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An automobile with a mass of 1000kg, including passengers, settles 1.0cm closer to the ground for every 100kg of additional passengers. It is driven at a constant horizontal speed of 20km/hr over a washboard road with sinusoidal bumps. The amplitude and wavelength of the bumps are 5.0cm and 20cm respectively. The distance between the front and back wheels is 2.4m.
Find the amplitude of oscillation of the car assuming it operates as an undamped driven harmonic oscillator. Neglect the mass of the wheels and assume that they are always in contact with the road.
An object has a kinetic energy of 317 J and the momentum of magnitude 24.0 kg · m/s.
Two parallel rods are each 0.50 m in length. They are attached at their centers to either end of the spring (spring constant = 150 N/m) that is initially neither stretched nor compressed.
An alpha particle ( a doubly ionized helium atom with a mass of 6.64 x 10^-27 kg) is traveling with a velocity v=1x10^6 m/s j, What direction is the magnetic field above
While running home from second base a 67 kg runner rounds third base at a speed of 3.1 m/s, What is the centripetal force of this turn on third base
Two 2.7cm -diameter disks face each other, 2.7mm apart. They are charged to ±14nC. What is the electric field strength between the disks
In each of the following cases, the mass is 7.83 kg and the radius is 7.50 cm. What is the moment of inertia (kg m^2) of a solid cylinder rotating about an axis parallel to the symmetry axis but passing through the edge of the cylin..
A Carnot engine performs work at the rate of 480 kW as using 640 kcal of heat per second. If the temperature of the heat source is 540°C, at what temperature is the waste heat exhausted.
A hunter wishes to cross a river that is 2.10 km wide and that flows with a speed of 4.4 km/h. The hunter uses a small powerboat that moves at the maximum speed of 12.60 km/h with respect to the water.
The mass of the blue puck shown below is 20.0% greater than the mass of the green puck. Find the speeds the pucks have after the collision if half the kinetic energy of the system becomes internal energy during the collision
A "105-watt" lightbulb uses an average power of 105 W when connected to an rms voltage of 120 V. What is the resistance of the lightbulb
You are standing still and watching a spaceship fly past. How fast is the spaceship moving, relative to you
As you eat your way through a bag of chocolate chip cookies, you observe that each cookie is a circular disk with a diameter of 8.50 ± 0.02 \rm cm, Find the ratio of the diameter to the thickness
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