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A large asteroid of mass 71700 kg is at rest far away from any planets or stars. A much smaller asteroid, of mass 710 kg, is in a circular orbit about the first at a distance of 311 meters as a result of their mutual gravitational attraction. What is the speed of the second asteroid? Now suppose that the first and second asteroids carry charges of 3.68 C and -3.68 C, respectively. How fast would the second asteroid have to be moving in order to occupy the same circular orbit as before?
A projectile is fired with an initial speed v at an angle of 30 degrees above the horizontal from a height of 40meters above the ground. The projectile strikes the ground with a speed of 1.2v. Find v.
A flashlight on the bottom of a 4-m deep swimming pool sends a ray upward and at an angle so that the ray strikes the surface of the water 1.70-m from the point directly above the flashlight. What angle (in air) does the emerging ray make with wat..
When the water turns to ice during the night, heat is free into the plants, thereby giving them a measure of protection against the falling temperature. Assume a grower sprays 7.64 kg of water at 0°C onto a fruit tree.
A rectanbular tank is placed on wheels and is given a constant horizontal acceleration a. display that, at steady state, the angle made by the free surface with the horizontal is given by tan(delta)=a/g.
A thin, circular disc is made of lead and has a radius of 0.0350 cm at 20.0 °C. find out the change in the area of the circle if the temperature is increased to 625.0 °C. The coefficient of linear thermal expansion for lead is 29.0 x 10-6/C°.
In a popular amusement park ride, a rotating cylinder of radius 4.00 m is set in rotation at an angular velocity of 6.00 rad/s. The floor then drops away, leaving the riders suspended against the wall in a vertical position.
The pilot of an aircraft wishes to fly due west in a 30.50 km/h wind blowing toward the south. The speed of the aircraft in the absence of a wind is 190km/h. What should its speed relative to the ground be.
A steel washer is suspended inside an empty shipping crate from a light string attached to the top of the crate. The crate slides down a long ramp that is inclined at an angle of 39 degrees above the horizontal. The crate has mass 244 kg .
An asteroid is discovered heading straight toward Earth at 14km/s. An international team manages to attach a giant rocket engine to the asteroid. The rocket fires for 10 {rm min}, after which asteroid is moving at 26^circ to its original path at a..
The driver of a 1800 {rm kg} car travelling on a horizontal road at 100 {rm km}/{rm h} suddenly applies the brakes. Because of a slippery pavement, the friction of the road on the tires of the car, which is what slows down the car, is 20.0% of the..
An oscillator with a mass of 420 g and a period of 0.900 s has an amplitude that decreases by 1.90 percent during each complete oscillation.
A 1.80Kg brick is sliding next to on a rough horizontal surface at 13.5m/s .If the brick stops in 4.80, how much mechanical energy is lost.
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