Solve for x. -2x=-2x-5

Jason is pulling a box across the room. He is pulling with a force of 19 newtons and his arm is making a 30 angle with the horiz

Cerrena [4.2K]

We are to solve for the vertical and horizontal component of the force he is pulling with.

1. The vertical component of Jason's force is 9.5Newtons.

2.The horizontal component of Jason's force is 2.67Newtons.

3. Therefore, the net force in the vertical direction is -12.5Newtons.

4.Therefore, Resultant, R is 72.11

Question 1:

If Jason is pulling with a force of 19 Newtons and his arm is at an angle of 30° with the horizontal.

By resolving Jason's force of pull in the vertical direction, Fy = 19 × Sin 30° = 9.5 Newtons.

The vertical component of Jason's force is 9.5 Newtons.

Question 2:

Also,If Jason is pulling with a force of 14 Newtons and his arm is at an angle of 79° with the horizontal.

By resolving Jason's force of pull in the horizontal direction, Fx = 14 × Cos79° = 2.67 Newtons.

The horizontal component of Jason's force is 2.67Newtons.

Question 3:

If Jason is pulling with a force of 23Newtons and his arm is at an angle of 30° with the horizontal.

By resolving Jason's force of pull in the vertical direction, Fy = 23 × Sin 30° = 11.5Newtons.

The vertical component of Jason's force of pull is, 11.5Newtons.

If the box weighs 24Newtons.

By treating up as the +ve vertical direction and down as the -ve vertical direction,

Therefore, the weight of the box acts in the -ve vertical direction, while Jason's vertical force component acts in the +ve vertical direction.

Therefore, the net force in the vertical direction is = 11.5Newtons + (-24Newtons)

Therefore, the net force in the vertical direction is -12.5Newtons.

Question 4:

If there are two forces at right angles to eachother, one of magnitude, 68 and the other of magnitude, 24.

The resultant force on the object can be obtained by Pythagoras theorem (Triangle law of forces).

Resultant, R = √(68²+24²) = √5200.

Therefore, Resultant, R = 72.11

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3 years ago

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Complete the table thanks in advance

inna [77]

Y = 1/2 x

for x = 0 → y = 1/2 · 0 = 0
for x = 2 → y = 1/2 · 2 = 1

x | 0 | 2 |
y=1/2x| 0 | 1 |

y = x + 3

for x = 0 → y = 0 + 3 = 3
for x = -3 → y = -3 + 3 = 0

x | 0 | 3 |
y=x+3|-3 | 0 |

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3 years ago

Describe the location of the point having the following coordinates. positive abscissa, positive ordinate Quadrant I Quadrant II

asambeis [7]

The abscissa is the x coordinate whereas the ordinate is the y coordinate. Both x and y are positive in the first quadrant only.

8 0

3 years ago

you plant 15 tulip bulbs and 10 of them grow into flowers to bloom. If you plant 21 more re tulips bulbs, predict how many of th

harina [27]

Answer:

14 more flower would bloom if 21 more tulip bulb is planted.

Step-by-step explanation:

Given ratio for tulip bulbs and flowers is 15:10.

Now, finding number of flower to bloom if 21 tulip bulb are planted.

Assume if 21 tulip bulbs are planted then number of flower would bloom be"x"

ratio given: $\frac{Tulip\ bulbs}{ Flower} = \frac{15}{10} = \frac{21}{x}$

Cross multiplying the ratio to get:

⇒x= $\frac{21\times 10}{15} = \frac{210}{15}$

∴ $x= 14\ flowers$

Hence, 14 flowers would bloom if 21 tulip bulb are planted.

If total tulip bulb is $15+21= 36$ , then $10+14= 24\ flowers$ would bloom.

5 0

3 years ago

(PLEASE HELP QUICKLY) Melanie and her children went into a grocery store and she bought $14 worth of apples and bananas. Each ap

Step2247 [10]

Answer:

6 apples and 5 bananas

Step-by-step explanation:

x + y = 11

x = 11 - y

1.75x + 0.70y = 14

1.75(11 - y) + 0.7y = 14

19.25 - 1.75y + 0.7y = 14

5.25 = 1.05y

y = 5

x = 11 - 5 = 6

4 0

4 years ago

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