Thursday

August 25, 2016
**physics**

. A long string carries a wave; a 6-m segment of the string contains four complete wavelengths and has a mass of 180 g. The string vibrates sinusoidal with a frequency of 50 Hz and a peak-to-valley displacement of 15 cm. (The “peak-to- valley” distance is the ...
*Tuesday, March 24, 2015 by youssef*

**Physics**

Mass m1 = 0.5 kg moves with constant velocity v1i = 2.5 m/s along the x-axis and collides with mass m2 = 2.6 kg, which moves with velocity v2i = 3.1 m/s, as sketched below(completely vertical). After the collision, m1 and m2 stick together. a.) Find the angle, θ, between ...
*Tuesday, March 24, 2015 by Emma*

**PHYSICS**

A certain resistance thermometer at triple point of water is 152.0 ohms. What is the temperature of the system in degrees celsius when the resistance of the thermometer is 230.51ohms.
*Tuesday, March 24, 2015 by LOVELINE*

**Physics**

A Ferris wheel with a diameter of 35.0 m in starts from rest and achieves its maximum operational tangential speed of 2.20 m/s in a time of 15.0 s. (a) What is the magnitude of the wheel's angular acceleration? (b) What is the magnitude of the tangential acceleration after...
*Tuesday, March 24, 2015 by Alam*

**physics**

a ball was thrown vertically upward from the ground and reaches a height of 50 meters. a) with what speed was it thrown? b) how long will it remain in the air?
*Tuesday, March 24, 2015 by sandra*

**physics**

during a scienceday learners use a plastic cold drink bottle as a rocket. they use a bicycle pump to increase the bottle. when the pressure becomes high enough, the bottle is launched vertically upward into the air. the bottle returns to its original position after 3s. ignore ...
*Tuesday, March 24, 2015 by warren *

**Physics**

A 20kg box is being pushed across the floor by a constant force (90,0,0)N. The coefficient of kinetic friction for the table and box is 0.25. At t=5s the box is at location ( 8,2,-1)m, traveling with velocity (3,0,0) m/s. What is the position and velocity at t=5.6s?
*Tuesday, March 24, 2015 by reem*

**physics**

We have to do a lab in physics where we research and write on real life applications of momentum, the guidelines we have are Research Assignment: Application of Momentum in Real-Life Situations Task: Choose any real-life situation where the concept of momentum is involved and ...
*Tuesday, March 24, 2015 by Al*

**physics**

A 5.0 Ω resistor, a 9.0 Ω resistor, and a 12.0 Ω resistor are connected in parallel across a 24.0 V battery. a) What is the equivalent resistance of the circuit? Answer in units of Ω b) What is the current in the 5.0 Ω resistor? Answer in units of A
*Monday, March 23, 2015 by Danny*

**Physics - Electric Field **

Find the electric field at a point midway between 2 charges of +40.0e-9 C and +60.0E-9 C separated by a distance of 30.0 cm. My work: q1=40E-9 q2=60e-9
*Monday, March 23, 2015 by Marissa *

**Physics - Electric Fields **

Could someone please explain electric potential energy? Note: The question itself is not on my homework, but I'm having trouble understanding the theory behind my homework.
*Monday, March 23, 2015 by Jamie *

**Physics **

A cart is moving at 1.01 m/s to the left has a head-on collision with a 28.5 kg cart traveling 2.04 m/s to the right. If the velocity to the first cart is 2.99 m/s to the right, what is its mass?
*Monday, March 23, 2015 by A*

**Physics**

In 2286, Admiral Kirk and his crew were forced to use the slingshot effect in a stolen Klingon Bird-of-Prey to travel back in time to the late 20th century to retrieve two humpback whales. The stolen Klingon Bird-of-Prey traveled towards the sun at a velocity of vs while the ...
*Monday, March 23, 2015 by carolyn*

**Physics**

Consider holding a carton of milk in your hand. The force of the bicep muscle actsat an angle of 15 degrees to the vertical, while the weight of the arm and the milk both act downwards. The distance from the elbow to where the bicep muscle is attached via the distal bicep ...
*Monday, March 23, 2015 by carolyn*

**physics**

A 1kg block of wood is moving with a velocity of 10 m/s on top of a table. The coefficient of kinetic friction between the block of wood and the table is 0.1. The block of wood is a cube with sides of 12 cm. How far does the block move before coming to a stop? If momentum is ...
*Monday, March 23, 2015 by carolyn*

