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1. Given the value for the universal gravitational constant, the average value for the acceleration due to gravity at the surface of Earth, and the radius of Earth, determine Earth's mass. Note: Use 6.37 x 106 m as the Earth's radius? Show all work.
2. Density is a measure of the mass per unit of volume for a material. Mathematically, this can be expressed in units of kg/m3. Given that the equation for the volume of a sphere is based on radius, determine the density of Earth. Show all work.
3. An 800 g rock is tied to a string and whirled in a vertical circle with a 75 cm radius and a frequency of rotation of 1.6 Hz.
a) Assuming a constant velocity, determine the tension in the rope at the top of the circle. Show all Work.
b) Assuming a constant velocity, determine the tension in the rope at the bottom of the circle. Show all work.
A 200 g ball is thrown upwards with an initial kinetic energy of 10 Joules. What maximum height will the ball reach? (Neglect air resistance).
A cannonball is fired horizontally at 200m/s off the top of a 50m tall cliff. how far will the ball land from the cliff bottom
A railroad freight car, mass 15,000 kg, isallowed to coast along a level track at a speed of 2.0 m/s. Itcollides and couples with a 50,000 kg loaded second car, initiallyat rest and with brakes released.
A singly ionized helium atom is in the ground state. It absorbs energy and makes a transition to the n = 3 excited state. What is their wavelengths
The intake to a hydraulic turbine installed in a flood control dam is located at an elevation of 10 m above the turbine exit. what is the mass flow rate fo water, in kg/s
What is the total force on the bottom of a swimming pool 13.0m by 6.9m whose uniform depth is 2.1m ? What is the absolute pressure on the bottom of a swimming pool? What will be the pressure against the side of the pool near the bottom?
two parallel plate capacitors have circular plates. the magnitude of the charge on these plates is the same. however
a boat takes 3.00 hrs to travel 25.0 km down a river then 6.00 hrs to return. how fast is the river moving
A "seconds pendulum" is one that moves through itequilibrium position once each second. (The period of the pendulumis 2.000 s.) The length of a seconds pendulum is 0.9921 m at Tokyo and 0.9949m at Cambridge, England.
A 7.0kg hammer strikes a nail at a velocity of 8.6m/s and comes to rest in a time interval of 8.0 ms, estimate the average force acting on the nail
a wire of length L has a resistance R if it is cut into three equal lengths that are placed side by side and tightly twisted together, what is the equivalent resistance of the twisted wires
An unstable particle is at rest and suddenlybreaks up into two fragments. What is thevelocity of the more massive fragment
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