A solid disk (moment of inertia = 20 [kg⋅m2][kg⋅m2]) rotates around an axle (with friction) connected to a device capable of reading the total energy at any given point in time. At point 1 the total energy is 250 [J] and point 2 the total energy is 160 [J]. If the speeds at point 1 and point 2 are 3 [rad/s] and 4 [rad/s], respectively, how much work is done by the non-conservative forces in this system?
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A solid disk (moment of inertia = 20 [kg⋅m2][kg⋅m2]) rotates around an axle (with friction) connected to a device capable of reading the total energy at any given point in time. At point 1 the total energy is 250 [J] and point 2 the total energy is 160 [J]. If the speeds at point 1 and point 2 are 3 [rad/s] and 4 [rad/s], respectively, how much work is done by the non-conservative forces in this system?
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- Recall that the work WW done by a constant force F⃗ F→ at an angle θθ to the displacement Δr⃗ Δr→ is W=F⃗ ⋅Δr⃗ =FΔrcosθW=F→⋅Δr→=FΔrcosθ. The vector magnitudes FF and ΔrΔr are always positive, so the sign of WW is determined entirely by the angle θθ between the force and the displacement. What is the work WnWn done on the box by the normal force? Express your answers in joules to two significant figures What is the work WTWT done by the tension force? Express your answers in joules to two significant figures.An m = 5.5kg box rests on a horizontal frictionless surface and is attached to a spring with spring constant k = 730 N/m. The spring is fixed at its other end and is initially at its natural (uncompressed) length. A horizontal force of F = 45 N is now applied to the box in a direction which extends the spring. [Recommended time : 10-12 minutes] a) The work done by the force, F. when the box has moved Ax = 10 cm is (J) a. 4.50 b. 4500 c. 730 d. 0.50 b) The potential energy of the spring when the box has moved Ax = 10 cm. (J) a. 36.50 b. 3.70 c. 12.20 d. 0.10Question 5 A pendulum consists of a rod AB of length 2L and mass m with a thin disc of mass M and radius r attached rigidly at its centre to the rod’s end point B. The pendulum rotates about an axis through point A of the rod, perpendicular to the plane of the disc. If the zero energy level of the (gravitational) potential energy is taken to go through point A, find the potential energy of the pendulum in the following cases: 1. If the pendulum is horizontal; (4) 2. If the pendulum stands upside down vertically above point A; (4) 3. If the pendulum forms the angle 45◦ with a vertical line drawn directly downwards from A.
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- Someone is stuck at the top of a tower, and is very thirsty. A heroic dog, weighing 40lbs, carries a bucket of water, weighing 5 lbs, up a helical staircase that encircles a tower with a radius of 15ft. The tower is 60ft high and the dog makes exactly three complete revolutions climbing to the top. Unfortunately the bucket leaks water at a steady rate, and during the ascent, 1lb of water leaks out. How much work is done by the dog against gravity?The three spheres in the figure, with masses mA = 79 g, mB = 7 g, and mc = 22 g, have their centers on a common line, with L = 21 cm and d = 4 cm. You move sphere B along the line until its center-to-center separation from C is d = 4 cm. How much work is done on sphere B(a) by you and (b) by the net gravitational force on B due to spheres A and C? (a) Number i (b) Number i B Units Units C ✪ ✪A 6.23 kg bundle starts up a 32.9° incline with 146 J of kinetic energy. How far will it slide up the incline if the coefficient of kinetic friction between bundle and incline is 0.175? I tried to solve this and used the equation ((146-sin(32.9)*0.175*6.23*9.8)/(9.8*6.23)) and came up with the awnser of 2.2962701829236 which is incorrect. can you tell me where I made my mistake?