**Physics**

Water flows horizontally in a tapered pipe at a rate of 500 m^3/h. The area at one section of the pipe is 6500 mm² and 4000 mm² at another section. Calculate the gauge pressure at the larger section if the pressure at the smaller section is atmospheric.
*Monday, March 23, 2015 by John*

**physics**

A remote control toy car starts from rest and moves with constant unkown acceleration. After half a second it has travel 0.65m. How far has it traveled after 3 seconds?
*Monday, March 23, 2015 by michell lopez*

**physics**

If 2 objects of unequal masses are hung vertically over a frictionless pulley of negligible mass. determine the magnitude of the acceleration of the two objects and the tension in the light weight cord
*Monday, March 23, 2015 by Ebun*

**mathematical physics**

A series circuit consist of a resister with R =200 ohm, an inductor with L=1H, a capacitor with C = 0.002F, and a 12V battery.If the initial charge and current are both 0, find the charge and current at time t.
*Monday, March 23, 2015 by gourav *

**mathematical physics**

Obtain the temperature distribution u( x,t ) in a literally insulated rod of length L if both ends on the rod are kept at 0°c and the initial temperature distribution in the bar is : u(x,0) = 6sin[πx/L]
*Monday, March 23, 2015 by gourav *

**mathematical physics**

Obtain the Fourier for the following periodic function which has a period of 2π : f(x) = [ -1/2 (π-x) for -π<x<0,: 1/2 (π+x) for 0<x<π
*Monday, March 23, 2015 by gourav *

**physics**

Which moves faster after being accelerated from rest, (a) a 500 kg boat that has been imparted with a 10,000 N s impulse or (b) a 780 kg boat imparted with a 14,000 N s impulse?
*Monday, March 23, 2015 by Izzy*

**mathematical physics**

Separate the following partial differential equation into a set of three ODEs by the method of separation of variables. d^2/dt^2 = c^2[d^2u/dr^2+1/r du/dr+1/r^2 d^2/d theeta^2]
*Monday, March 23, 2015 by gourav *

**mathematical physics**

Show that :(i) u=e^xsiny is a solution of Laplace's equation. (ii) u= x^2+t^2 is a solution of the wave equation.
*Monday, March 23, 2015 by gourav *

**mathematical physics**

Solve the following ODE using the power series method (1-x^2)y"-2xy'+2y=0
*Monday, March 23, 2015 by gourav *

**mathematical physics**

Calculate the work done by a force Vector F = y^2z^3i^+2xyz^3j^+3xy^2z^2k^ in moving an object along the path defined by the parametric equation x=t, y=t, z=t. Between the point A(t=0) and B(t=1).
*Monday, March 23, 2015 by gourav *

**Physics**

Calculate the work done on the system when 1.00 mol of gas held behind a piston expands irriversibly from a volume of 10.0dm^3 against an external pressure of 1.00 bar?
*Monday, March 23, 2015 by Andrew*

**physics**

A 20.0 kg box slides down a 12.0 m long incline at an angle of 3.0 degrees with the horizontal. A force of 50.0 N is applied to the box to try to pull it up the incline. The applied force makes an angle of 0.00 degrees to the incline. If the incline has a coefficient of ...
*Monday, March 23, 2015 by Anonymous*

**mathematical physics**

Determine the scale factors for an orthogonal coordinate system (s, t, v) whose coordinates are related to the Cartesian by the following equations: x = 2st, y = s^2-t^2, z = v Also write down an expression for the square of the arc element.
*Monday, March 23, 2015 by gourav *

**mathematical physics**

Obtain the curl of the following vector field in spherical polar coordinates: vector A = x(xi^+yj^+zk^)
*Monday, March 23, 2015 by gourav *

**Physics**

A 4.5-kg brick is suspended by a light string from a 2.0-kg pulley. The brick is released from rest and falls to the floor below. The pulley may be considered a solid disk of radius 1.5 m. What is the linear acceleration of the brick and the tension in the string?
*Monday, March 23, 2015 by Jennifer*

**Physics**

A 180-kg uniform horizontal beam is attached to a vertical wall at one end and is supported by a vertical cable at the other end making an angle of 30 degree above the x axis. What is the magnitude of the tension in the cable?
*Monday, March 23, 2015 by Jennifer*

