Question

In: Physics

In the vertices of a square of side 2x10 ^ -7 four protons are placed. A...

In the vertices of a square of side 2x10 ^ -7 four protons are placed. A fifth proton is initially perpendicular to the square at its center at a distance of 2x10 ^ -9 m from it. Calculate (a) the minimum initial velocity of the fifth proton you need to get to the center of the square (b) your initial and final accelerations. (c) graph the potential energy of the proton as a function of its distance from the center of the square.

Solutions

Expert Solution

Solution-

a)

Electrostatic potential energy= kqq/r

K.E. needed to just get proton at the center is

So

So

b)

Initial and final acceleration depends on force action on an object

c)

CURVE

So as


Related Solutions

Four protons are placed in the vertices of a square with a side of 2 x...
Four protons are placed in the vertices of a square with a side of 2 x 10^-9 m. A fifth proton is initially on the square perpendicular to its center, at a distance of 2 x 10^-9 m from it. Calculate (a) the minimum initial velocity that the fifth proton needs to reach the center of the square, (b) its initial and final accelerations. (c) Make a graph of the proton's potential energy as a function of its distance to...
Four protons are placed in the vertices of a square with a side of 2 x...
Four protons are placed in the vertices of a square with a side of 2 x 10-9 m. A fifth proton it is initially on the perpendicular to the square by its center, at a distance of 2 x 10-9 m from it. Calculate (a) the minimum initial velocity that the fifth proton needs to reach the center of the square, (b) its initial and final accelerations. (c) Make a graph of the proton's potential energy as a function of...
In the vertices of a square of the side 2 x10 ^ -9 four protons are...
In the vertices of a square of the side 2 x10 ^ -9 four protons are placed. A fifth proton is initially perpendicular to the square in its center, at a distance of 2 x 10 ^ -9 thereof. Calculate (a) the minimum initial velocity that the fifth proton needs to reach the center of the square, (b) its initial and final accelerations. (c) graph the potential energy of the proton as a function of its distance from the center...
Four point charges are at the corners of a square of side a as shown in...
Four point charges are at the corners of a square of side a as shown in the figure below. Determine the magnitude and direction of the resultant electric force on q, with ke, q, and a in symbolic form. (Let B = 5.5q and C = 2.0q. Assume that the +x-axis is to the right and the +y-axis is up along the page.) magnitude = _______  direction = _______   counterclockwise from the +x-axis
Four point charges are at the corners of a square of side a as shown in...
Four point charges are at the corners of a square of side a as shown in the figure below. Determine the magnitude and direction of the resultant electric force on q, with ke, q, and a in symbolic form. (Let B=5.5q and C=8.0q. Assume that the +x-axis is to the right and the +y-axis is up along the page.) 
Three frogs are placed on three vertices of a square. Every minute, one frog leaps over...
Three frogs are placed on three vertices of a square. Every minute, one frog leaps over another frog, in such a way that the "leapee" is at the midpoint of the line segment whose endpoints are the starting and ending positions of the "leaper". Will a frog ever occupy the vertex of the square which was originally unoccupied?
Four identical particles of mass 0.738 kg each are placed at the vertices of a 4.28...
Four identical particles of mass 0.738 kg each are placed at the vertices of a 4.28 m x 4.28 m square and held there by four massless rods, which form the sides of the square. What is the rotational inertia of this rigid body about an axis that (a)passes through the midpoints of opposite sides and lies in the plane of the square,(b)passes through the midpoint of one of the sides and is perpendicular to the plane of the square,...
A square coil of wire of side 3.00 cm is placed in a uniform magnetic field...
A square coil of wire of side 3.00 cm is placed in a uniform magnetic field of magnitude 1.75 T directed into the page as in the figure shown below. The coil has 38.0 turns and a resistance of 0.780 Ω. If the coil is rotated through an angle of 90.0° about the horizontal axis shown in 0.335 s, find the following. (a) the magnitude of the average emf induced in the coil during this rotation (b) the average current...
Four identical particles of mass 0.50 kg each are placed at vertices of a 2.0 m...
Four identical particles of mass 0.50 kg each are placed at vertices of a 2.0 m * 2.0 m square and held there by four massless rods, which form the sides of the square. What is the rotational ineria of this rigid body about aubout an axis that (a) passes through the midpoints of opposite sides and lies in the plane of the square, (b) passes through the midpoint of one of the sides and is perpendicular to the plane...
Four equally charged particles with charge q are placed at the corners of a square with...
Four equally charged particles with charge q are placed at the corners of a square with side length L, as shown in the figure below. A fifth charged particle with charge Q is placed at the center of the square so that the entire system of charges is in static equilibrium. What are the magnitude and sign of the charge Q? (Use any variable or symbol stated above as necessary.) magnitude Q =
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT