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Two toy locomotives approach each other along the same line, and upon collision both stop dead still. One locomotive has three times the speed of the other and the sum of their masses is 4.98 kg. A
The current in a coil with a self-inductance of 1 mH is 3.0 A at t = 0, when the coil is shorted through a resistor. The total resistance of the coil plus the resistor is 9.0 Ohms. (a) Find the curr
A rock is tossed off the top of a cliff of height 34.5m. its initial speed is 29.1m/s and the launch angle is 30.2degrees with respect to the horizontal. what is the speed with which the rock hits t
A student in a parked car honks the horn, which has a `proper' frequency of 310 Hz. An observer in an approaching vehicle measures the frequency of the sound to be 333 Hz. Calculate the speed of the
A block mass 15.92kg supported by a vertical massless cable is initially at rest. The block is then pulled upward with a constant acceleration of 2.11m/s^2. What is the net force acting on the mass?
An electric motor rotating a workshop grinding wheel at a rate of 9.70 101 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 1.60 rad/s2.
A 100g iron ball (specific heat=0.473 J/gC) is heated to 125C and is placed in a calorimeter holding 200g of water at 25C. What will be the highest temperature reached by the water?
Calculate the molarity and the molality of an NH3 solution made up of 30.0 g of NH3 in 70.0g of water. The density of the solution is 0.982 g/mL. (Notice that we are using both molarity and molality
A 6-year-old girl standing on a toy chest throws a doll straight up with an c of 16 feet per second. The height h of the doll in feet t seconds after it was released is described by the function h(t
Two blocks are attached over a massless, frictionless pulley,Initially the left mass(5kg) is touching the floor, the right(15kg) is 2m up and they are released from rest. Just before the right hits
A car traveling at 30m/s overtakes another car only going 25m/s. When the faster car is still behind the slower car, it sounds a horn of frequency 1500Hz. What is the frequency heard by the driver i
Our Milky Way galaxy is 100,000 ly in diameter. A spaceship crossing the galaxy measures the galaxy's diameter to be a mere 1 ly. What is the speed of the spaceship relative to the galaxy? and How l
During the time 0.315 mol of an ideal gas undergoes an isothermal compression at 21.0°C, 530 J of work is done on it by the surroundings.
Question: In a magnetic field with B=0.50 T, for what path radius will an proton circulate at 0.10 to the speed of light? What will its kinetic energy be? What will change if we replace a proton wit
Gravity fed intravenous infusions are made possible by hanging a bag of fluid above the patient. If blood pressure is 18 mm Hg above atmospheric pressure, find the minimum height of the bag such tha
An RL circuit has a V = 7V battery, a R = 15000 Ohm resistor, and a L=0.7H, connected in series with a switch. The switch is left open for several seconds and then closed at time t = 0. (a) What is
Write down the Lorentz Transformation matrix for motion along the z direction with velocity v.
Question: A system consisting entirely of electrons and alpha particles has a net charge of 1.84*10^-15C and a net mass of 4.56*10^-23 kg. How many electrons and alpha particles are in this system?
Ultrasonic acoustic waves are diffracted by a pair of parallel slits 100mm apart. The zeros in the diffraction pattern are spaced at angular intervals of 8.3 degrees. Calculate the wavelength.
A 5 turn loop of wire with a radius of 4cm moves toward a 0.15T magnetic field in a 3 second time interval. What is the average emf induced in the loop? If the loop has a resistance of 5 ohm, what c
You are traveling in a spaceship at a speed of 0.83c away from Earth. You send a laser beam toward Earth traveling at velocity c relative to you. What do observers on the Earth measure for the speed
An induced emf occurs in a conducting loop of wire 1.12m long as its shape is changed from a circle to an equilateral triangle. What is the average magnitude of the induced emf if the change inn shap
A charge Q is uniformly distributed throughout a nonconducting sphere of Radius R. (a) What is the magnitude of the electric field at a distance of R/2 from the center of the sphere?
A refrigerator has a coefficient of performance of 2.10. Each cycle it absorbs 3.40 104 J of heat from the cold reservoir. During each cycle, how much heat is discarded to the high-temperature reservo
A Carnot engine whose high-temperature reservoir is at 580 K takes in 520 J of heat at this temperature in each cycle and gives up 309 J to the low-temperature reservoir.