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A car tyre is pumped up to 230 kPa. What is the volume of air at atmospheric pressure (100kPa) that must be pumped into a tyre that has a volume of 0.1 cubic meter?
A block starting atop a frictionless hemispherical dome starts sliding from rest. Write down the two equations of motion of the block in terms of r and ? (i.e. use polar coordinates).
A space probe on the surface of Mars sends a radio signal back to the Earth, a distance of 8.48 x10^7 km. Radio waves travel at the speed of light (3.00 x10^8 m/s). How many seconds does it take for the signal to reach the Earth.
What is the frequency of the small axial oscillations that the electron will undergo if it is free along the z-axis near the origin.
An alpha particle with kinetic energy 17 MeV makes a head-on collision with a lead nucleus at rest. What is the distance of closest approach of two particles.
A bullet of mass m = 25 g is fired into a wooden block of mass M = 4.5 kg. The block is attached to a string of length 1.5 m. The bullet is embedded in the block, causing block to then swing.
An intergalactic rock star bangs his drum every 1.52 s. A person on earth measures that time between beats is 2.10 s. How fast is the rock star moving relative to the earth.
Suppose that the sound level of a conversation is initially at an angry 70 dB and then drops to a soothing 50 dB. Assuming that the frequency of the sound is 500 Hz, determine the (c) initial and (d) final sound wave amplitudes.
Find the force to keep object moving.
A girl on a sled coasts down a hill. Her speed is 7.60 m/s when she reaches level ground at the bottom. The coefficient of kinetic friction between sled's runners and the hard, icy snow is 0.04, and the girl and sled together weigh 644N.
The truck is parked on the platform of a weight scale. Explain by how much does the scale reading exceed the weight of the truck and sand?
Objects with masses of 145kg and a 445kg are separated by 0.330m. At what position (other than infinitely remote ones) can the 32kg object be placed so as to experience the net force of zero.
A small fly of mass 0.27 grams is caught in a spider's web. The web vibrates predominately with a frequency of 4.50 Hertz. What is the value of the effective spring constant stiffness constant for the web.
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