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In 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they scattered alpha particles (nuclei of helium atoms) from thin sheets of gold. An alpha particle, having charge +2e and mass 6.64 10-27 kg, is a product of certain radioactive decays. The results of the experiment led Rutherford to the idea that most of an atom's mass is in a very small nucleus, with electrons in orbit around it. Assume an alpha particle, initially very far from a stationary gold nucleus, is fired with a velocity of 1.72 107 m/s directly toward the nucleus (charge +79e). What is the smallest distance between the alpha particle and the nucleus before the alpha particle reverses direction? Assume the gold nucleus remains stationary.
A bug starts at the origin of the xy coordinate system with an initial velocity of (2.2 + -0.4) m/s, What is the y position of the bug at t=2 seconds
When a certain spring is stretched by an amount x, it produces a restoring force of F(x) = ax=bx^2, where a and b are constants. How much work is done through an external force in stretching the spring by an amount D from its equilibrium length.
A young boy swings a yo-yo horizontally above his head at an angular acceleration of 0.32 rad/s^2. If the tangential acceleration of the yo-yo at the end of the string is 0.15 m/s^2, how long is string.
A student yells across a street at a concrete wall. The student hears an echo 0.500 seconds later. If the speed of sound in air is 343 m/s, what is distance from the student to the wall only.
Three resistors, 23, 45, and 73 ?, are connected in series, and a 0.55-A current passes through them. (a) What is the equivalent resistance? (b) What is the potential difference across the three resistors?
A diver releases an air bubble of volume 2.9 cm3 from the depth of 18 m below the surface of a lake, where the temperature is 7.2°C. What is volume of the bubble when it reaches just below the surface of the lake, where the temperature is 22°C.
Dan is gliding on his skateboard at 4. He suddenly jumps backward off the skateboard, kicking skateboard forward at 8.00 (as measured by an observer on the ground). Dan's mass is 60 and skateboard's mass is 5.00 .How fast is Dan going as his fee..
A 529 kg automobile slides across an icy street at a speed of 66.0 km/h and collides with the parked car which has a mass of 856 kg. The two cars lock up and slide together. What is the velocity of the two cars just after they collide.
A violinist is trying to tune her instrument to 512 Hz, but it is at 491. By what percent does she have to change the tension to tune the violin? Answer A) 1.2% B) 4.1% D) 8.7% E) 12.1% F) 14.5%
Two people push a stalled car at its front doors, each applying a 260 N force at 25 degree to the forward direction. How much work does each person do pushing car 5.5 m.
How much work is done on the toboggan by the tension force? Explain how much work is done if the same tension is directed parallel to the snow?
an electron and a proton are each accelerated through a potential difference pf 10.0 million volts. Find the momentum ( in MeV/c) and the kinetic Energy ( in MeV) of each and compare with the results of using the classical Formular.
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