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Reptile [31]
1 year ago
10

A 3.0-kg mass and a 5.0-kg mass hang vertically at the opposite ends of a very light rope that goes over an ideal pulley. If the

masses are gently released, what is the resulting acceleration of the masses
Physics
1 answer:
AleksAgata [21]1 year ago
5 0

Answer:

acceleration = 2.4525‬ m/s²

Explanation:

Data: Let m1 = 3.0 Kg, m2 = 5.0 Kg, g = 9.81 m/s²

Tension in the rope = T

Sol: m2 > m1

i) for downward motion of m2:

m2 a = m2 g - T

5 a = 5 × 9.81 m/s² - T  

⇒ T = 49.05‬ m/s² - 5 a     Eqn (a)‬

ii) for upward motion of m1

m a = T - m1 g

3 a = T - 3 × 9.8 m/s²

⇒ T =  3 a + 29.43‬ m/s²   Eqn (b)

Equating Eqn (a) and(b)

49.05‬ m/s² - 5 a = T =  3 a + 29.43‬ m/s²

49.05‬ m/s² - 29.43‬ m/s² = 3 a + 5 a

19.62 m/s² = 8 a

⇒ a = 2.4525‬ m/s²

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A 4.0-mF capacitor initially charged to 50 V and a 6.0-mF capacitor charged to 30 V are connected to each other with the positiv
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Answer:

<em>The final charge on the 6.0 mF capacitor would be 12 mC</em>

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Since the negative ends are joined together  the total charge on both capacity would be;

q = q_{1} -q_{2}

q = 200 - 180

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q = (4 x V) + (6 x V)

20 = 10 V

V = 2 V

For the final charge on 6.0 mF;

q = CV

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Therefore the final charge on the 6.0 mF capacitor would be 12 mC

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You throw a ball of mass 1 kg straight up. You observe that it takes 2.2 s to go up and down, returning to your hand. Assuming w
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Answer:

10.791 m/s

5.93505 m

Explanation:

m = Mass of ball

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v_i = Initial velocity

t_f = Final time

t_i = Initial time

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From the momentum principle we have

\Delta P=F\Delta t

Force

F=mg

So,

m(v_f-v_i)=mg(t_f-t_i)\\\Rightarrow v_i=v_f-g(t_f-t_i)\\\Rightarrow v_i=0-(-9.81)(1.1-0)\\\Rightarrow v_i=10.791\ m/s

The speed that the ball had just after it left the hand is 10.791 m/s

As the energy of the system is conserved

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The maximum height above your hand reached by the ball is 5.93505 m

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2 years ago
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