Please help me find the answers!
Please help me find the answers! - 1

Answers

Answer 1
Answer:

Answer:

1. T₁ is approximately 100.33 N

T₂ is approximately -51.674 N

2. 230°F is 383.15 K

3. Part A

The total torque on the bolt is -4.2 N·m

Part B

Negative anticlockwise

Explanation:

1. The given horizontal force = 86 N

The direction of the given 86 N force = To the left (negative) and along the x-axis

(The magnitude and direction of the 86 N force = -86·i)

The state of the system of forces = In equilibrium

The angle of elevation of the direction of the force T₁ = 31° above the x-axis

The direction of the force T₂ = Downwards, along the y-axis (Perpendicular to the x-axis)

Given that the system is in equilibrium, we have;

At equilibrium, the sum of the horizontal forces = 0

Therefore;

T₁ × cos(31°) - 86 = 0

T₁ = 86/(cos(31°)) ≈ 100.33

T₁ ≈ 100.33 N

Similarly, at equilibrium, the sum of the vertical forces = 0

∴ T₁×sin(31°) + T₂ = 0

Which gives;

100.33 × sin(31°) + T₂ = 0

T₂ = -100.33 × sin(31°) ≈ -51.674

T₂ ≈-51.674 N

2. 230° F to Kelvin

To convert degrees Fahrenheit (°F) to K, we use;

Degrees \ in  \ Kelvin, K = (x^(\circ) F + 459.67) * (5)/(9)

Pluggining in the given temperature value gives;

Degrees \ in  \ Kelvin, K = (230^(\circ) F + 459.67) * (5)/(9) = 383.15

230°F = 383.15 K

3. Part A

Torque = Force × perpendicular distance from the line of action of the force

Therefore, the clockwise torque = 9 N × 0.4 m = 3.6 N·m (clocwise)

The anticlockeisre torque = 13 N × 0.6 m = 7.8 N·m (anticlockwise)

The total torque o the bolt = 3.6 N·m - 7.8 N·m = -4.2 N·m (clockwise) = 4.2 N·m anticlockwise

Part B

The torque is negative anticlockwise.


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A stone is dropped from a bridge and hits the pavement below in two seconds. What is the velocity of the stone when it hits the pavement?A. 0.20 m/s
B. 19.6 m/s
C. 4.9 m/s
D. 9.8 m/s

Answers

We have: a = v/t
Here, t = 2 s  [ Given ]
a = 9.8 m/s²  [constant value for earth system ]

Substitute their values into the expression:
9.8 = v/2
v = 9.8 × 2
v = 19.6 m/s

In short, Your Answer would be Option B

Hope this helps!

i just did the quiz and so the only 2 options that made logical sense would be B (19.6 m/s) or D (9.8 m/s) the reason someone could get confused between these two is because 19.6 divided by 2 is 9.8 m/s so for each second it will go down 9.8 m/s but since it wants to know the velocity it would be 19.6 m/s

hope this helps

A rock at the top of a 30 meter cliff has a mass of 25 kg. Calculate the rock’s gravitational potential energy when dropped off the cliff. Assuming that energy is conserved and there is no air friction and gravity is 9.8 m/sec., at the bottom of the cliff the rock’s potential energy is completely converted to kinetic energy. Use the formula for kinetic energy to calculate the rock’s speed at the bottom of the cliff. Show all calculations.

Answers


Potential energy =

                     (mass) x (gravity) x (height above the reference level) .

Relative to the bottom of the cliff, the potential energy
at the top of the cliff is

                         (25kg) x (9.8 m/s²) x (30 meters)

                     =  (25 x 9.8 x 30)  kg-m²/s²

                     =        7,350 joules .

Kinetic energy = (1/2) x (mass) x (speed²)

The rock's kinetic energy at the bottom is
the same as its potential energy at the top.

                                        7,350 joules = (1/2) x (25 kg) x (speed²)

Divide each side
by 12.5kg :                7,350 joules/12.5 kg  =  speed²

                                 7,350 kg-m²/s² / 12.5kg  =  speed²

                                 (7,350 / 12.5)  m²/s²  =  speed²

                                      588 m²/s²  =  speed²
Take the square root
of each side:            
                                   Speed = √(588 m²/s²) 

                                             =  24.248... m/s       (rounded)

Lets see:-

We have our formula for potential energy, which we are trying to solve for, 

PE = mgh  or  potential energy = mass * gravity * height

So we know that PE all depends on these. 

Height :  30 meters
Mass : 25 kg
Gravity (which is always constant) : 9.8 m/s/s

Now add into formula. 

PE = 25*30*9.8 
PE = 7350 Joules

Answer: PE = 7350 Joules

A certain percentage of body fat is essential for the body to function effectively.

Answers

This statement is true - humans require a certain percentage of body fat to function effectively. As a result of childbearing, women's bodies require a higher level of body fat than men: roughly 10-13%, compared to 2-5%.

Answer:

the answer is true

I am in Health

2 What does how much, how
long and how
often have to do with exposure to chemicals?

Answers

Well how much, how long, and how often  

For example how much is like how much a object is left in a small room with chemicals

How long is the time

how often is how much the same cycle is done repeatedly

The table lists pressure and volume values for a particular gas. Which is the best estimate for the value of V at P = 7.0 × 103 pascals? P (pascals) V (liters) 5.0 × 103 6.0 1.5 × 104 3.0 2.0 × 104 2.0 2.5 × 104 1.5

Answers

Answer:

17.23L

Explanation:

The table lists pressure and volume values for a particular gas. Which is the best estimate for the value of V at P = 7.0 × 103 pascals?

P (pascals)                  V (liters)     1/v

1. 5.0 × 10^3                  6.0       0.16

2. 1.5 × 10^4                     3.0      0.33

3. 2.0 × 10^4                    2.0      0.5

4. 2.5 × 10^4                    1.5         0.66

if we are to plot the above data in a linear graph, the equation of a line graph below can be used

y-y1=m(x-x1)

y-y1=(y2-y1)/(x2-x1)(x-x1)..............1

from the  ideal gas law

pressure is inversely proportional to volume as nRT is the constant of proportionality

PV=nRT

P=nRT/V

from equation 1

let y1= 1.5 × 10^4

y2= 2.0 × 10^4

x1=0.33

x2= 0.5

y-1.5x10^4=2.0 × 10^4-1.5 × 10^4 /(0.5-.33)(x-0.33)

y-1.5x10^4=29411(x-0.33)

y=15000-9705.88+29411x

y=5294+29411x

at 7*10^3

7*10^3=5294+29411x

x=0.058

recall that x=1/V

inverse of both sides gives volume to be

V=17.23L

I think the question need to use extrapolation. FInd the linear function of the first and second data. And then, the anwser is 5.4 liters.

newtons second law of motion the acceleration of an object equals the net force acting on the object divided by the objects?

Answers

Answer:

Mass

Explanation:

His second law is : F=MA so force equals mass times acceleration