8. A new villain is in town: Brutal Flying Insect. Fortunately for the Marvel He

Question

8. A new villain is in town: Brutal Flying Insect. Fortunately for the Marvel Heroes, a new superhero joined as well: the a brilliant scientist. Spidey has tried numerous times, although unsuccessfully, to catch the Br Insect. The super-brilliant mind of Feynman's has developed a plan based on his knowledge ying acquired by flying insects, as the air friction strips electrons from them, and how regarding charge natural spiderweb is using the Coulomb force to attract the insect On the Fantastic Fe advise, Spidey spins a large web (in the vertical plane) between two tall buildings by 50.0 m that produce an electric field of 1.50 x 107 N/c perpendicular to the web. Shortly after, the brutal flying in enters the b zone" horizontally with a charge of 50.0 x 10 C and speed of 30.0 m/s parallel to the web and perpendicular to the electric field. As the villain enters the zone, he (or she) is 5.00 m from the web. Does the web catch the villain, and if so, how deep into the "web zone" does the villain travel? Assume the mass of the Brutal Flying Insect is 68.5 kg, and that the web does not move.

Explanation / Answer

In vertical, Applying Fnet = m a

Fe - W = m a

q E - mg = m a

(50 x 10^-6)(1.50 x 10^7) - (68.5 x 9.8) = 68.5a

a = 1.15 m/s^2 ---Upwards.

In horizontal its velocity is 30 m/s.

And he have to travel 50 horizontally.

time to reach other side , t = 50 / 30 = 5/3 sec

in this, vertical dispalcement, y = ut + at^2/2

(in vertical initial velocity is zero).

y = 0 + 1.15 (5/3)^2 /2 = 1.6 m

but web is 5 m above.

so Web will not be able to catch the villain.

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