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A closed box with square base is to be built to house an ant colony. the bottom of the box and all four sides are to be made of

LUCKY_DIMON [66]

Box has all sides same leinght(a). Area of that box is 6*a^2.
Cost of material for bottom and 4 sides is 2$/ft^2. Area of bottom and sides is A=5*a^2
Cost of material for top is 4$/ft^2. Area of top of the box is T=a^2

A*2+T*4=72
5*a^2*2+a^2*4=72
a^2*(10+4)=72
a^2*14=72, a^2=72/14, a=root(72/14), a=2.267ft
Dimensions of the box: leinght of sides 2.2ft. Area of hole box 30.835ft^2
Area of the bottom and sides: A=5*a^2=25.696ft^2
Area of the top : T=a^2=5.139ft^2
Check: A*2$+T*4$=71.95$

5 0

3 years ago

A toy gun uses a spring to project a 5.3 - g soft rubber sphere horizontally. The spring constant is 8.0 N/m, the barrel of the

Vikki [24]

Answer:

v = 1.16 m/s

Explanation:

As per work energy theorem we know that work done by all forces on the sphere is equal to the change in kinetic energy of the sphere

So here we will have

$\frac{1}{2}kx^2 - F_f .d = \frac{1}{2}mv^2$

here we know that

$F_f = 0.032 N$

k = 8 N/m

now we have

$\frac{1}{2}(8)(0.05^2) - (0.032)(0.15 + 0.05) = \frac{1}{2}(0.0053)v^2$

$0.01 - 6.4 \times 10^{-3} = 2.65 \times 10^{-3} v^2$

$v = 1.16 m/s$

7 0

4 years ago

What is deltoids muscle?

ArbitrLikvidat [17]

Answer:

The deltoid muscle is a large triangular shaped muscle associated with the human shoulder girdle, explicitly located in the proximal upper extremity.

Explanation:

7 0

2 years ago

Read 2 more answers

Drag each tile to the correct box. Arrange the steps in order to describe what happens to a gas when it cools. The particles of

vredina [299]

Answer:

Ok, as the gas starts to cool down, the kinetic energy of the particles starts to decrease, so the first thing that happens is:

"the gas loses thermal energy" (as the gas cools down, the temperature decreases, so it loses thermal energy)

Now, the kinetic energy must decrease, so now:

"the particles of gas move slower".

Then, as the particles start to move slower, they start to get closer to eachother, then we have:

"The space between the gas particles decreases."

As the particles start to get close to eachother, the density of the gas starts to increase, until a point where we get to the condensation point, here we have a change of phase and the gas changes to a liquid, so here we have:

"The gas changes to a liquid."

4 0

3 years ago

The position-time graph for a bug crawling along a line is shown in item 4 below. Determine whether the velocity is positive, ne

Naddika [18.5K]

Answer: The velocity at different marked time points are given as

t1 = -

t2 = +

t3 = +

t4 = -

t5 = 0

Explanation:

The slope of the tangent of the curve indicates the instantaneous velocity. So if the slope of the tangent is positive, that Is, the tangent makes a positive angle (above the horizontal axis) with the horizontal

axis, then the velocity at this point is positive, and if the slope of the tangent is negative, that is the tangent makes a negative angle with the horizontal axis (below the horizontal axis), then the velocity at this point is negative.

When the tangent of the line is parallel to the horizontal axis, the velocity is 0.

From the position-time graph attached, the sign on the instantaneous velocity for each time marked on the graph is given below

t1 = -

t2 = +

t3 = +

t4 = -

t5 = 0

QED!

5 0

3 years ago