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A drop of mercury is accidently released in the ocean and it sinks. Calculate the percentage change in the volume of drop of mercury when it is at adepth of 1.0km below the ocean surface. Use a value of 1025kg/m^3 for the density of ocean water.

Originally posted by: Miggi

A 0.50kg object , suspended from an ideal spring of spring constant of 25N/m, is oscillating vertically with amplitude of 7.5cm. How much change of kinetic energy occurs while the object moves from the equilibrium point to a point 5.9cmlower?

Let Ko = k.e. at equilibrium
K1 = k.e. when the object is at height x1 below the equilibrium
x1 = 5.9 cm = 0.059 m

Ko = K1 + 1/2 * k * x1^2
Ko - K1 = 1/2 * k * x1^2
= 1/2 * 25 * 0.059^2
= 4.35 * 10^-2 J (Answer)

Originally posted by: Miggi

A drop of mercury is accidently released in the ocean and it sinks. Calculate the percentage change in the volume of drop of mercury when it is at adepth of 1.0km below the ocean surface. Use a value of 1025kg/m^3 for the density of ocean water.

P1 V1 = P2 V2
V2/V1 = P1/P2
V2/V1 - 1 = P1/P2 - 1
V2/V1 - 1 = (P1 - P2)/P2
Substitute P2 = P1 + rho*g*h

V2/V1 - 1 = -rho*g*h/(P1+rho*g*h)
Substitute rho = 1025 kg/m^3, g = 9.8 m/s^2, h = 1000 m, P1 = 101325 Pa

V2/V1 - 1 = -rho*g*h/(P1+rho*g*h) = -0.99
(V2/V1 - 1)*100 = -99
% change in volume = 99 %

Ans: 99 %

hery can someone help me with math problems am stuck and need help:l...

@priya_94,
Do you know what is meant by standard form? Any examples?
What method do you have to use to graph? There are different ways, what method do you have to use?
Do you have to graph in graph paper or just show rough graph in any piece of paper?

@akal

Originally posted by: priya_94

hery can someone help me with math problems am stuck and need help:l...

okii u have to put them in standard form and then graph them

1). (x+1)(x-2)(x-1)

2). (x+2)(x-2)(x+3)

3). (x-1)^3+1

4). 2(x+2)^3-2

thnks sooo much

need it by monday😛

Expand each one
1) y = (x^2 - 2x + x - 2)(x-1)
y = (x^2 - x - 2)(x-1)
y = x^3 - x^2 - x^2 - 2x + 2
y = x^3 - 2x^2 - 2x + 2

2) y = (x^2 - 4)(x+3)
y = x^3 + 3x^2 - 4x - 12

3) y = x^3 - 3x^2 + 3x - 1 + 1
y = x^3 - 3x^2 + 3x

4) y = 2(x+2)^3 - 2
y = 2(x^3 + 6x^2 + 12x + 8) - 2
y = 2x^3 + 12x^2 + 24x + 14

Make a table of x, y values. Put different values of x, some positive, some negative and also put 0. For each calculate y. Then plot the points and join them by hand by a smooth curve.

Originally posted by: akhl

Expand each one
1) y = (x^2 - 2x + x - 2)(x-1)
y = (x^2 - x - 2)(x-1)
y = x^3 - x^2 - x^2 - 2x + 2
y = x^3 - 2x^2 - 2x + 2

2) y = (x^2 - 4)(x+3)
y = x^3 + 3x^2 - 4x - 12

3) y = x^3 - 3x^2 + 3x - 1 + 1
y = x^3 - 3x^2 + 3x

4) y = 2(x+2)^3 - 2
y = 2(x^3 + 6x^2 + 12x + 8) - 2
y = 2x^3 + 12x^2 + 24x + 14

Make a table of x, y values. Put different values of x, some positive, some negative and also put 0. For each calculate y. Then plot the points and join them by hand by a smooth curve.

Hey I really need help with English, actually we read the story The Secret Life of Walter Mitty...

I read the story a few times. Type your answers, so I can check.