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Radioactice substances decay exponentially. The amount of radium present at an time t obeys the law Q(t)= Qoe^-kt, where Qo. is the initial amount present and k is a suitable positive constant. The half-life of a radioactive substance is the time required for a given amount to be reduced by one-half. Now, it is known that the half-life of radium is approximately 1600 years. Suppose initially there are 200 miligrams of pure radium. Find the amount left after t years. What is the amount left after 800 years?
An automobile of mass 1500 kg moving at 25 m/s colides with a truck of mass 4500 kg at rest. What is the final velocity of the truck after the collision
A playground merry-go-round of radius R = 2.20 m has a moment of inertia I = 235 kg · m2, What is the new angular speed of the merry-go-round
A baseball pitcher pitches. Fastball with a horizontal velocity of 40m/s, the horizontal distance from the point of release at home pleat is 17.50m. what is the instantaneous linear velocity of the sweet spot
An object is 24.0 cm from a concave mirror with a focal length of 18.0 cm. How far is the objects image from the mirror
a wire 2.0mm in diameter and 4cmlong is connected to a 12v battery. if the resistivity of the wire is 3.5 x 10-5 ohm-m
What is the force exerted on beam by the fixture P (P is where the beam is attached horizontally to the brick wall) at the wall (magnitude and direction).
A car is driven 165 km west and then 95 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)?
A disk-shaped space station 175 m in diameter spins uniformly about an axis perpendicular to the plane of the disk through its center. How many rpm (rev/min) must this disk make
Why is the thermal energy not shared instantaneously with the rest of the block to warm it as a whole?
Two automobiles of identical mass approach an intersection. One car is traveling with velocity 14.5 m/s toward the east and the other car is traveling north with speed v2i. Find the initial speed of the northward-moving vehicle
a disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. at one
A juggler on stilts throws a ball straight up, from a height of 2.5cm. It reaches a height of 3.5m, and then falls back to the ground. What is the impact velocity when it hits the ground
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