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stiv31 [10]
2 years ago
13

A 2600-pound truck is stopped at a red light on a hill with an incline of 25°. Ignoring the force of friction, what force is req

uired to keep the truck from rolling down the hill?

Mathematics
1 answer:
dem82 [27]2 years ago
6 0

Answer:

-840 pounds

Step-by-step explanation:

Follow the steps in your pre-calculus textbook on p. 504

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A cube-shaped water tank having 6 ft side lengths is being filled with water. The bottom is solid metal but the sides of the tan
Mekhanik [1.2K]

Answer:

0.033 ft

Step-by-step explanation:

Let g = 32.2 ft/s2 and h be the maximum height that water can be filled before the sides shatter.

Pressure is distributed from 0 to maximum at the bottom like the following equation:

P = \rho gh

So the force generated by water pressure on the side of the tank is

F = PA = \rho ghs/2

where s = 6ft is the side length of the tank. This force cannot be larger than 200lb

\rho ghs/2 \leq 200

62.4*32.2*h*6/2 \leq 200

h \leq 0.033 ft

4 0
2 years ago
A gas has weight of 5 pounds and a volume of 100 cubic feet. what's the specific volume of this gas
Leya [2.2K]

In thermodynamics, specific volume is considered to be an intrinsic property of matter. What we meant by intrinsic property is that, the value of this property does not change no matter the size of the sample. This is opposite to weight or volume which changes depending on the size of the sample.

By mathematical definition, specific volume is the ratio of the substance’s volume to its mass. Or in other words, this is the reciprocal of density.

The formula for density is:

density = mass / volume

Since specific volume is reciprocal so:

Specific volume = 1 / density = volume / mass

 

Calculating:

Specific volume = 100 ft^3 / 5 pounds

Specific volume = 20 ft^3 / pound

 

Or when asked in units of m^3 / kg, we convert:

Specific volume = (20 ft^3 / pound) (2.2 pound / kg) (1 m^3 / 35.3147 ft^3)

Specific volume = 1.246 m^3 / kg

3 0
2 years ago
Jeremy analyses one of his parachute jumps.
NikAS [45]

Answer:

A.) Acceleration = 4.6 m/s^2

B.) Average speed = 47 m/s

Step-by-step explanation:

A.) From the graph, at t = 10s,

Velocity V = 46 m/s

Acceleration a = (change in V)/ time t

a = (46 - 0)/10

a = 46/10 = 4.6 m/s^2

B.) If we estimate the speed at 5 seconds intervals, then we have

Average speed = (36 + 46 + 49 + 50 + 50 +50 + 50) ÷ 7

Average speed = 331/7 = 47.29 m/s

Average speed = 47 m/s

5 0
3 years ago
The local grocery store will purchase food items and mark them up 115%. If the wholesale price of an item was $3.50, what price
jeyben [28]

Answer: $7.525

Step-by-step explanation:

A markup is an amount that is added to the cost price of an item in order to get a sell price that is used to make a profit.

Cost price= $3.50

Markup = 115% = 115/100 × 3.50

= 1.15 × 3.50

= 4.025

Selling price= Cost price + Markup

= $3.50 + $4.025

= $7.525

A customer will pay $7.525 for the item.

8 0
2 years ago
What is the volume of a sphere with a radius of 7 cm? Sphere V = 4 3 πr3 1. Substitute the radius into the formula:    V = 4 3 π
netineya [11]

Answer:

1436.75504 or 1372/3π cm^3

Step-by-step explanation:

The volume of a sphere can be found using:

V = 4/3 πr^3

We know the radius is 7, so we can substitute 7 in for r

V = 4/3 π7^3

Evaluate the exponent

V = 4/3 π 343

If we want the answer in terms of pi, multiply the two other numbers, that are not pi: 4/3 and 343.

v= (4/3*343)π

v=1372/3π

If we want an exact answer, multiply 1372/3 and pi

v=1436.75504

So, the volume is 1436.75504 or 1372/3 π cm^3

4 0
2 years ago
Read 2 more answers
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