**Physics**

A uniform plank of length 4.1 m and weight 240 N rests horizontally on two supports, with 1.1 m of the plank hanging over the right support. To what distance x can a person who weighs 445 N walk on the overhanging part of the plank before it just begins to tip?
*Monday, March 23, 2015 by Jennifer*

**Physics**

It takes a force of 53kN on the lead car of a 16-car passenger train with mass 9.1x 10^5 kg to pull it atconstant 45 m/s on level tracks. (a) What power must the locomotive provide to the lead car? (b) How much more power to the lead car than calculated in pan (c) Would be ...
*Monday, March 23, 2015 by Ben *

**Physics**

A shopper pushes a grocery cart for a distance 18 m at constant speed on level ground, against a 25 N frictional force. He pushes in a direction 24° below the horizontal. What is the work done on the cart by the shopper, in joules? Magnitude of the force, in newtons, that ...
*Sunday, March 22, 2015 by TT2014*

**Physics**

Can someone walk me through how to solve this? Any help is much appreciated! Two masses moving along a straight line undergo a front-to-back collision. The masses are m1= 60.0 kg, with initial velocity v1 = 17.0 m/s, and m2 = 26.0 kg, with initial velocity v2 = 7.0 m/s. After ...
*Sunday, March 22, 2015 by James*

**Physics**

A dog, weighing 10.0 lbs, is standing on a flatboat so that he is 20 ft from the shore. He walks 8.0 ft on the boat toward shore and then halts. The boat weighs 40 lb, and one can assume there is no friction between it and the water. How far is he from the shore at the end of ...
*Sunday, March 22, 2015 by Nora*

**Physics**

A 10-g fridge magnet is supposed to hold a 2.0-g paper on the stainless steel fridge door. The normal force of 0.19 N is insufficient to keep them in place, and the paper and magnet accelerate down the fridge at 0.150 m/s2 when the fridge door is slammed. What is the ...
*Sunday, March 22, 2015 by Trex*

**physics**

In a farm yard, a 20.0-kg light is suspended from a light beam on the end of a tall pole. The beam is supported by an arm that attaches to the beam at the suspension point of the light, as shown in the diagram below. The arm makes an angle of 50.0 with the pole. Ignore...
*Sunday, March 22, 2015 by Trex*

**physics**

21.At the airport, a person pushes a luggage cart with an applied force of 150 N [forward]. Assuming the cart and luggage have a total mass of 46.0 kg and the force of friction is 95.0 N [backward], the magnitude of the acceleration of the luggage is _____ m/s2.
*Sunday, March 22, 2015 by Trex*

**Physics **

The position of a mass oscillating on a spring is given by x = (7.0 cm) cos [2πt/(0.71 s)]. (a) What is the frequency of this motion? (b) When is the mass first at the position x = -7.0 cm?
*Sunday, March 22, 2015 by Yadan Valeton*

**Physics **

A motor boat is traveling at a speed of 2.4 m/s shuts off its engine at t=0. How far does it travel before coming to a rest if it is noted that after 3 seconds its speed has dropped to half of its original value? Assume that the drag force of the water is proportional to v. (R...
*Sunday, March 22, 2015 by Anonymous*

**Physics **

a car goes over a circular hill of 50m radius at a constant speed of 20m/sec . What is the force of the car on the 600N driver at the top of the hill.?
*Sunday, March 22, 2015 by Anonymous*

**Physics**

A 51 kg block of metal has specific heat of 222 j/kg c. how heat energy must be applied to the block of metal to raise its temperature from 10 c to 22 c?
*Sunday, March 22, 2015 by Heather *

**physics**

A solid of relative density 1.25 is found to weigh 12g in water find its weight in air
*Sunday, March 22, 2015 by mahak*

**Physics**

What is the linear speed of a child standing 0.4 m from the centre of a steadily rotating merry go around? It makes one complete revolution in 16.0 s.
*Sunday, March 22, 2015 by Bollah-braz*

**Physics**

A uniform solid sphere rolls down an incline. (a) What must be the incline angle if the linear acceleration of the center of the sphere is to have a magnitude of 0.50g?
*Sunday, March 22, 2015 by Uina*

