9. A toy cart at the end of a string 0.70 m long moves in a circle on a table. The cart has a mass of 2 kg and the string has a breaking strength of 40 N. Calculate the maximum speed the cart can attain without breaking the string? ( \( 3.74 \mathrm{~m} / \mathrm{s}) \)

Representa la distancia final menos la distancia inicial entre el tiempo final menos el tiempo inicial a. Velocidad vectorial b. Velocidad porcentual c. Velocidad promedio d. Velocidad constante

ค. \( \vec{F}_{1}+\vec{F}_{3}=\vec{F}_{2} \)

Formula 1 point Consider a positive point charge \( \mathrm{Q}=+7.48 \times 10^{-6} \mathrm{C} \) fixed in space. Determine the amount of work (in J) that the electrostatic force does on a negative point charge \( \mathrm{q}=-3.10 \times 10^{-6} \mathrm{C} \) as it brought from infinity to a distance 3.11 cm from charge Q . Write your answer so it is correct to at least 2 decimal places and take the Coulomb's law constant to be \( \mathrm{k}=9.00 \times 10^{9} \mathrm{NC}^{-2} \mathrm{~m}^{2} \) Type your answer...

Formula 1 point A point sound source emits sound equally in all directions at the rate of \( 0.34 \mathrm{~J} / \mathrm{s} \). A nearby microphone has a surface with an area of \( 1.15 \mathrm{~cm}^{2} \) and is directed perpendicularly to the incoming sound wavefronts. The surface of the microphone is a distance of 3.03 m from the sound source. Find the average sound intensity that this microphone would measure (assuming it is perfectly accurate, and there is no background noise). Please express your answer in \( \mathrm{W} / \mathrm{m}^{2} \) and write it in scientific notation that is correct to exact 3 significant figures (as in, for instance \( 9.61^{*} 10^{\wedge}-3 \) ).

Representa la distancia final menos la distancia inicial entre el tiempo final menos el tiempo inicial a. Velocidad vectorial