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A particle of mass 2 units moves along the x-axis attracted toward the origin by the force whose magnitude is numerically equal to 8x. find the differential equation describing the motion
A mass of 180g is held by a horizontal spring of constant 22 N/m. It is displaced from its equilibrium position and released from rest. What is the magnitude of initial displacement
A circular loop of radius 2.58 cm contains 65 turns of tightly wound wire. what torque acts on the loop
The two wires of length 2m are 3mm apart and carry a current of 10 A dc. Calculate the force between these wires
A step-down transformer is used for recharging the batteries of portable devices. The turns ratio N2/N1 for a particular transformer used in a CD player is 4:57. find the power delivered to the CD p
A 12.5 gram bullet is fired into a board. The board is subjected to a force of 3.50x104 Newtons when it hits the board. If the bullet travels 3.50 cm before coming to a stop, what was the initial sp
A 360 kg piano slides 2.5 m down a 28 degree incline and is kept from accelerating by a man who is pushing back on it parallel to the incline
A 63.5kg astronaut is doing a repair in space on the orbiting space station. She throws a 2.35kg tool away from her at 3.60m/s relative to the space station. With what speed will she begin t
Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, Find the speed vfinal of the joined cars after the collision
A charged sphere of mass 3.00E-04 kg is suspended from a string. Find the magnitude of the electric force
A 30 g dart is shot straight up at 9.7m/s . At the same instant, a 24g ball of cork is dropped from 2.0m above the dart. What is the direction of the cork ball immediately after it is hit by the dar
To fit a contact lens to a patient's eye, a keratometer can be used to measure the curvature of the cornea-the front surface of the eye. Determine the radius of curvature of the cornea
In a church choir loft, two parallel walls are 5.70 m apart. The singers stand against the north wall. What width of the north wall can she see
The magnetic flux that passes through one turn of a 18-turn coil of wire changes to 1.0 Wb from 9.0 Wb in a time of 0.092 s. What is the resistance of the wire
A 0.11- kg block on a wooden table is given a sharp blow with a hammer. The block then slides across the table to a stop. How far does the block go
A string trimmer is a tool for cutting grass and weeds; it utilizes a length of nylon "string" that rotates about an axis perpendicular to one end of the string. what is the length of the rotating s
A light bulb has a resistance of 230 ?. It is connected to a standard wall socket (120 V rms, 60.0 Hz). Determine the current in the bulb
In a series circuit, a generator (1384 Hz, 14.4 V) is connected to a 17.1-? resistor, a 3.69-µF capacitor, and a 5.72-mH inductor. Find the voltage across each circuit element
A golf ball of mass 0.045 kg is hit off the tee at a speed of 36m/s . The golf club was in contact with the ball for 3.90×10?3s. Find the average force exerted on the ball by the golf club
A 0.300-kg puck, initially at rest on a horizontal, frictionless surface, Determine the velocity of the 0.300-kg puck after the collision
A single circular loop of wire is placed inside a long solenoid with its plane perpendicular to the axis of the solenoid. What is the induced emf in the small loop
A small electric car overcomes a 260N friction force when traveling 23km/h. What percent of the input power is used to drive the car
A girl with mass m1 and a sled with mass m2 are on the frictionless ice of a frozen lake, How far from the girl's initial position do they meet
Only two horizontal forces act on a 6.3 kg body. One force is 6.0 N, acting due east, and the other is 8.3 N, What is the magnitude of the body's acceleration?
Biological muscle cells can be thought of as nanomotors that use the chemical energy of ATP to produce mechanical work. How much work is done by such proteins