**physics**

When are the electric field lines are parallel to each other
*Sunday, March 22, 2015 by rajeev*

**mathematical physics**

Obtain all the first and second order partial derivatives of the function: f( x, y ) = In(I+xy^2)
*Sunday, March 22, 2015 by gourav *

**mathematical physics**

Show that: (I) u = e^xsiny is a solution of Laplace's equation. (ii) u = x^2+t^2 is a solution of the wave equation.
*Sunday, March 22, 2015 by gourav *

**mathematical physics**

Solve the following ODE using the power series method (1-x^2)y"-2xy'+2y = 0
*Sunday, March 22, 2015 by gourav *

**mathematical physics**

A series circuit consist of a resister with R = 200ohm, an inductor with L = 1H, a capacitor with C = 0.002F, and a 12V battery.If the initial charge and current are both O, Find the charge and current at time t.
*Sunday, March 22, 2015 by gourav *

**mathematical physics**

Determine the scale factors for an orthogonal coordinate system (s,t,v) whose coordinates are related to the Cartesian by the following equations: x = 2st, y = s^2-t^2, z = v.
*Sunday, March 22, 2015 by gourav *

**mathematical physics**

Show that for any scaler field phi( x,y,z ) Vector del×(vector del phi ) = vector 0
*Sunday, March 22, 2015 by gourav *

**mathematical physics**

Show that vector del(r^2) = 2vector r
*Sunday, March 22, 2015 by gourav *

**mathematical physics**

Determine whether the following vector field is incompressible or irrotational at the point (0,1,2). Vector F = [x/x^2+y^2+z^2]i^+[y/x^2+y^2+z^2]j^+[z/x^2+y^2+z^2]k^
*Sunday, March 22, 2015 by gourav *

**physics**

a 70 kg block rests on the earth's surface. How much energy is required to move the block very far from the earth, ending up at rest again?
*Sunday, March 22, 2015 by paul*

**Physics**

Two balls of equal mass (400g each) undergo a collision. One ball is initially stationary. After the collision, the velocities of the balls make angles of 22.5 degrees and 35.9 degrees relative to the original direction of the motion of the moving ball. If the initial velocity...
*Sunday, March 22, 2015 by Zobia*

**physics**

in a game of billiard , a collision occurs between two marble balls of different mass. one ball 400g is initially at rest. After the collision, this ball acquires a velocity of 1.40m/s at an angle of 37 degrees from the original direction of the motion of the other ball (500g...
*Saturday, March 21, 2015 by Zobia*

**Physics**

A 130kg mail bag hangs by a vertical rope 3.9m long. A postal worker then displaces the bag to a position 2.2m sideways from its original position, always keeping the rope taut.
*Saturday, March 21, 2015 by Kevin*

**Physics**

A rock is thrown directly upward from the edge of the roof of a building that is 35.3 meters tall. The rock misses the building on its way down, and is observed to strike the ground 4.00 seconds after being thrown. Neglect any effects of air resistance. With what speed was the...
*Saturday, March 21, 2015 by Thomas*

**Physics**

A motor boat is traveling at a speed of 2.4 m/s shuts off its engine at t=0. How far does it travel before coming to a rest if it is noted that after 3 seconds its speed has dropped to half of its original value? Assume that the drag force of the water is proportional to v. (R...
*Saturday, March 21, 2015 by Anonymous*

**Physics**

a 2.00 kg object has a velocity of 4.00i -3.00j m/s. What is the kinetic energy at this moment? What is the net work done on the object if its velocity change 6.00i +2.00j m/s
*Saturday, March 21, 2015 by Anonymous*

**Physics**

So...the question is that a coil spring has a force constant of k = 4.0 lb/in. When the spring's axis is inclined at an angle 30 degrees form horizontal, a Weight = 2.0 oz ball is propelled to a height of 6.0 ft. By how much must the spring have been compressed initially...
*Saturday, March 21, 2015 by Nora*

**Physics **

A motor boat is traveling at a speed of 2.4 m/s shuts off its engine at t=0 . How far does it travel before coming to rest after 3 seconds it's speed have dropped to half of its original value ? Assume that the drag force of the water is proportional to v ( R = -bv)
*Saturday, March 21, 2015 by rush *

**Physics **

a car goes over a circular hill of 50m radius at a constant speed of 20m/sec . What is the force of the car on the 600N driver at the top of the hill.?
*Saturday, March 21, 2015 by Anonymous*

