Q1) The acceleration of a particle as it moves along a straight line is given by a = (2t -1) m/s', wheret is in seconds. If s = 1 m and v = 2 m/s when t = 0, determine the particle's velocity and position when t = 6 s. Also, determine the total distance the particle travels during this time period.
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- A positively charged ball falls vertically along the lines of a uniform electric field. The weight of the ball is larger than the electric force. The air drag force, exerted on the ball, is directly proportional to its speed. The mass and charge of the ball are equal to 0.48 kg and 0.29 C. The magnitude of the electic field is 4.9 V/m. Determine the ratio v1/v2, where v1 and v2 are the speeds of steady (i.e., constant speed) motion when the electric field vector is oriented upwards and downwards, respectively.The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N45°W at a speed of 50 km/h. (This means that the direction from which the wind blows is 45° west of the northerly direction.) A pilot is steering a plane in the direction N60°E at an airspeed (speed in still air) of 250 km/h. The true course, or track, of the plane is the direction of the resultant of the velocity vectors of the plane and the wind. The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane.A plastic ball with a mass of 2 grams is hung on a 10 cm long thin rope as in the spherical figure,a uniform electric field is applied in the + x direction. When the rope is made at an angle of 15 ° verticallyIf the ball is in equilibrium, calculate the net load (in uC) on the plastic ball.
- he electric field in the region of space shown is given by: E = (5i + 2j+6k) N/C, What is the magnitude of the electric flux through the Top face of the cube shown? Given that the length of the cube (L) = 6 m.The position of a particle is given by s=2t^3-40t^2+200t-50 , where s is in meters and t is in seconds. Determine the position, velocity v , and acceleration a when t=2 sec. *A vacuum chamber contains a uniform electric field directed downward. If a proton is shot horizontally into this region, it’s acceleration is? Give direction and relative magnitude
- Draw the acceleration-time, velocity-time, distance-time graph of a particle that has a constant acceleration of 9m/s^2 for 6 seconds and a starting velocity of 5m/s, what is the final velocity and total distance traveledby the particle. (starting distance traveled=0m)1. In a cartesian or x-y plane, a circle is made with the center at the origin having a radius of 6 cm. What are the coordinates (in cm) in terms of “x” and “y” values, if the radius makes an angle of 125˚from the positive x-axis? 2. Point A is at (–9,8) cm while point B is at (5,–7) cm. The distance between points, A and B is what? if you can't answer both because of the rules, kindly answer number 1 only thank youA metal rod having a mass m and length l has resistance R. The rod hangs from two vertical metallic wires of length l in a uniform vertical magnetic field B of a horseshoe magnet (see figure). The wires have negligible resistance. An AC voltage source is connected between the wires which provides a voltage U(t) = U0 cos ωt, where U0 and ω are constants. a) Show that for small angular displacements φ the motion of the rod can be described by the equation U(t) = αφ ̈ + βφ ̇ + γφ, and express the constants α, β, γ in terms of quantities m, l, B, R and the gravitational acceleration g. b) At a certain frequency ω = ω0 the amplitude of the oscillations of the rod becomes large and the equation above does not describe themotion anymore. Estimate the frequency ω0.
- A proton has a mass of about 1.67 x 10^-27 kg. If an electron is placed in a region of space within which a constant electric field exists with magnitude 4.156 N/C, how long would it take this proton to travel a distance of 649.72m in units of ms (milliseconds)? Assume the proton does not collide with anything along the way. Hint: you will need to use the kinematic relationship for linear motion. This results from this problem show you that small charges like protons, and electrons too, move great distances in a short amount of time under very small external electric fields--if those charges are in a vacuum- otherwise, they quickly strike anearby charge. Note: put answer in milliseconds(Electromagnetism) A load distribution of uniform density ρ, forms a very long cylinder of radius a. One end of the cylinder has a spherical depression of radius b > a in such a way that the center of curvature of depression shower falls at a point p on the axis of the cylinder. Find the electric field at point p.hello, i’m studying coordinate system from electromagnetics. In the cartesian coordinate system, the coordinate variables x, y, and z are already length dimensions, so the scaling factors to convert them to length are hx=1, hy=1, and hz=1. In the cylindrical coordinate system, the scaling factors to convert the rho and z into length , are hrho=1 and hz=1. A) what is the hpi that changes coordinate pi into the length? B) in terms of spherical coordinates, what is the hr, htheta , hpi that changes ( r, theta, pi ) of spherical coordinate into the length?