How many particles are present in a closed container if the energy it contains is 92727.9 J, and the diatomic oxygen gas is moving at a velocity of 62.44 m/s? Use only the whole number for the value of atomic mass unit. Express your answer in proper scientific notation.
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Kindly provide a free body diagram of the problem. Please give a complete and detailed solution.
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- Construct Your Own Problem Consider two people pushing a toboggan with four children on it up a snowcovered slope. Construct a problem in which you calculate the acceleration of the toboggan and its load. Include a free-body diagram of the appropriate system of interest as the basis for your analysis. Show vector forces and their components and explain the choice of coordinates. Among the things to be considered are the forces exerted by those pushing, the angle of the slope, and the masses of the toboggan and children.A box of mass m is resting in the flat bed of a truck which is stopped at a red light on a road which slopes upward at an angle qabove the horizontal. The coefficients of friction between the box and the truck bed are given by μs and μk.The light turns green and the truck begins to accelerate.Write all answers in terms of variables given in the problem and any appropriate constants. 1)Draw a free body diagram for the box. 2)Find the maximum acceleration amax of the truck such that the box remains in the exact same place in the truck without sliding. 3)Assume the truck accelerates at a rate greater than the maximum found in part b. (atruck> amax). From the perspective of someone sitting in theback of the truck with the box, the box will beginaccelerating toward the back of the truck. Express this acceleration abox in terms of m, the distance to the back of the truck L, and the kinetic energy K of the box just before it hits the back of the truck.Two blocks are connected by a massless, stretchless string. One of the blocks is on a horizontal frictionlesssurface. The string goes over a massless, frictionless pulley. The second mass simply hangs from the string. Between thefirst block and the pulley the string is parallel to the horizontal surface.a) Draw the free-body diagram for the first block (the one on the surface).b) Draw the free-body diagram for the second block (the hanging mass).c) Setup Newton’s second law for the first block.d) Setup Newton’s second law for the second block.e) Symbolically, what is the magnitude of m1’s acceleration?f) Symbolically, what is the magnitude of the tension in the string?Answer the following questions using the equation you derived in part (e) above.g) What is the magnitude of m1’s acceleration if m1 is 5.00 kg and m2 is 1.00 kg?h) What is the magnitude of m1’s acceleration if m1 is 1.00 kg and m2 is 5.00 kg?i) What is the magnitude of m1’s acceleration if m1 is 3.00 kg and m2 is 3.00…
- Please answer all parts and circle.Two blocks rest on a frictionless surface as shown. The slope part has an angle of 40◦(A) Draw freebody diagrams for both objects.(B) Write out an equation for the acceleration of the lighter block. Leave all unknowns as letters and put in numerical values for all terms that you can.(C) Write out an equation for the acceleration of the heavier block. Leave all unknowns as letters and put in numerical values for all terms that you can.(D) Would it be possible to solve the system of equations you have written in parts (B) and (C) to find the acceleration? (If you have done everything correctly, it will be possible, but this question is asking about the equations you have written out. If you have done something incorrectly, you can get credit for realizing it.) You do not have to solve this system of equations.Jeanine, who has a mass of 45 kg, rode a roller coaster through a loop with a radius of 35 km . Assume the roller coaster maintained a constant speed of 48m/s. Draw a free-body diagram of the scenario below. Include the forces at the: • top • bottom • sides
- A block of mass M is suspended at rest by two strings attached to walls, as shown in the figure. The left string is horizontal with tension force T2 and and the right string with tension force T, makes an angle e with the horizontal. g is the magnitude of the gravitational acceleration. Which of the following statements is true? Select all apply. T2 M O The net force along the y-component is non-zero. O The acceleration along the x-component is zero. O The net force along the x-component is zero. O The acceleration along the y-component is non-zero. O The acceleration along the y-component is zero. O The acceleration along the x-component is non-zero. O The net force along the y-component is zero. O The net force along the x-component is non-zero.Please asapA 1000 kg car travels around a circular track at a constant speed. Draw the free-body diagram for the car as viewed from the front of the car. If the radius of the path is 200 m and the car is traveling at 25 m/s, What is the magnitude of the force keeping the car in a circular path? (Give answer to 3 sig figs)
- Problem 8: Consider a bowling ball of mass M attached to two ropes. One rope is being pulled horizontally. The second rope is tied to the ceiling (see figure) and is at a 45° with respect to the ceiling.The bowling ball is stationary. T, M Please use the interactive area below to draw the Free Body Diagram for the bowling ball. A Add Force O Reset All T1 v 45 vx T1 Ftotal,x: + (pos) Ftotal,y: + (pos)The Colussus is a ferris wheel at 6 Flags amusement park with a 50.4 m diameter. It rotates at 1.5 rpm. For the following, assume the rider has a mass m = 65 kg, and that the rider sits forward with feet up so the only part of the seat that exerts a force on the rider is the horizontal seat bottom. As usual, a free body diagram is a great place to start. Find the normal force exerted by a seat on a person riding the Colossus at the highest point in the ride. Hint: the speed of the rider can be computed from the circumference of their circular path and the time it takes to make one full revolution. Find the normal force exerted by a seat on a person riding the Colossus at the lowest point in the ride.a 12.0 kg box is sitting motionless on a plane, which is tilted to an angle of 30 degrees. what must the minimum value of the coefficient of static friction between the box and the surface of the plane be, so that the box does not move? include a system diagram and a FBD in your solution,