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Brain injuries in auto accidents. Brain injuries generally occur any time the brain's acceleration reaches 100 g for even a short time. Consider a car running into a solid barrier. With an airbag, the driver's head moves through a distance of 20 cm while the airbag stops it. Without an airbag, the head continues forward until the seatbelt stops the torso, causing the head to stop in a distance of only 5.0 cm.
a) Find the maximum speed with which the car can strike the barrier without causing brain injury, using an airbag.
b) Find the maximum speed with which the car can strike the barrier without causing brain injury, without using an airbag.
A 4.00 {rm A} current runs through a 12 gauge copper wire (diameter 2.05 {rm mm}) and through a light bulb. Copper has 8.5 times 10^ {28} free electrons per cubic meter.
A patient has a near point of 45.0 cm and far point of 85.0 cm. Calculate the power lens needed to correct the patient's far point
Planet X rotates in the same manner as the earth, around an axis through its north and south poles, and is perfectly spherical. How long is the day on Planet X
A magnifier has a magnification of 8 times. How far from the lens should an object be placed so that its (virtual) image is at the near-point distance of 25 {rm cm}.
A damped mass-spring system oscillates at 140 Hz. The time steady of the system is 2.0 s. At t = 0, the amplitude of oscillation is 8.6 cm and the energy of the oscillating system is after that 86 J.
a falling rubber ball bounces off the floor. the velocity just before it hits the floor is Vi= (2.7m/2) x + (5.2m/s)y. what is the change in momentum of the ball from just before to just after it is in contact with the floor
A styrofoam cooler (k = 0.030 W/(m·K)) has outside dimensions of 0.270 m by 0.230 m by 0.280 m, and an average thickness of 2.6 cm. About how long would it take for 1.60 kg of ice at 0 °C to melt in the cooler if the outside temperature is 30.0 °C..
An airplane is flying in a horizontal circle at a speed of 520 km/h. If the wings of the plane are tilted 34° to the horizontal, what is the radius of the circle (in m) in which the plane is flying? Assume that the required force is provided entir..
A vertical wall (7.2 m 2.8 m) in a house faces due east. A uniform electric field has a magnitude of 150 N/C. What is the electric flux through the wall
A cube has sides of length = 0.320 . It is placed with one corner at the origin. The electric field is not uniform but is given by -4.95 2.17 .Find out the electric flux through each of the six cube faces.
A 36.0 µF capacitor is connected to a 49.0 omegacap.gif resistor and a generator whose rms output is 30.0 V at 60.0 Hz. find The rms voltage drop across the resistor.
There is a square with 4 charges. q3 is 3x10^-6 C and in the top left q4 is -2x10^-6 C and in the top right q2 is 2x10^-6 C and in the bottom left q1 is 4x10^-6 C and in the bottom left The distance between each charge on the outer edge of the squ..
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