A uniform beam of length 1.0 m with mass 91 kg is attached to a wall by a cable, as shown in the figure. The cable is attached at a 30 degree angle with respect to the beam. The beam is free to pivot at the point where it attaches to the wall but at the present moment it is stationary. What is the tension in the cable? Show your work or explain your reasoning.

Two large lead spheres are sitting in a lab. Sphere 1 has a slightly larger mass than Sphere 2. The gravitational force of Sphere 1 on Sphere 2 is [parta] the gravitational force of Sphere 2 on Sphere 1. If they are moved closer to each other, the gravitational force between the spheres will [partb]. If Sphere 1 is modified to increase its mass, the gravitational force between them now will be [partc] than it was originally. You do NOT need to show your work or explain your reasoning for this question.

A species of plant is tetraploid (4N). Another species of plant is diploid (2N). Genetic analysis reveals that the diploid and tetraploid plants have the same genes and chromosomes, but the diploid plants have 2 copies of each chromosome, while the tetraploid plants have 4 copies of each chromosome. Under the biological species definition, should the plants be considered separate species? Answer yes or no, then explain why they should or should not be considered separate species.

A woman has a mass of 59.5 kg. What is her weight on Mars, where the surface gravity (i.e. free fall acceleration) is 3.76 m/s2? Show your work or explain your reasoning.

The tune-up specifications of a car call for the spark plugs to be tightened to a torque of 15 N∙m. You plan to tighten the plugs by pulling on the end of a 11 cm long wrench. Because of the cramped space under the hood, you’ll need to pull at an angle of 60° with respect to the wrench shaft. With what force must you pull? Show your work or explain your reasoning.

Look back at the previous question about the plastic disk spun on an axle by an electric motor. If that disk has a mass of 225 g and has an 18 cm radius, what torque is required from the motor to achieve the angular acceleration you found? The moment of inertia for a disk about center is ½MR2. Show your work or explain your reasoning.

A patient who chronically has the rhythm in the telemetry strip below might be prescribed which of the following to manage this condition? Select all that apply.

In the previous question about the book sliding across the table, what is the acceleration of the book? It is a 275 g book initially pushed to the right across a table with an initial speed of 1.3 m/s. A 0.37 N friction force acts on the book, slowing it down.  Show your work or explain your reasoning.

A manufacturing company that produces a single product has provided the following data concerning its most recent month of operations: Selling price $ 110 Units in beginning inventory 0 Units produced 2,400 Units sold 2,100 Units in ending inventory 300 Variable costs per unit:   Direct materials $ 41 Direct labor $ 15 Variable manufacturing overhead $ 7 Variable selling and administrative expense $ 9 Fixed costs:   Fixed manufacturing overhead $64,800 Fixed selling and administrative expense $8,400 The total gross margin for the month under absorption costing is: 

A company uses direct labor-hours in its predetermined overhead rate. At the beginning of the year, the estimated direct labor-hours were 22,100 hours and the total estimated manufacturing overhead was $570,180. At the end of the year, actual direct labor-hours for the year were 22,050 hours and the actual manufacturing overhead for the year was $569,000. The balance in the manufacturing overhead account at the end of the year was: (Do not round intermediate calculations)