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Q. Two small metallic spheres, each of mass m = 0.25 g are suspended as pendulums by light strings from a common point. The spheres are given the same electric charge Q and it is found that they come to equilibrium when each string is at an angle of 5.0 with the vertical. Each string is 30.0 cm long.
Q. (a) A box sits at a rest on a rough 30 degree inclined plane. Draw the free-body diagram, showing all the forces acting on the box. (b) How would the diagram change if the box were sliding down the plane? (c) How would it change if the box were sliding up the plane after and initial shove?
A motorcycle daredevil plans to ride up a 2.50m high 25.0° ramp, sail across a 10-m-wide pool filled with hungry crocodiles, and land at ground level on the other side.
The pilot of an aircraft wishes to fly due west in a 34.60 km/h wind blowing toward the south. The speed of the aircraft in absence of a wind is 145 km/h.
A 4.7 e2 kg hot-air balloon takes off from rest at surface of the earth. The nonconservative wind and lift forces take the balloon up, doing +9.70 multiplied by 104J of work on the balloon in the process. At what height above the surface of the ea..
An automobile club plans to race a 780 kg car at the local racetrack. The car needs to be able to travel around several 170 m radius curves at 85 km/h. What must the banking angle of the curves be so that the force of the pavement on the tires of the..
A small object with a mass of 360 mg carries a charge of 30.0 nC and is suspended by a thread between the vertical plates of a parallel-plate capacitor. The plates are detached by 2.40 cm. If the thread makes an angle of 17.0° with the vertical, what..
A car is traveling at 43.2km/hr on a flat, concrete highway. If the brakes are applied such that skidding occurs, the kinetic coefficient of friction between the road and tires is 0.808. If anti-lock brakes are properly applied after that no skidd..
You push with a 20N horizontal force on a 2 kg mass resting on the horizontal surface against a horizontal friction force of 12N. What is the acceleration.
A 44.0 kg child is in a swing that is attached to ropes 1.60 m long. The acceleration of gravity is 9.81 m/s2. Find the gravitational potential energy associated with the child relative to the child's lowest position under the following conditions.
At one instant a bicyclist is 49m due east of a park's flagpole, going due south with a speed of 14 m/s. Then 40s later, the cyclist is 49m due north of the flagpole, going due east with a speed of 14m/s. For the cyclist in this 40s interval, what..
What is the CD's moment of inertia for rotation about a perpendicular axis by the edge of the disk.
While John is travelling along a straight interstate highway he notices that the mile marker reads 243 km john travels until he reaches his path to the 178 km marker what is john's resultant displacement from the 243 km marker.
Vector A has a magnitude of 10m and makes an angle of 78o with the positive x axis. Vector B also has a magnitude of 13m and is directed along the negative x axis. Enter your answers in distance then angle (in degrees).
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