Two particles, labeled A and B, are initially held at rest with a separation of

Question

Two particles, labeled A and B, are initially held at rest with a separation of 364.0 cm. The mass of particle A is 28.8 g and the mass of particle B is 49.6 g. The two particles are then released and move toward each other under the influence of an attractive force between them which is proportional to the product of their masses and inversely proportional to the distance between them. How far from the initial position of particle A do the two particles collide? cm A fireman directs a stream of water into the watertight bed of a truck. The water emerges horizontally from the nozzle at rate 299.0 kg/min with speed 31.00 m/s. Take the water to hit the front of the bed of the truck horizontally and then to drop down and accumulate without splashing out. The mass of the truck (bed empty) is 2000 kg and it is free to move without friction. Initially the truck is at rest and the bed is empty. What is the magnitude of its acceleration at that instant? Two minutes later the truck is moving with a speed of 7.14 m/s. What is its acceleration at that instant? m/s^2 m/s^2

Explanation / Answer

mA = 28.8 g, mB = 49.6 g

From the center of mass of the system

xcm = mA xA * m2 xB / (mA + mB)

= (0 + 49.6 * 364) /(28.8 + 49.6)

= 230.3 cm

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