1. A particle of mass m and charge q is dropped from height of 3h above...
1. A particle of mass m and charge q is dropped from height of 3h above the ground. The particle starts from rest and its starting position is (x, y) = (0, 3h). At height 2h, the particle enters a uniform electric field of magnitude E pointing in the negative x direction. The magnitude of the force on the particle due to the electric field is qE. The particle exits the electric field at height h. A cup is placed at position xc along the x-axis. In this problem, you will find the required electric field strength to ensure that the particle lands in the cup.
(a) Determine the position and velocity of the particle when it reaches y = 2h. Determine how much time the particle spends in the region 2h < y < 3h.
(b) Determine the position and velocity of the particle when it reaches y = h. Determine how much time the particle spends in the region h < y < 2h.
(c) Determine the position and velocity of the particle when it reaches y = 0. Determine how much time the particle spends in the region 0 < y < h.
(d) If the position of the cup is xc, what is the value of E required to ensure that the particle lands in the cup? Give your answer in terms of m, g, q, h, and xc.
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1. A particle of mass m and charge q is dropped from height of
3h above...
1. A particle of mass m and charge q is dropped from height of 3h above...
1. A particle of mass m and charge q is dropped from height of 3h above the ground. The particle starts from rest and its starting position is (x, y) (0,3h). At height 2h, the particle enters a uniform electric field of magnitude E pointing in the negative r direction. The magnitude of the force on the particle due to the electric field is qE. The particle exits the electric field at height h. A cup is placed at position...
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1. A particle of mass m and charge q is dropped from height of 3h above the ground. The particle starts from rest and its starting position is (x, y) (0,3h). At height 2h, the particle enters a uniform electric field of magnitude E pointing in the negative r direction. The magnitude of the force on the particle due to the electric field is qE. The particle exits the electric field at height h. A cup is placed at position...
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