**physics**

How many circus balloons will it take to lift a 80.0 kg person? The pressure is 1.00 atmospheres. The temperature is 298 K. The air is composed of 20.0% oxygen and 80.0% nitrogen. Each balloon is a perfect sphere, 40 cm in diameter, filled with helium gas (also at 1.00 ...
*Saturday, March 21, 2015 by Van355@*

**Physics**

A pendulum string has a length l = 4.0 ft. When the pendulum ball is released at 90 degrees to the vertical, it will swing down. A nail is located distance d below the point of suspension of the pendulum. Show that d must be at least 0.6l if the ball is to swing completely ...
*Saturday, March 21, 2015 by Nora*

**mathematical physics**

Using Green's theorum evaluate the integral [ integration from c x^2ydx-xy^2dy] where c is the closed curve along the circle. x^2+y^2 = 4
*Saturday, March 21, 2015 by gourav *

**mathematical physics**

Using Divergence theorum evaluate the flux integrate from s vector A.vector D's where A =xi^+yj^+zk^ and s is the complete surface of the hemisphere which has its centre at the origin and the origin and a radius of 6 units.
*Saturday, March 21, 2015 by gourav *

**mathematical physics**

Calculate the work done by a force vector F = y^2z^3i^+2xyz^3j^+3xy^2z^2k^ in moving an object along the path defined by the parametric equation x = t, y = t, z = t between the points A( t =0 ) and B( t = 1).
*Saturday, March 21, 2015 by gourav *

**mathematical physics**

Determine the scale factors for an orthogonal coordinate system ( s, t, v ) whose coordinates are related to the cartesion by following equations: x = 2st:, y = s^2-t^2:, z = v Also write down an expression for the square of the arc element.
*Saturday, March 21, 2015 by gourav *

**mathematical physics**

Obtain the curl of the following vector field in spherical polar coordinates : vector A = x( xi^+yj^+zk^)
*Saturday, March 21, 2015 by gourav *

**mathematical physics**

Determine whether the following vector field is incompressible or irrotational at the point (0, 1, 2) vector F =[x/x^2+y^2+z^2]i^ +[y/x^2+y^2+z^2]j^+[z/x^2+y^2+z^2]k^
*Saturday, March 21, 2015 by gourav *

**physics**

Why is parallax method not useful for measuring the distances of stars more than 100 light years away?
*Saturday, March 21, 2015 by shan*

**physics**

A spring balance has a scale that reads from 0to50 kg.The length of the scale is 20cm.A body suspended from this balance,when displaced & released, oscillates with period of 0.6 s.What is the weight of the body?
*Saturday, March 21, 2015 by shan*

**mathematical physics**

Determine the directional derivative of phi =xy^z in the direction i^-2j^+2k^ at the point (3, 1, -1)
*Saturday, March 21, 2015 by gourav *

**mathematical physics **

Given two vector function vector a(t)=(2t+3)i^+(t^2-2)j^+tk^ and vector b(t)=(4-t)i^+(3t^3+1)j^+(2t-1)k^, determine the derivative of vector a(t).vector b(t) at t=1.
*Saturday, March 21, 2015 by gourav *

**physics**

A wheel has turned through 120 revs in 10 s after starting. find the angular acceleration.
*Saturday, March 21, 2015 by baz*

**physics**

The throttle of an electric train is shut off at a speed of 48 km/h. The total mass of the train is 81 tonne and the combined resistance force is 90 newtons per tonne. Find how long it will take for the train to stop.
*Saturday, March 21, 2015 by baz*

**physics**

If, after rotating for some time at constant angular velocity of 72 rad/s, brakes are applied to the flywheel producing retardation of 4 rad/s2 , determine the time taken to reduce its angular velocity to 40 rad/s.
*Saturday, March 21, 2015 by baz*

**physics**

A 1 tonne caravan is being towed by a car which provides a constant drawbar pull of 40 N. If the resistance to motion is 20 N, calculate the acceleration of the car and the caravan.
*Saturday, March 21, 2015 by baz*

**mathematical physics**

Show that the angular momentum vector(L)=vector(r)×vector(p) vector is an axial vector
*Saturday, March 21, 2015 by gourav *

