/s2.вкл M 5.0. show all your steps and write your final answers in a sentence. Please use g = 9.80 for each of these questions to increase precision. Therefore all answers will have 3 significant digits. A fisher pulls a sled of fish along a flat horizontal surface. They are travelling forward at a constant velocity. The sled and the fish have a combined mass of 32.4 kg. These sled and the fish can be treated as one object for the problem. There are four forces acting on the sled of fish: There is a force of gravity [down]. There is a normal force [up]. There is a force of kinetic friction [backwards]. The fisher pulls with an angled forward force of 43.2 N [33.6 degrees above the horizontal]. Calculate the coefficient of kinetic friction between the sled and the ground. Hint: constant velocity means that the net force is zero.Two people play tug of war. The 100-kg person on the left pulls with 1100 N, and the 75-kg person on the right pulls with 870 N. Assume that neither person releases their grip on the rope with either hand at any time, assume that the rope is always taut, and assume that the rope does not stretch. What is the magnitude of the tension in the rope in Newtons? Add your answer