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Q1. A spaceship of mass 2.50806 kg is to be accelerated to a speed of 0.820c.
(a) What minimum amount of energy does this acceleration require from the spaceship's fuel, assume perfect efficiency? In joules
(b) How much fuel would it take to provide this much energy if all the rest energy of the fuel could be transformed to kinetic energy of the spaceship? In kg
Q2. A 28.0 {rm kg} child plays on a swing having support ropes that are 2.20 {rm m} long. A friend pulls her back until the ropes are 45.0^circ from the vertical and releases her from rest.
Q3. A bungee jumper, who's mass is 79 kg, jumps from a tall building. After reaching his lowest point, he continues to oscillate up and down, reaching the low point two more times in 8.2 s. ignoring air resistance and assuming that the bungee cord is an ideal spring, how to decide its spring constant.
Two positive point charges are a fixed distance apart. The sum of their charges is QT. What charge should each have in order to (a) maximize an electric force between them, and (b) minimize it.
A 47 kg person, standing 0.980 m from the axis, begins to run on the disk in a circular path and has a tangential speed of 3.10 m/s relative to the ground. Find resulting angular speed (in rad/s) of the disk.
An un-tethered block sits on a flatbed truck as it accelerates up an incline that makes an angle of 15° with respect to the horizontal. What is the coefficient of static friction between the truck and the block
A sophomore with nothing better to do adds heat to 0.440kg of ice at 0 oC until it is all melted. The source of the heat is a very massive body at a temperature of 25.0 oC. What is the change in entropy of this body
A 180, 48.0 cm-diameter turntables rotate on frictionless bearings at 70.0. A 15.0 block sits at the center of turntable. A compressed spring shoots the block fundamentally outward along the frictionless groove in the surface of the turntable.
Take the mass of the sun to be m_s = 1.99×1030 {rm kg}, gravitational constant to be G = 6.67×10-11 {rm N} cdot {rm m^2/kg^2}, and an acceleration due to gravity at the earth's surface to be g = 9.810 {rm m/s^2}.
A parallel beam of light from a He-Ne laser, with a wavelength of 662nm, falls on two very narrow slits 0.050 mm apart. How far apart are the fringes in the center of the pattern if the screen is 2.5m away.
The cable below supports a unoformly distributed load. The max tension that the cable can withstand is 41 x 10^6 N, What minimum length of cable is needed
Four closed surfaces, S1 through S4, together with the charges %u22122Q, Q, Find the electric flux through each surface
A 190g ball is dropped from a height of 1.9m , bounces on a hard floor, and rebounds to a height of 1.4m. What maximum force does the floor exert on the ball
The electric field near the middle of a long, thin, uniformly charged rod is 3.6x10^4 N/C at a distance of 9.50 cm from the rod. If the rod's length is 17.8 m
Extimate the thickness of a glass at a bright fringe and the Brewster's angle for light traveling from air to glass.
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