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Harrizon [31]
3 years ago
7

How much work is done by a crane that raises 2000 N of material a distance of 100 m

Mathematics
2 answers:
Natali5045456 [20]3 years ago
4 0

Answer:

200,000J=2x10^5J

Step-by-step explanation:

Since there are 2000N of material, the force needed to lift it must be equal to the weight of this material.

Force: F=2000N

and the vertical distance that this material is moved:

Distance: d=100m.

Now, to calculate the work done we use the following formula:

W=F*d

Where W is the work done, F is the force applied, and d is the distance moved.

Substituting the known values:

W=2000N*100m\\W=200,000J⇒This is the work done.

this quantity can also be expressed as follows:

W=2x10^5J

So, the work done by the crane is: 200,000J=2x10^5J

Zina [86]3 years ago
3 0

Answer: The work done by the crane is 200,000 Joules.

Step-by-step explanation:

Hi, to answer this question we have to apply the work formula:

Work = force x distance

Replacing with the values given and solving for w:

W = 2000 N x 100 m = 200,000Nm = 200,000 Joules

In conclusion, the work done by the crane is 200,000 Joules.

Feel free to ask for more if needed or if you did not understand something.

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The number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of ice cream. The pie and
sergejj [24]

Answer:

130 calories in the ice cream and 500 calories in the pie.

Step-by-step explanation:

Let the amount of calories in the scoop of ice cream be x. the amount of calories in the piece of pie be 3x-20. we know that x+3x-20=500.

4x-20=500

If we add twenty to both sides, we end up with:

4x=520

Divide both sides by four, and you get x=130.

there are 130 calories in the scoop of ice cream and 130*4-20=500 calories in the pie.

5 0
3 years ago
The cosine of 23° is equivalent to the sine of what angle
Archy [21]

Answer:

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

Anyways co-functions have this identity:

\cos(90^\circ-x)=\sin(x)

or

\sin(90^\circ-x)=\cos(x)

You can prove those drawing a right triangle.

I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:

The sum of the angles is 180.

So 90+x+(missing angle)=180.

Let's solve for the missing angle.

Subtract 90 on both sides:

x+(missing angle)=90

Subtract x on both sides:

(missing angle)=90-x.

So the missing angle has measurement (90-x).

So cos(90-x)=a/c

and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

cos(x)=b/c

sin(90-x)=b/c

This means sin(90-x)=cos(x).

So back to the problem:

cos(23)=sin(90-23)

cos(23)=sin(67)

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

6 0
2 years ago
The point (12, 5) is on the terminal side of angle θ.
Sonja [21]
Tanα=5/12

α=arctan(5/12)°

α≈22.62° (to nearest hundredth of a degree)
5 0
2 years ago
Help me with this!! Will mark Brainliest ❤️
Andrei [34K]

Answer:

Yes

Step-by-step explanation:

5 0
3 years ago
6 (x-6) = -3 (-x + 3)
Bond [772]
You have to distribute!
6(x) = 6x and 6(-6)=-36
So now you have 6x-36=-3(-x+3)
Now do the same on the other side.
-3(-x)=3x -3(3)=-9
So now, 6x-36=3x-9
Combine the like terms:
Subtract 3x in both sides.
6x-3x=3x
Now: 3x-36=-9
Add 36 in both sides.
3x=27
Divide by 3 on both sides to get x alone.
3x/3= x 27/3=9
X=9
5 0
3 years ago
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