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Considering only the gravitational forces that the spheres exert on each other, what is the magnitude of the initial acceleration of the third sphere?
An 80 arrow is fired from a bow whose string exerts an average force of 130 on the arrow over a distance of 80 . What is the speed of the arrow as it leaves the bow?
A 1110-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A 1960-N crate hangs from the far end of the beam.
A person walks 35.4? north of east for 3.98 km. Another person walks due north, then due east to arrive at the same location. How far due north would this person walk?
Which can jump to a height of 11.8 ft when leaving the ground at an angle of 53°. With what speed, in SI units, must the animal leave the ground to reach that height?
A thin-walled hollow cylinder has the same mass and radius as the disk. It is released from rest, just above the turntable, and on the same vertical axis.
Please calculate the net tension of each brace that is holding up the beam on both sides.
If a pitch were thrown horizontally with this velocity, how far would the ball fall vertically by the time it reached home plate, 60.5 ft away?
A convex mirror has a focal length of -14 cm. A lightbulb with a diameter of 5.6 cm is placed 60.0 cm in front of the mirror. Locate the image of the lightbulb.
A stone is allowed to fall from the top of tower 100m high at the same time another stone is projected vertically upwards from the ground with a velicity of 25m/s.
The stone flies horizontally and strikes the ground after traveling a horizontal distance of 10 m. What is the magnitude of the centripetal acceleration of the stone while in circular motion?
A projectile is fired at an upward angle of 45° from the top of a 260 m cliff with a speed of 185 m/s. What will be its speed when it strikes the ground below? (Use conservation of energy.)
Use a spreadsheet (or write a computer program in the language of your choice) to determine the four lowest energy eigenvalues of a particle in a one dimensional potential which is zero over some di
A pendulum of length 7.5 m is held out to point A (see diagram below). At the vertical position, an overhang effectively cuts the length of the pendulum by an amount equal to 3.5 m. (That is, 3.5 m
Three electrons form an equilateral triangle 2.6 nm on each side. A proton is at the center of the triangle. What is the potential energy of this group of charges?
A simple pendulum has a mass of 0.150 kg and a length of 3.00 m. It is displaced through an angle of 12.0° and then released. What is the maximum speed? What is the maximum angular acceleration
An object weighing 330N in air is immersed in water after being tied to a string connected to a balance. The scale now reads 270N. Immersed in oil, the object appears to weigh 285N. Find the densit
At what angle does the light reaching the edge of the pool leave the water? What is the difference between the real depth and the apparent depth of the light source?
A skier is accelerating down a 30.0 degree hill at 1.80m/s2. What is the vertical component of heracceleration? How long will it take her to reach the bottom ofthe hill.
If an average friction force of 4300 N im- pedes the motion, find the speed of the car at the bottom of the driveway. The acceleration of gravity is 9.8 m/s2 . Answer in units of m/s.
If the charge of the point charge in the figure were -4Q (instead of +Q), by what factor would the magnitude of the force on the point charge due to the dipole change?
1100 kg car carrying four 98 kg people travels over a "washboard" dirt road with corrugations 4.4 m apart. The car bounces with maximum amplitude when its speed is 16 km/h. When the car stops, and t
Which of the following are true statements about friction?
She notices that the string makes an angle of 25 ^circ with respect to the vertical as the aircraft accelerates for takeoff, which takes about 20 s. Estimate the takeoff speed of the aircraft.
A 2.8 {rm kg} block of wood sits on a table. A 3.0 {rm g} bullet, fired horizontally at a speed of 460 {rm m/s}, goes completely through the block, emerging at a speed of 180 {rm m/s}. What is the