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In the following diagram there is a coefficient of friction, μ, of 0.15 between the 5.0 kg mass and the surface. Calculate the tension in the cable connecting the two masses and the resulting ac
A source emits 531.62-nm and 531.81-nm light. What minimum number of grooves is required for a grating that resolves the two wavelengths in the first-order spectrum?
A community plans to build a facility to convert solar radiation to electrical power. They require 0.7 MW of power, and the system to be installed has an efficiency of 14% (that is, 14% of the solar
One simple model for a person running the 100m dash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line.
A mass of 3.700 kg is suspended from a 1.410 m long string. It revolves in a horizontal circle. The tangential speed of the mass is 2.632 m/s. Calculate the angle between the string and the vertica
The left with constant acceleration a. The cars are moving along the same lines directly toward each other. At what time do they collide, in terms of D, v0, and a?
Consider two conducting spheres with radii R1 and R2 separated by a distance much greater than either radius. A total charge Q is shared between the spheres. We wish to show that when the electric p
Assuming the sand causes a constant acceleration, what was the bicycle's acceleration in the sandy patch? Give both magnitude and direction.
How much work did the movers do (horizontally) pushing a 44.0-kg crate 10.1m across a rough floor without acceleration, if the effective coefficient of friction was 0.60?
A second object is propelled vertically up from ground level with a speed of 20 m/s. At what height above the ground will the two objects pass each other? The acceleration of gravity is 9.8 m/s2.
Draw the force vectors acting on m1 such that their tails align with the center of the block labeled m1 (indicated by the black dot). Draw the force vectors acting on m2 with their tails aligned wit
Consider two identical bodies with specific heat capacity c p and with negligible thermal expansion coefficients. Show that when they are placed in thermal contact in an adiabatic enclosure their f
Neglecting air friction, what minimum projection angle would achieve this result? What maximum pro- jection angle would achieve this result?
The primary coil of a transformer has 237 turns; the secondary coil has 2100 turns. An alternating current is sent through the primary coil. The emf in the primary is 25 V. What is the emf amplitud
A certain telescope has a 5 ′ ×5 ′ 5<units>'</units> times 5<units>'</units> field of view that is recorded using a CCD chip having 2048×2048 2048 tim
A bottle of wine known as a squinch contains a volume of 1.1 liters. A bottle known as a serroboam contains 7.5 U.S. gallons. How many squinches are there in one serroboam?
A crate has the dimensions of 1.0 m x 1.2 m x 0.80 m. If there are 3.28 feet per meter then what is the volume of the crate in cubic feet?
A plane inclined at an angle (theta) is covered with dust. An essentially mass-less dustpan on wheels is released from rest and rolls down the plane, gathering up dust. The density of the dust in t
After dropping off supplies it flies to Lake B, which is 170 km at 30.0° west of north from Lake A. Graphically determine the distance and direction from Lake B to the base camp.
A billiard ball collides elastically with an identical stationary one. By looking at the collision in the Center of Mass frame, show that the angle between the resulting trajectories in the lab fra
41.1 min at 37 km/h, and spends 15.4 min along the way eating lunch and buying gas. Determine the average speed for the trip.
A 1.60-m tall person lifts a 2.10-kg book from the ground so it is 2.20 m above the ground. (a) What is the potential energy of the book relative to the ground? Number Units (b) What is the potentia
While mopping the deck, a sailor pushes with a force of 30 N down on the handle of his mop at an angle of 45 to the horizontal. If the mop accelerates horizontally at 1.0 m/s2 and the coefficient o
A certain radioactive isotope placed near a Geiger counter registers 160 counts per second. 32 hours later, the counter registers 10 counts per second. What is the half-life of the isotope?