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18 days ago

Russ makes the diagram below to organize his notes about how Newton’s first law describes objects at equilibrium.

Physics

2 answers:

Ostrovityanka [2.2K]18 days ago

8 0

Correct options:

There is no net force acting on it.

Explanation:

According to Newton's first law, referred to as the law of inertia:

"An object that remains stationary when there is no net force will stay in that state, and an object moving uniformly when there is no net force will continue to move uniformly"

The first scenario (object at stationary) is termed static equilibrium, while the second scenario (object moving uniformly) is termed dynamic equilibrium. As deduced from the description of Newton's first law, both scenarios reflect an object under the influence of a net force of zero, indicating this label belongs in section X (the area shared by both dynamic and static equilibrium).

kicyunya [2.2K]18 days ago

6 0

According to Newton's first law, an object remains at rest until an external force acts upon it, or an object in motion continues to move at a constant speed without accelerating.

Thus, x can solely represent a body coming to a halt. Accordingly, the last option is the most correct.

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Two trains are headed towards each other on the same track unbeknownst to the engineers. One departs San Francisco. Its average

ValentinkaMS [2425]

Answer:

7.166 hours = 430 minutes.

Explanation:

As both trains are approaching each other on the same track, their relative speed is the sum of their individual speeds. Hence, the time until they intersect (and inevitably collide) is determined by how long it takes for speeds of 65 mph and 55 mph to cover the total distance of 860 miles. One train will cover part of the distance, while the other will cover the remainder. To calculate the required time, we can apply the formula:

1 hour ---> 120 miles

X ----> 860 miles; hence X = (860 miles * 1 hour)/120 miles = 43/6 hours = 7.16666 hours. To convert this into minutes, recall that 1 hour equals 60 minutes; therefore, 43/6 hours * 60 minutes/hour = 430 minutes.

7 0

22 days ago

To study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to

kicyunya [2264]

Answer:

a) τ = i ^ (y $F_{z}$ - z $F_{y}$ ) + j ^ (z Fₓ - x $F_{z}$ ) + k ^ (x $F_{y}$ - y Fₓ)

b) τ = (-0.189i ^ -5.6 j ^ + 33.978k ^) N m

c) α = (-7.8 10⁻⁴ i ^ - 2.3 10⁻² j ^ + 1.4 10⁻¹ k ^) rad / s²

Explanation:

a) The torque can be expressed as

τ = r x F

To tackle this equation, using the determinant approach is the most straightforward method

$\tau =\left[\begin{array}{ccc}i&j&k\\x&y&z\\F_{x}&F_{y} &F_{z}\end{array}\right]$

The resulting expression is

τ = i ^ (y $F_{z}$ - z $F_{y}$ ) + j ^ (z Fₓ - x $F_{z}$ ) + k ^ (x $F_{y}$ - y Fₓ)

b) Now let's compute

τ = i ^ (0.075 1.4 -0.035 8.4) + j ^ (0.035 2.8 - 4.07 1.4) + k ^ (4.07 8.4 - 0.075 2.8)

τ = i ^ (- 0.189) + j ^ (-5.6) + k ^ (33,978)

τ = (-0.189i ^ -5.6 j ^ + 33.978k ^) N m

c) To find angular acceleration, we use

τ = I α

α = τ / I

The moment of inertia being a scalar means that only the magnitude of each component changes, orientation remains constant.

α = (-0.189i^ -5.6 j^ + 33.978k^) / 241

α = (-7.8 10⁻⁴ i ^ - 2.3 10⁻² j ^ + 1.4 10⁻¹ k ^) rad / s²

8 0

6 days ago

The image illustrates that as the distance between two objects increases, the force of gravity ____________. A) decreases. B) in

Sav [2230]

The image is absent (but it's not essential to resolve the issue).

The right response is A) decreases, as gravitational force is inversely related to the square of the distance. The magnitude of the gravitational force between two masses M and m, separated by a distance d, is expressed as
$F=G \frac{Mm}{d^2}$
where G is the gravitational constant. The formula demonstrates that as the distance d between the two masses increases, the force magnitude diminishes.

7 0

12 days ago

Read 2 more answers

A composite wall separates combustion gases at 2400°C from a liquid coolant at 100°C, with gas and liquid-side convection coeffi

Ostrovityanka [2208]

Response:

$\text{heat loss} = 24864.05 \ W/m^2$

Clarification:

$T_1$ , $T_2$ represent the temperatures of gases and liquids in Kelvins,

$t_1$ and $t_2$ denote the thicknesses of the gas layer and steel slab in meters,
$h_1$ , $h_2$ are the convection coefficients for gas and liquid in $W/m^2 \cdot K$ ,
$R_c$ represents the contact resistance in $m^2 \cdot K/W$ ,