A simulation shows whether changing various weather conditions increases

What is the result of two displacement vectors having opposite directions?

jonny [76]

Answer:

Resultant of two vectors having opposite direction is the difference of the two displacements having the same direction as the larger vector. 

Explanation:

Resultant of two vectors is obtained by performing the vector addition operation. When the directions of both vectors are same the resultant’s direction will also be the same as the inputs. When two vectors have opposite directions, one direction will be taken positive making one vector positive and the other negative.

By performing addition of a positive and negative number we are actually taking the difference between both. Thus performing vector addition of two vectors with opposite directions is equivalent to finding the difference between the vectors. Consider a system consisting of a solid block, on which two forces F1 and F2 act in the opposite direction.

One force will be considered positive and the other is considered negative. The resultant is given by the difference of two force vectors. Displacement of the block will be in the direction of the greater force.

5 0

3 years ago

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A circular disc of mass 20kg and radius 15cm is mounted in an horizontal cylindrical axle of radius

disa [49]

Using the concepts of energy, rotational Newton's second law and rotational kinematics we can find the kinematic energy of the system formed by the disk and the cylindrical axis

KE = 0.23 J

given parameters

Disk radius R = 15 cm = 0.15 m
Cylinder radius r = 1.5 cm = 0.0015 m
Disk mass M = 20 kg
Time t = 1.2 s
Force F = 12 N

to find

Kinetic energy (KE)

This exercise must be solved in parts:

1st part. Endowment kinetic energy is the energy due to the circular motion of an object and is described by the equation

KE = ½ I w²

Where KE is the kinetic energy, I the moment of inertia and w the angular velocity

The moment of inertia is a magnitude that measures the inertia for rotational movement, it is a scalar quantity, therefore it is additive. In this system it is composed of two bodies, the disk and the cylindrical axis, for which the total moment of inertia it is

I_{ total} = I_{ disk} + I_{ cylinder}

the moments of inertia with respect to an axis passing through the center of mass are tabulated

disk I_{disk} = ½ M R²

cylinder I_{cylinder} = ½ m r²

where M and m are the masses of the disk and cylinder respectively, R and r their radii

I_{total} = ½ (M R² + m r²) = ½ M R² ( $1 + \frac{m}{M} \ (\frac{r}{R})^2$ )

I_{total} = ½ M R² ( $1+ \frac{m}{20} (\frac{0.015}{0.15} )^2$ ) = $\frac{1}{2}$ M R² (1 + 0.005 m)

As the shaft mass is much lighter than the disk mass , the last term is very small, which is why we despise it.

I_{total} = ½ M R²

2nd part. Let's use Newton's second law for endowment motion

τ = I α

α = $\frac{\tau }{I_{total}}$ l

τ = F R

α = $\frac{F \ R}{I_{total}}$

With the rotational kinematics expressions, we assume that the system starts from rest (w₀ = 0)

w = w₀ + α t

where w is the angular velocity, alpha is the angular acceleration and t is the time

w = 0 + $\frac{\tau }{I_{total}} \ t$

we substitute in the kinetic energy equation

KE = ½ I_{total} ( $\frac{ \tau }{I_{total}} \ t$ )²

KE = ½ $\frac{ \tau^2 }{I_{total}} \ t^2$

let's substitute

KE = $\frac{F^2 \ R^4}{M \ R^2 } \ t^2$

KE = F² R² t² / M

let's calculate

KE = 12² 0.15² 1.2² / 20

KE = 0.23 J

With the concepts of energy and rotational kinematics we can find the kinetic energy of the system is

KE = 0.23 j

learn more about rotational kinetic energy here:

brainly.com/question/20261989

4 0

2 years ago

(5, 3) and (7, 3) are two coordinate points for a single object on a position-versus-time graph. Assume time is measured in seco

Maru [420]

Since the y axis stayed consistent, we can assume it did not move at all.
(So your answer would be A)

6 0

3 years ago

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What is due to acids formed when atmospheric and volcanic gases mix with water

Ilya [14]

Answer:

Acid rain results when sulfur dioxide (SO2) and nitrogen oxides (NOX) are emitted into the atmosphere and transported by wind and air currents. The SO2 and NOX react with water, oxygen, and other chemicals to form sulfuric and nitric acids. These then mix with water and other materials before falling to the ground.

Explanation:

5 0

2 years ago

. If a pendulum-driven clock gains 5.00 s/day, what fractional change in pendulum length must be made for it to keep perfect tim

inn [45]

Answer:

The appropriate response will be "Length must be increased by 0.012%".

Explanation:

The given values is:

ΔT = 5 s/day

Now,

⇒ $\frac{\Delta T}{T} =\frac{5}{24\times 60\times 60}$