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(a) Calculate the average velocity of this particle between t = 5 seconds and t = 6 seconds. (b) At what time during this interval is the average velocity equal to the instantaneous velocity?
To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 310 m/s at 49.0° above the horizontal. It explodes on the mountainside 35.0 s after firing. Wha
A soccer ball is kicked from the ground with an initial speed of 21.0 m/s at an upward angle of 45°. A player 58.0 m away in the direction of the kick starts running to meet the ball at that ins
The index of refraction for violet light in silica flint glass is 1.66 and that for red light is 1.62. What is the angular dispersion of visible light passing through an equilateral prism of apex an
A laser beam is incident at an angle of 28.2° to the vertical onto a solution of corn syrup in water. (a) If the beam is refracted to 19.04° to the vertical, what is the index of refraction of
The plane decelerates through the intersection at a rate of 6.40 m/s2 and clears it with a final speed of 41.2 m/s. How much time is needed for the plane to clear the intersection?
An underwater scuba diver sees the Sun at an apparent angle of 47.0° from the vertical. What is actual direction of the Sun?
What is the total charge on the ‘heads' face of the silver dollar? Since the silver dollar is a U.S. coin, its dimensions are in imperial units with a diameter of d=1.5 inches
What must the electric potential difference be if the exit speed is 3.0*10^6 m/s? what is the magnitude of the electric field?
(a) By how much did the speeds differ at the beginning of the 5.70 -second interval, and (b) which motorcycle was moving faster?
Using electronic equipment, the astronaut measures the time for a transverse pulse to travel the length of the wire and obtains a value of 0.108 s. The mass of the wire is negligible compared to the
(a) What was the speed (in m/s) of the wave? For reference, the speed of a 747 jetliner is about 250 m/s. Find the wave's (b) frequency and (c) period.
The speed of a transverse wave on a string is 479 m/s, while the wavelength is 0.257 m. The amplitude of the wave is 2.06 mm. How much time is required for a particle of the string to move through a
What is the magnetic field at the edge of a 1 m diameter capacitor having a 1 mm gap charging with a 1 A instantaneous current carried by long wires as shown? What is the magnetic field 0.5 m from a
What are the sum and difference frequencies between A, 440 Hz and C, 523.25 Hz? What frequencies will a spectrum analyzer report when the two notes are played simultaneously?
One pulse is delivered every time the fully charged capacitor loses 64.7% of its original charge. What is the capacitance of the capacitor?
Between flashes, the capacitor recharges through a resistor whose resistance is chosen so the capacitor recharges with a time constant of 3.0 s. Determine the value of the resistance.
Find the electric field magnitude and direction (a) at the center of the square, (b) at the point (-a, -a), and (c) at the point (1/2a, 0). In each case state which protons contribute to the field y
Two particles with equal mass have positive charges of 1.0 microCoulombs and 1.0 nanoCoulombs. What is their mass if their mutual gravitational attraction balances their Coulomb repulsion? Why is th
Two submarines are underwater and approaching each other head-on. Sub A has a speed of 18 m/s and sub B has a speed of 14 m/s. Sub A sends out a 1040-Hz sonar wave that travels at a speed of 1522 m
determine its acceleration and the normal force on the rod at the instant that y= 1m. The force of the spring is found by F=ks, where k is the stiffness and s is the distance the spring is stretched
If the ambulance is stationary and you (the "observer") are sitting in a parked car, what are the wavelength and the frequency of the sound you hear?
A stone is dropped into a well and a splash is heard 2 seconds later. If the speed of sound in air is given as 343m/s, what is the depth of the well? Explain please.
In the measurement of length of a cylinder, the main scale reading of a vernier caliper is 1.5 cm, the vernier reading is 6, and the least count of the vernier is 0.01 cm. Find the reading of the l
A car starts from rest on a circular track that has a radius of 300m. It accelerates with a constant tangential acceleration of at= 0.75m/s^2. Determine the distance travelled and the time elapsed w