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F (90.8 N)<br />

7<br />

7<br />

11.37: = 3.41×<br />

10 Pa, or 3.4 10 Pa to two figures.<br />

=<br />

3 2<br />

×<br />

A<br />

−<br />

π(0.92×<br />

10 m)<br />

−3<br />

10<br />

−6<br />

2<br />

3<br />

11.38: a) (1.6 × 10 )(20×<br />

10 Pa)(5×<br />

10 m ) = 1.60×<br />

10 N.<br />

the wire would stretch 6.4 mm.<br />

b) If this were the case,<br />

−3<br />

10<br />

−6<br />

2<br />

3<br />

c) (6.5×<br />

10 )(20×<br />

10 Pa)(5×<br />

10 m ) = 6.5×<br />

10 N.<br />

8<br />

−4<br />

2<br />

Ftot ( 2.40 × 10 Pa)(3.00 × 10 m ) 3<br />

2<br />

2<br />

11.39: a = =<br />

− 9.80 m s = 10.2 m s .<br />

m<br />

(1200 kg)<br />

350 N<br />

−7<br />

2<br />

11.40: A = = 7.45×<br />

10 m , so d = 4A<br />

π 0.97 mm.<br />

8<br />

=<br />

4.7×<br />

10 Pa<br />

11.41: a) Take torques about the rear wheel, so that fω d = ωx , or cm<br />

xcm<br />

= fd .<br />

b) ( 0.53)(2.46 m) = 1.30 m to three figures.<br />

11.42: If Lancelot were at the end of the bridge, the tension in the cable would be<br />

(from taking torques about the hinge of the bridge) obtained from<br />

2<br />

2<br />

T(12.0<br />

N) = (600 kg)(9.80 m s )(12.0 m) + (200 kg)(9.80 m s )(6.0 m),<br />

so T = 6860 N. This exceeds the maximum tension that the cable can have, so Lancelot is<br />

going into the drink. To find the distance x Lancelot can ride, replace the 12.0 m<br />

3<br />

multiplying Lancelot’s weight by x and the tension T by Tmax = 5.80×<br />

10 N and solve<br />

for x;<br />

3<br />

2<br />

(5.80×<br />

10 N)(12.0 m) − (200 kg)(9.80 m s )(6.0 m)<br />

x =<br />

= 9.84 m.<br />

2<br />

(600 kg)(9.80 m s )

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