**physics**

The five engines of the first stage of a launch vehicle provide a total thrust of 31.5 x 106 newtons to the space vehicle (launch vehicle and spacecraft). Assuming the acceleration is uniform, calculate the acceleration of the 2.764 x 106 kg space vehicle after lift-off. The ...
*Saturday, March 21, 2015 by baz*

**mathematical physics**

For any two vectors u^ and v^ show that: (u^.v)^2-[(u^×v^)].u^= u^2v^2
*Saturday, March 21, 2015 by gourav *

**physics**

If a mass of gasoline occupies 70.01 at 20Â°C, What is the volume at 35Â°C?
*Saturday, March 21, 2015 by charlotte*

**Physics**

A 130kg mail bag hangs by a vertical rope 3.9m long. A postal worker then displaces the bag to a position 2.2m sideways from its original position, always keeping the rope taut.
*Saturday, March 21, 2015 by Kevin*

**physics**

Show that the angular momentum L=r¡Áp vector is an axial vector
*Saturday, March 21, 2015 by gourav *

**physics**

the mass of the sun is 2×10^30kg.the mass of a proton is 2×10^-27kg.if the sun was made only of protons.calculate the number of protons in the sun?
*Saturday, March 21, 2015 by Anonymous*

**Medical physics**

A silver cube (density of silver is 10 g/cm3) with side length of 3 cm weighs more than an aluminium cube (density of aluminium is 2.96 g/cm3) with side length of 4 cm. The cubes are each suspended by a string and allowed to be completely immersed in two identical jars ...
*Saturday, March 21, 2015 by JAMES*

**physics**

an aluminium sphere of 20cm diameter is heated from 0¡ãc to100¡ãc. what is the change in its volume?
*Friday, March 20, 2015 by delilah*

**physics**

A camera with a lens of focal length 10 cm takes a picture of a 160 cm girl standing 24.0 m away. What is the approximate height of the image?
*Friday, March 20, 2015 by Callixte*

**physics**

for long distance transmission of electricity, voltages of 1- 26 kv at the generator are stepped up high levels, 230-768 kv. in stepping up from 1 kv to 768 kv, if there are 200 turns of transformer wireon the primary, how many turns will the secondary contain?
*Friday, March 20, 2015 by wazir*

**physics**

small toy car draws a 0.50mA from a 3.0 V nickel-cadmium(NiCd) battery. In 10 min of operation, (a) how much charge flows through the toys car? (b) How much energy is lost by the battery?
*Friday, March 20, 2015 by wazir*

**physics**

A 25.0 g silver spoon at 20.0 C is placed in a cup of coffee initially at 90 C. How much heat does the spoon absorb from the coffee as the spoon warms up to 89 C? (C Silver - 230 J/kg C) Show all work.
*Friday, March 20, 2015 by wazir*

**physics**

A long solenoid that has 990 turns uniformly distributed over a length of 0.410 m produces a magnetic field of magnitude 1.00 multiply.gif 10-4T at its center. What current is required in the windings for that to occur?
*Friday, March 20, 2015 by wazir*

**physics**

A 47.5-turn circular coil of radius 5.15 cm can be oriented in any direction in a uniform magnetic field having a magnitude of 0.490 T. If the coil carries a current of 22.9 mA, find the magnitude of the maximum possible torque exerted on the coil. _______N*m?
*Friday, March 20, 2015 by wazir*

**physics**

A 20.0 kg box slides down a 12.0 m long incline at an angle of 3.0 degrees with the horizontal. A force of 50.0 N is applied to the box to try to pull it up the incline. The applied force makes an angle of 0.00 degrees to the incline. If the incline has a coefficient of ...
*Friday, March 20, 2015 by mpizo*

**Physics**

Consider holding a carton of milk in your hand. The force of the bicep muscle actsat an angle of 15 degrees to the vertical, while the weight of the arm and the milk both act downwards. The distance from the elbow to where the bicep muscle is attached via the distal bicep ...
*Thursday, March 19, 2015 by Carolyn*

**Physics**

In 2286, Admiral Kirk and his crew were forced to use the slingshot effect in a stolen Klingon Bird-of-Prey to travel back in time to the late 20th century to retrieve two humpback whales. The stolen Klingon Bird-of-Prey traveled towards the sun at a velocity of vs while the ...
*Thursday, March 19, 2015 by Carolyn*