The magnitude of a force vector F→ is 86.6 newtons (N). The x component of this vector is directed along the +x axis and has a magnitude of 71.3 N. The y component points along the +y axis. (a) Find the angle between F→ and the +x axis. (b) Find the component of F→ along the +y axis. (a) Number Units (b). Number Units
II. Two adults push on a 60−kg crate (no friction between the crate and floor). They wish to push the crate straight along the x -axis as shown. a. With what minimum force must the third person push to keep the crate going along the x -axis? b. What would be the crate's acceleration given the third force from part (a)?
A planet of mass 8×1024 kg is at location < −3×1011, 7×1011, 0 > m. A star of mass 9×1030 kg is at location < 7× 1011, −5×1011, 0 > m. What is the force exerted on the planet by the star? (It will probably be helpful to draw a diagram, including the relevant vectors.) F→on planet = N
When a shower is turned on in a closed bathroom, the splashing of the water on the bare tub can fill the room's air with negatively charged ions and produce an electric field in the air as great as 1000 N/C. Consider a bathroom with dimensions 3.0 m×3.7 m×2.5 m. Along the ceiling, floor, and four walls, approximate the electric field in the air as being directed perpendicular to the surface and as having a uniform magnitude of 974 N/C. Also, treat those surfaces as forming a closed Gaussian surface around the room's air. What are (a) the volume charge density ρ and (b) the number of excess elementary charges e per cubic meter in the room's air? (a) Number Units (b) Number Units
The electric field in a particular space is E→ = ((1000.0z + 3000.0) N/C k^ with z in meters. Consider a cylindrical Gaussian surface of radius 10.0 cm that is coaxial with the z-axis. One end of the cylinder is at z = 0, the other end of the cylinder is at z = 2.28 m. What is the net charge contained by the cylinder? C
A race car moves such that its position fits the relationship x = (6.0 m/s)t + (0.65 m/s3)t3 where x is measured in meters and t in seconds. (a) A plot of the car's position versus time is which of the following?
A uniform electric field E→ = −3.3 N/Ci^ points in the negative x direction as shown in the figure. The x and y coordinates of points A, B, and C are given on the diagram (in meters). (Figure 1) Determine the differences in potential VBA = VB−VA, VCB = VC−VB, and VCA = VC−VA. Express your answers using two significant figures separated by commas. Submit Request Answer Provide Feedback Figure 1 of 1
A 20-g arrow traveling at 70 m/s hits a target and penetrates 36 cm before coming to rest. If the archer now uses another arrow with the same mass and fires it with half the initial speed, how far will this arrow penetrate into the same target, assuming the same frictional force?
The velocity of a 6 kg particle is given by v→ = (2t i^ + 5t2 j^) m/s, with time t in seconds. At the instant the net force on the particle has a magnitude of 40 N, what are the direction (relative to the positive direction of the x axis) of (a) the net force and (b) the particle's direction of travel? (a) Number Units (b) Number Units
A 2100-kg car drives with a speed of 18 m/s on a flat road around a curve that has a radius of curvature of 83 m. The coefficient of static friction between the car and the road is 0.78. What is the magnitude of the force of static friction acting on the car? 1.6×104 N 2.1×104 N 8.2×103 N The car will slide as it goes around the curve because the static friction is not strong enough. 5.7×103 N