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If the spring constant k = 5.0\times 10^2 \rm \;{N/m}, the baby has a mass m = 11\;{\rm kg}, and the baby's legs reach a distance d = 0.15\; \rm m from the bouncer, what should be the height h of the "empty" bouncer above the floor?
Consider a particle of mass that is revolving with angular speed around an axis. The perpendicular distance from the particle to the axis is . Part A Find the kinetic energy K of the rotating particle. Express your answer in terms of m, r, and omega.
As a new electrical technician, you are designing a large solenoid to produce a uniform 0.200 T magnetic field near its center. You have enough wire for 3950 circular turns, and the solenoid must be 1.60 m long and 20.0 cm in diameter. What current w..
A long and narrow rectangular loop of wire of width 0.080 m is moving toward the bottom of the screen with a speed of 0.017 m/s (see the drawing). The loop is leaving a region in which a 2.3-T magnetic field exists;
Car 1 has a mass of m1 = 65000 kg and a velocity of v01 = +0.80 m/s. Car 2 has a mass of m2 = 92000 kg and a velocity of v02 = +1.2 m/s, overtakes car 1 and couples to it. Determine the velocity of their center of mass (a) before and (b) after the co..
A 5.57-g bullet is moving horizontally with a velocity of +344 m/s, where the sign + indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resis..
If random samples, each with n = 36 scores, are selected from a normal population with µ = 80 and ? = 18, how much difference, on average, should there be between a sample mean and the population mean?
The output voltage of a 63 W transformer is 15 V, and the input current is 17A. By what factor is the voltage multiplied? Assume 100% efficiency. . .
A wagon is coasting at a speed vA along a straight and level road. When thirty-four percent of the wagon's mass is thrown off the wagon, parallel to the ground and in the forward direction, the wagon is brought to a halt. If the direction in which th..
A student sitting on a frictionless rotating stool has rotational inertia 0.90 kg*m^2 about a vertical axis through her center of mass when her arms are tight to her chest. The stool rotates at 6.80 rad/s and has negligible mass.
An 85-kg jogger is heading due east at a speed of 1.9 m/s. A 55-kg jogger is heading 24° north of east at a speed of 3.8 m/s. Find the magnitude and direction of the sum of momenta of the two joggers.
A wheelchair athlete is training on a stationary ergometer. Her wheel's angular velocity is 3 rev/s and diameter is 80.0 cm. What is the linear velocity at the wheel's circumference
An AC voltage source, with a peak output of 200V, is connected to a 50 ohm resistor. What is the rate of energy dissipated due to heat in the resistor
A textbook of mass 1.96 kg rests on a frictionless, horizontal surface. What is the moment of inertia of the pulley about its rotation axis
A room with dimensions 10 x 10 x 20 meters is filled with air at 20 degrees C, 101 kPa and relative humidity 0.8. What is the mass of water vapor in the room, in units of kg
A certain fluid has a density of 1040 kg/m3 and is observed to rise to a height of 2.4 cm in a 1.0-mm-diameter tube. Calculate the surface tension of the fluid
A 2-2-2 kinematic coupling uses 19-mm silicon nitride balls and tungsten carbide vees. Determine the Hertz contact stresses for a 50 N coupling load. Is this kinematic coupling overloaded? Where are the locations of maximum compressive, shear and ten..
A tortoise and hare start from rest and have a race. As the race begins, both accelerate forward. The hare accelerates uniformly at a rate of 0.9 m/s2 for 4.5 seconds. What is the acceleration of the tortoise
To stretch a certain spring by 3.00 from its equilibrium position requires 9.50 of work. What was the maximum force required to stretch it
Two cars collide at an intersection. Car A with a mass of 1800kg, is going from west to east, while car B of mass 1400kg, How fast was car A going just before the collision
A bar magnet is oriented with its magnetic dipole moment at 38.5° to the direction of a 0.0145-T magnetic field, Find the magnitude of the magnet\'s magnetic dipole moment
Use Gauss's Law and Ampere's Law to find both the capacitance per unit length and the inductance per unit length of a coaxial cable with an outer radius of 4.5mm and an inner radius of 1.5mm
A motorboat traveling on a straight course slows uniformly from 60 km/h to 40 km/h in a distance of 50 m. What is the boat's acceleration
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