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5. An Atwood\'s machine is shown, with m1=65 g and m2 = 35 g. The system is rele

ID: 1462211 • Letter: 5

Question

5. An Atwood's machine is shown, with m1=65 g and m2 = 35 g. The system is released from rest. The distance travelled by the first block in the first 2 seconds is: 6. A 5.0-kg can is moving horizontally at 8.0 m/s. In order to change its speed to 10.0 m/s, the net work done on the can must be: 7. A 0.20-kg particle moves along the x axis, under the influence of a conservative force. The potential energy is given by where x is in coordinate of the particle. If the particle has a speed of 11.0 mist it is at x = 1.0 m, its speed when it is at the origin is: 8. A small object slides along the frictionless loop-the-loop with a diameter of S m. What Mum speed must it have at the top of the loop in order to remain to contact with the loop?

Explanation / Answer

5.

given m1 = 65 g , m2 = 35 g

in an atwood machine , acceleration of the masses is given as

a = (m1 - m2) g / (m1 + m2)                   where m1 > m2

a = (65 - 35) (9.8) / (65 + 35)

a = 2.94 m/s2

Vi = initial velocity = 0 m/s

t = time = 2 sec

Using the equation

d = Vi t + (0.5) a t2

d = 0 (2) + (0.5) (2.94) (2)2

d = 5.88 m

c)

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