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fisica1-youn-e-freedman-exercicios-resolvidos

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4.43:<br />

a) The engine is pulling four cars, and so the force that the engine exerts on the first car<br />

is 4 m a r . b), c), d): Similarly, the forces the cars exert on the car behind are<br />

r r<br />

3 m a , 2m a and − m a r . e) The direction of the acceleration, and hence the direction of<br />

the forces, would change but the magnitudes would not; the answers are the same.<br />

4.44: a) If the gymnast climbs at a constant rate, there is no net force on the gymnast, so<br />

the tension must equal the weight; T = mg .<br />

b) No motion is no acceleration, so the tension is again the gymnast’s weight.<br />

c) T − w = T − mg = ma = m a r (the acceleration is upward, the same direction as the<br />

tension), so T = m( g + a r ) .<br />

d) T − w = T − mg = ma = −m<br />

a r (the acceleration is downward, the same opposite as<br />

the tension), so T = m( g − a r ) .<br />

4.45: a)<br />

The maximum acceleration would occur when the tension in the cables is a maximum,<br />

a<br />

F<br />

m<br />

T − mg<br />

m<br />

T<br />

m<br />

net<br />

= = = − g<br />

=<br />

28 ,000 N<br />

2<br />

− 9.80 m / s = 2.93 m / s<br />

2 .<br />

2200 kg<br />

28,000 N<br />

2<br />

b) − 1.62 m /s<br />

2 = 11.1m /s .<br />

2200 kg

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