Mass is a fundamental physical quantity give scientific reason

You are given a (massless) piece of string that is L=1.45~\mathrm{m}L=1.45 m long, and tied to the end of it is an object of mas

bearhunter [10]

Answer:

v = 4.25 m / s

Explanation:

To solve this exercise we must use Newton's second law, let's set a reference system that is horizontal and vertical

Axis y

$T_{y}$ - W = 0

X axis

Tₓ = m a

The acceleration is centripetal

a = v² / r

Tₓ = m v² / r

v² = Tₓ r / m (1)

Let's use trigonometry to find the tension components,

sin θ = Tₓ / T

cos θ = $T_{y}$ / T

$T_{y}$ = T cos θ

Tₓ = T sin θ

Let's look angle for the maximum tension 103 N

$T_{y}$ = T cos θ = W

θ = cos⁻¹ W / T

θ = cos⁻¹ (5.77 9.8 / 103)

θ = 56.7°

Now let's find the radius of the circle

sin 56.7 = r / L

r = L sin 56.7

We substitute in the speed equation (1)

v² = T sin 56.7 L sin 56.7 / m

v = √ T L sin² 56.7 / m

Let's calculate

v = √ (103 1.45 sin² 56.7 /5.77)

v = 4. 25 m / s

6 0

4 years ago

Absolute pressure in tank is P1 = 260 kPa and local ambient absolute pressure is P2 =100 kPa. If liquid density in pipe is 13600

Pavlova-9 [17]

Answer:

1.176m

Explanation:

Local ambient pressure(P1) = 100 kPa

Absolute pressure(P2)=260kPa

Net pressure=absolute pressure-local ambient absolute pressure

Net pressure=P1(absolute pressure)-P2(local ambient absolute pressure)

Net pressure=260-100=160kPa

Pressure= ρgh

160kPa=13600*10*h

h= $\frac{160000}{136000}$

h=1.176m

5 0

3 years ago

1200 calories isfind the change in internal energy of the system 1200 calories is removed from a gas held at constant volume giv

Lostsunrise [7]

Divide those two then 300

7 0

3 years ago

Which of the following statements are true? Check all that apply. Check all that apply. The gravitational force between two obje

AveGali [126]

The gravitational force between two objects is inversely proportional to the square of the distance between the two objects.

The gravitational force between two objects is proportional to the product of the masses of the two objects.

The gravitational force between two objects is proportional to the square of the distance between the two objects. no

The gravitational force between two objects is inversely proportional to the distance between the two objects. no

The gravitational force between two objects is proportional to the distance between the two objects. no

The gravitational force between two objects is inversely proportional to the product of the masses of the two objects. no

3 0

3 years ago

Read 2 more answers

A spring with a spring constant kk of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. it is then s

tino4ka555 [31]

Given:

k = 100 lb/ft, m = 1 lb / (32.2 ft/s) = 0.03106 slugs

Solution:

F = -kx
mx" = -kx
x" + (k/m)x = 0

characteristic equation:
r^2 + k/m = 0
r = i*sqrt(k/m)

x = Asin(sqrt(k/m)t) + Bcos(sqrt(k/m)t)

ω = sqrt(k/m)
2π/T = sqrt(k/m)
T = 2π*sqrt(m/k)
T = 2π*sqrt(0.03106 slugs / 100 lb/ft)
T = 0.1107 s (period)

x(0) = 1/12 ft = 0.08333 ft
x'(0) = 0

1/12 = Asin(0) + Bcos(0)
B = 1/12 = 0.08333 ft

x' = Aω*cos(ωt) - Bω*sin(ωt)
0 = Aω*cos(0) - (1/12)ω*sin(0)
0 = Aω
A = 0

So B would be the amplitude. Therefore, the equation of motion would be x = 0.08333*cos[(2π/0.1107)t]

5 0

4 years ago

Mass is a fundamental physical quantity give scientific reason​

Mass is a fundamental physical quantity give scientific reason