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The density of a certain planet varies with radial distance as: ρ(r)= ρ0(1- αr/R0). R0=4.4668*10^5 m is the radius of the planet. p0= 5140 kg/m^3 is its central density, and aplha=0.180. a) Calculate the total mass of this planet. b) Calculate the weight of a one kilogram mass located on the surface of that planet.
One particle has a mass of 3.00 multiplied by 10-3 kg and a charge of+7.80µC. A second particle has a mass of 6.00 multiplied by 10-3 kg and the same charge. The two particles are initially held in place and then released.
Four point charges have the identical magnitude of 2.52 x 10-12 C and are fixed to the corners of a square that is 4.02 centimeter on a side. Find the magnitude of the net electric field that exists at the center of this square
A spring is resting vertically on a table. A small box is dropped onto the top of the spring and compresses it. Determine the magnitude of the spring's displacement at an instant when the acceleration of the box is zero
An 3.90 millimeter tall object is 21 centimeter from the center of a silvered spherical glass Christmas tree ornament 5.75 centimeter in diameter. Evaluate what is the height of its image
An intially uncharged 4.59-uF capacitor and a 6.63-kOHm resistor are connected in series to a 1.50-V battery that has negligible internal resistance. Calculate the circuit's time constant in milliseconds
A toy racing car moves with constant speed around the circle. When its coordinates are x = 0, y = 3m its velocity is (6m/s) i. When itis at x = -3m, y = 0m what is its velocity and acceleration? Usingi, j, k notation to give answer.
A stone is dropped into a river from a bridge 43.0 m above the water. Another stone is thrown vertically down 1.44 s after the first is dropped. What is the initial speed of the second stone
After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 52.0 cm . The explorer finds that the pendulum completes 108 full swing cycles in a time of 145s .What is the magnitude of the gravitational acceleration o..
A runner travels 2 km north, then 1 km west, then 1 km north, then 3 km east. The run took 45 minutes. What was the total path length of the run
A 5 kg ball and 10 kg ball approach eachother with a speed of 20 m/s. If they collide perfectly inelasticially, the speed of the balls just after the collision is what
A sledge loaded with bricks has a total mass of 18.1 kilogram and is pulled at constant speed by a rope inclined at 20.3 degree above the horizontal. Find how much work is done by the rope on the sledge
Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. Determine the final speed of the orange disk
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