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Two air-filled balloons each have a mass of m-3.7 g. Each balloon hangs from the same point by its own string of length Z-0.45 m. Each balloon is rubbed to give it
a
static charge. Both balloons are rubbed the same amount, so each balloon has the
same unknown charge (91-92). The hanging balloons push away until each makes
and angle of 0-15° with respect to the vertical.
Part (a)✓
Choose the best Full Body Diagram of the LEFT balloon
✓ Correct!
Part (b)
Write an expression for the magnitude of the repulsive force required to keep the left balloon in this position.
FE-
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Two Airfilled Balloons Each Have A Mass Of M37 G Each Balloon Hangs From The Same Point By Its Own String Of Length Z045 M Each Balloon Is Rubbed To Give Ita St class=

Sagot :

MathPhys

Answer:

F = mg tan θ

Explanation:

For an object in equilibrium, the net force in the x and y directions must be zero. Drawing a free body diagram for the left balloon, there are three forces:

  • Tension force T pulling up 15° right of vertical
  • Weight force mg pulling straight down
  • Electrostatic force F pushing left

Sum of forces in the y direction:

∑F = ma

T cos θ − mg = 0

T cos θ = mg

Sum of forces in the x direction:

∑F = ma

T sin θ − F = 0

T sin θ = F

Divide the second equation by the first equation to eliminate the tension force T:

(T sin θ) / (T cos θ) = F / (mg)

tan θ = F / (mg)

F = mg tan θ

View image MathPhys
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