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A sample 114 nd has a mass of 0.055395 kg and emits an average of 2.36 alpha particles per second. Determine the decay constant and the half-life.
A Coast Guard cutter detects an unidentified ship at a distance of 20.2 km in the direction 16.7° east of north. The ship is traveling at 24 km/h on a course at 40.1° east of north. The Coast Guard wishes to send a speedboat to intercept the vesse..
a 56kg student runs at 5.0 m/s, grabs a hanging rope, and swings out over a lake (as shown). He releases the rope when his velocity is zero, draw the FBD of the student on the rope
What is new angular speed of the merry-go-round
On a banked race track, the smallest circular path on which cars can move has a radius of 112 m, find the largest speed at which cars can move on this track without relying on friction
A 8.0 x15 swimming pool slopes linearly from a 1 depth at one end to a 3.70 depth at the other. What is the mass of water in the pool.
Find the minimum volume of concrete (y = 23.6 kN/m3) needed to keep the gate (1 m wide) in a closed position; l = 2 m. Note the hinge at the bottom of the gate. Explain briefly.
The leg and cast weigh 177N (w1). Find out the weight w2 and the angle α required so that no force is exerted on the hip joint by the leg plus cast.
Water flows at speed of 4.9 m/s through a horizontal pipe of diameter 3.2 cm. The gauge pressure P1 of the water in the pipe is 1.5 atm. What is the gauge pressure of the water flowing through the constricted segment in atm
An automobile of mass 1500 kg moving at 25m/s collides with a truck of mass 4500 kg at rest. What is the final velocity of the car after the collision
A 1120 kg four door sedan hits a 1420 kg minivan that is at rest. The two cars lock together and skid 12.0 m on a level surface before stopping. what is the frictional force acting on the two cars
Two freight cars, each with a mass of 2.9 x 10^5 kg, collide and stick together. One was initially moving at 2.80 m/s and the other was at rest. What is the final speed.
A duck has a mass of 2.6 kg. As the duck paddles, a force of 0.11 N acts on it in a direction due east. In addition, the current of the water exerts the force of 0.12 N in a direction of 44° south of east. When these forces begin to act, the velocity..
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