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MrRissso [65]
4 years ago
14

g A rod is 2.0 m long and lies along the x-axis, with one end at the origin. A force of 25 N is applied at the point x = 1.2 m,

and is directed 30° above the x-axis. What is the torque on the rod?
Physics
1 answer:
Nataly [62]4 years ago
6 0

Answer:

τ = 15N.m

Explanation:

Torque on the rod is given by:

\tau=F*sin(30\°)*d

\tau=25*0.5*1.2

\tau=15N.m

If you were told that gravity contributes as well, and you were given the mass of the rod, you would have to subtract the torque of the weight to this value.

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sattari [20]
A law has always been observed to be true
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3 years ago
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A neutron star has a mass of 2.0 × 1030 kg (about the mass of our sun) and a radius of 5.0 × 103 m (about the height of a good-s
Nitella [24]

Answer:

v=516526.9m/s

Explanation:

The force to which the object of mass <em>m</em> is attracted to a star of mass <em>M</em> while being at a distance <em>r</em> is:

F=\frac{GMm}{r^2}

Where G=6.67\times10^{-11}Nm^2/Kg^2 is the gravitational constant.

Also, Newton's 2nd Law tells us that this object subject by that force will experiment an acceleration given by <em>F=ma.</em>

We have then:

ma=\frac{GMm}{r^2}

Which means:

a=\frac{GM}{r^2}

The object departs from rest (v_0=0m/s) and travels a distance <em>d</em>, under an acceleration <em>a</em>, we can calculate its final velocity with the formula v^2=v_0^2+2ad, which for our case will be:

v^2=2ad=\frac{2GMd}{r^2}

v=\sqrt{\frac{2GMd}{r^2}}

We assume <em>a</em> constant on the vecinity of the surface because d=0.025m is nothing compared with r=5\times10^3m. With our values then we have:

v=\sqrt{\frac{2GMd}{r^2}}=\sqrt{\frac{2(6.67\times10^{-11}Nm^2/Kg^2)(2\times10^{30}Kg)(0.025m)}{(5\times10^3m)^2}}=516526.9m/s

7 0
3 years ago
What is the mass, in kilograms, of an avogadro's number of people, if the average mass of a person is 170 lb ?
andre [41]
About 4.7e25 kilograms
8 0
3 years ago
You have a stopped pipe of adjustable length close to a taut 62.0 cmcm, 7.25 gg wire under a tension of 4710 NN. You want to adj
Oksana_A [137]

Answer:

6 cm long

Explanation:

F = 4110N

Vo(speed of sound) = 344m/s

Mass = 7.25g = 0.00725kg

L = 62.0cm = 0.62m

Speed of a wave in string is

V = √(F / μ)

V = speed of the wave

F = force of tension acting on the string

μ = mass per unit density

F(n) = n (v / 2L)

L = string length

μ = mass / length

μ = 0.00725 / 0.62

μ = 0.0116 ≅ 0.0117kg/m

V = √(F / μ)

V = √(4110 / 0.0117)

v = 592.69m/s

Second overtone n = 3 since it's the third harmonic

F(n) = n * (v / 2L)

F₃ = 3 * [592.69 / (2 * 0.62)

F₃ = 1778.07 / 1.24 = 1433.927Hz

The frequency for standing wave in a stopped pipe

f = n (v / 4L)

Since it's the first fundamental, n = 1

1433.93 = 344 / 4L

4L = 344 / 1433.93

4L = 0.2399

L = 0.0599

L = 0.06cm

L = 6cm

The pipe should be 6 cm long

6 0
3 years ago
A basketball with a mass of 1.5 kg is thrown with a force of 21 N at an angle of 60 degrees above the horizontal. What is the ve
sergey [27]

Answer:

b) 12.12 m/s² upwards

Explanation:

∑F = ma

21 sin 60° N = (1.5 kg) a

a = 12.12 m/s²

3 0
3 years ago
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