A proton, which has a mass of 1.67×10−27 kg, starts from very far away with a speed of 3.28×105 ms. It travels towards a sphere fixed in place and gets d = 1.6 m away from it before turning around. What is the net charge of the sphere in units of nanoCoulombs (10−9 C)? Q
In the figure, two circular arcs have radii a = 13.1 cm and b = 10.4 cm, subtend angle θ = 70.0∘, carry current i = 0.371 A, and share the same center of curvature P. What are the (a) magnitude and (b) direction (into or out of the page) of the net magnetic field at P? (a) Number Units (b)
In a vacuum, two particles have charges of q1 and q2, where q1 = +5.2 μC. They are separated by a distance of 0.31 m, and particle 1 experiences an attractive force of 3.6 N. What is the value of q2, with its sign? Number Units
Three vectors a→, b→, and c→, each have a magnitude of 48.0 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 33.0∘, 193∘, and 313∘, respectively. What are (a) the magnitude and (b) the angle of the vector a→ + b→ + c→ (relative to the +x direction in the range of (−180∘, 180∘), and (c) the magnitude and (d) the angle of a→ − b→ + c→ in the range of (−180∘, 180∘)? What are (e) the magnitude and (f) the angle (in the range of (−180∘, 180∘)) of a fourth vector d→ such that (a→ + b→) − (c→ + d→) = 0? (a) Number Unit (b) Number Unit (c) Number Unit (d) Number Unit (e) Number Unit (f) Number Unit
What is the force F→ on the −1.0 nC charge in the middle of the following figure due to the four other charges? Give your answer in component form. 10 Two 1.0 g spheres are charged equally and spaced 2.0 cm apart. When released, they began to accelerate at 150 m/s2. What is the magnitude of charge on each sphere? 5
The drawing shows two situations in which charges are placed on the x and y axes. They are all located at the same distance of 8.30 cm from the origin O. For each of the situations in the drawing, determine the magnitude of the net electric field at the origin.
A +6 μC charge is located at coordinates (2, 5)m, and a−3 μC charge is located at coordinates (2, −4)m. (a) Find the electric field at the origin, in units of V/m. E→ = i^ + j^ (b) Use your previous answer to find the force exerted by these two charges on a −12 μC charge if it is placed at the origin, in units of N. F→ = i^ + j^