Please solve and answer the problem correctly please. Be sure to give explanations on each step and write neatly please. Thank you!!

In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is constant. Find the tensions in the ropes (in N) for each case. Note that 0₁ = 35.0°, 0₂ = 55.0°, 03 = 60.0°, m₁ = 3.00 kg, and m2 = 7.00 kg. (Due to the nature of this problem, do not use rounded intermediate values-including answers submitted in WebAssign-in your calculations.) (a) Τι WY NY MY T3 e₁ T₁ = N = N = N (b) 18 Τι = Τι T3 = || || || = T T Ts m₂ N N N 02 T₂ T3 m₁

You are working with a movie director and investigating a scene with a cowboy sliding off a tree limb and falling onto the saddle of a moving horse. The distance of the fall is several meters, and the calculation shows a high probability of injury to the cowboy from the stunt. Let's look at a simpler situation. Suppose the director asks you to have the cowboy step off a platform 2.55 m off the ground and land on his feet on the ground. The cowboy keeps his legs straight as he falls, but then bends at the knees as soon as he touches the ground. This allows the center of mass of his body to move through a distance of 0.660 m before his body comes to rest. (Center of mass will be formally defined in Linear Momentum and Collisions.) You assume this motion to be under constant acceleration of the center of mass of his body. To assess the degree of danger to the cowboy in this stunt, you wish to calculate the average force upward on his body from the ground, as a multiple of the cowboy's…

A box of mass m = 2.00 kg is released from rest at the top of an inclined plane as seen in the figure. The box starts out at height h =0.200 m above the top of the table, the table height is H = 2.00 m, and 0 = 41.0°. H m (a) What is the acceleration (in m/s²) of the box while it slides down the incline? m/s² (b) What is the speed (in m/s) of the box when it leaves the incline? m/s (c) At what horizontal distance (in m) from the end of the table will the box hit the ground? m (d) How long (in s) from when the box is released does it hit the ground? S (e) Does the box's mass affect any of your above answers? Yes No

(a) A sphere made of rubber has a density of 0.940 g/cm³ and a radius of 7.00 cm. It falls through air of density 1.20 kg/m³ and has a drag coefficient of 0.500. What is its terminal speed (in m/s)? m/s (b) From what height (in m) would the sphere have to be dropped to reach this speed if it fell without air resistance? m

The systems shown below are in equilibrium. If the spring scales are calibrated in newtons, what do they read? Ignore the masses of the pulleys and strings and assume the pulleys and the incline are frictionless. (Let m = 2.19 kg and € = 29.0°.) scale in (a) N N scale in (b) scale in (c) N scale in (d) N a C m m m m m b d m Ꮎ

An elevator car has two equal masses attached to the ceiling as shown. (Assume m = 3.10 kg.) m m T₁ T2 (a) The elevator ascends with an acceleration of magnitude 2.00 m/s². What are the tensions in the two strings? (Enter your answers in N.) = N T₁ Τι = N (b) The maximum tension the strings can withstand is 78.8 N. What is the maximum acceleration of the elevator so that a string does not break? (Enter the magnitude in m/s².) m/s²

(a) At what speed (in m/s) will a proton move in a circular path of the same radius as an electron that travels at 7.85 x 100 m/s perpendicular to the Earth's magnetic field at an altitude where the field strength is 1.20 x 10-5 T? 4.27e3 m/s (b) What would the radius (in m) of the path be if the proton had the same speed as the electron? 7.85e6 x m (c) What would the radius (in m) be if the proton had the same kinetic energy as the electron? 195.38 x m (d) What would the radius (in m) be if the proton had the same momentum as the electron? 3.7205 m

! Required information The block shown is made of a magnesium alloy, for which E = 45 GPa and v = 0.35. Know that σx = -185 MPa. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 25 mm B D 40 mm 100 mm Determine the magnitude of Oy for which the change in the height of the block will be zero. The magnitude of Oy is MPa.