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An ant’s position is described as follows: r = (2t^3 - 6t^2) *i + (-3t^4 + 2t) *j a. What are the x- and y-components of the position at t = 0s? b. What are the x-and y-components of the velocity at t = 1s? c. What is the magnitude of the velocity at t = 1s? d. What is the direction of the velocity at t = 1s?
A guitar string is vibrating in its fundamental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is 0.385 m. What is the amplitude of this standing wave
A firefighter mounts the nozzle of his fire hose a distance 36.9 m away from the edge of a burning building so that it sprays from ground level at a 45° angle above the horizontal. By what factor was the nozzle diameter changed
A 100 liter water tank is filled to the brim with water when the temperature is 5.00°C. Water has a coefficient of volume expansion of 207 × 10-6/°C. what is the volume of water that overflows the tank
A car that weighs 13800.0 N is initially moving at a speed of 42.0 km/hr when the brakes are applied and the car is brought to a stop in 2.4 s. Find the magnitude of the force that stops the car
A trained dolphin leaps from the water with an initial speed of 12. What is the vertical distance between the dolphin and the ball when the dolphin reaches the horizontal position of the ball
A capacitor has parallel metal plates separated by an air gap of .250mm. The arrangement has capacitance of 285pF (1 pf = 10^-12 Farads) and the plates are given opposite charges of +85 nC and - 85nC.
Sgt Jay sits in a hovercraft 35.2 m above the surface of the planet Bai. The acceleration due to gravity at the Bain surface is 5.67 m/s^(2) down. What is Jay's velocity at t = 4.32s
A flexible, circular conducting loop of radius 0.15m and resistance 4.0(omega sign) lies in a uniform magnetic field of 0.25t. determine the magnitude of the emf induced in the loop
A long, straight telephone cable contains six wires, each carrying a current of 0.300A, If the currents in all six wires are in the same direction, what is the magnitude of the magnetic field 2.70 m from the cable
A force of 150 N is applied to the edge of a disk. If the disk has a mass of 0.75 Kg with a radius of 0.50 m, how fast is its angular acceleration
A three level laser has energy levels E 1=1.50 eV, E 2=3.50 eV, and E 3=5.50 eV. Level E 2 is the metastable state. What is the lasing wavelength
A ray of light is incident on the surface of a block of clear ice at an angle of 34.0° with the normal, Find the angle between the reflected and refracted light.
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