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Tems11 [23]
4 years ago
9

A 3.10-mm-long, 430 kgkg steel beam extends horizontally from the point where it has been bolted to the framework of a new build

ing under construction. A 69.0 kgkg construction worker stands at the far end of the beam.What is the magnitude of the gravitational torque about the point where the beam is bolted into place?
Physics
1 answer:
Alex17521 [72]4 years ago
4 0

Answer:

Explanation:

Given that,

The length of the beam L = 3.10m

The mass of the steam beam m_1 = 430kg

The mass of worker m_2 = 69.0kg

The distance from  the fixed point to centre of gravity of beam = \frac{L}{2}

and our length of beam is 3.10m

so the distance from  the fixed point to centre of gravity of beam is

\frac{3.10}{2}=1.55m

Then the net torque is

=-W_sL'-W_wL\\\\=-(W_sL'+W_wL)

W_s is the weight of steel rod

=430\times9.8=4214N

W_w is the weight of the worker

=69\times9.8\\\\=676.2N

Torque can now be calculated

-(4214\times1.55+676.2\times3.9)Nm\\\\-(6531.7+2637.18)Nm\\\\-(9168.88)Nm

≅ 9169Nm

<h3>Therefore,the magnitude of the torque is 9169Nm</h3>

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The elevator accelerates upward (in the positive direction) from rest at a rate of 1.95 m/s2 for 2.15 s. Calculate the tension i
sammy [17]

The mass is missing. The mass of the elevator is 1650 kg.

Answer:

The tension in the cable is 19387.5 N.

Explanation:

Given:

Initial velocity of the elevator (u) = 0 m/s

Acceleration in the upward direction (a) = 1.95 m/s²

Time taken by the elevator (t) = 2.15 s

Mass of the elevator and persons (m) = 1650 kg

Let the tension in the cable wire be 'T' Newtons.

Now, there are 2 forces acting in the vertical direction. One is tension in the upward direction and the other the weight of the elevator in the downward direction.

As the elevator is accelerating upward, the net force acts in the upward direction.

So, net force on the elevator is given as:

F_{net}=T-mg

Now, from Newton's second law, net force equals mass times acceleration.

F_{net}=ma\\\\T-mg=ma\\\\T=m(g+a)

Plug in the given values and solve for 'T'. This gives,

T=1650\ kg(9.8+1.95)\ m/s^2\\\\T=1650\times11.75\ N\\\\T=19387.5\ N

Therefore, the tension in the cable is 19387.5 N.

3 0
4 years ago
In a Rutherford scattering experiment, an alpha particle is accelerated toward a stationary silver nucleus. If the closest appro
lys-0071 [83]

Answer:

Initial Kinetic energy of alpha particle is  9.45x10⁻¹³ J .

Explanation:

The distance at which the initial kinetic energy of the particle is equal to the potential energy is known as closest distance. As it is Rutherford scattering, so it is a coulomb potential energy.

Let K be the initial kinetic energy of alpha particle and r be the closest approach distance. So,

Initial Kinetic Energy = Coulomb Potential Energy

K = \frac{k\times2e\times{Ze}}{r }

Here, k is constant, e is charge of electron and Z is the atomic number of silver.

Put 9x10⁹ N m²/C² for k, 1.6x10⁻¹⁹ C for e, 47 for Z and 22.9x10⁻¹⁵ m for r in the above equation.

K = \frac{9\times10^{9}\times{1.6}\times10^{-19}\times{1.6}\times10^{-19}\times2\times47}{22.9\times10^{-15} }

K = 9.45x10⁻¹³ J

3 0
4 years ago
We have seen that an electric field must exist inside a conductor that carries a current. How is that possible in view of the fa
sleet_krkn [62]

Answer:

Explanation:

The potential difference between one side of the wire causes the electric field inside the wire (causes the electrons to flow). However, inside the wire, it is still neutral. The electrons are just moving, the wire is not gaining or losing electrons.

7 0
3 years ago
Suppose Person A runs off the edge of the cliff at 2 m/s and Person B runs off the edge at 1 m/s. Which will hit the ground fart
djverab [1.8K]

Answer:

<h2>Person A will hit a distance father</h2>

Explanation:

Based on the fact that the velocity of person A is more than that of person B, that is from the question, person A has a velocity of 2m/s and person B has a velocity of 1m/s, this clearly shows that person A has the tendency to hit a distance farther from the cliff than person B.

3 0
4 years ago
Please answer :( gravity question for science
andreev551 [17]

The two forces acting on your body are the weight and the normal  force

Explanation:

As you sit on your chair in front of the computer, there are 2 forces acting on you:

  • The force of gravity, of magnitude mg (where m is your mass and g=9.8 m/s^2 is the acceleration of gravity), acting downward
  • The normal reaction exerted by the chair on your body, N, acting upward, and balancing your weight

We can apply Newton's second law to this situation; the law states that the net force acting on an object is equal to the product between the mass of the object and its acceleration:

\sum F = ma

where

\sum F is the net force

m is the mass

a is the acceleration

For your body sitting on the chair,

\sum F = N-mg

we also know that your body is at rest, so the acceleration is zero:

a=0

This means that the net force is zero, and therefore:

\sum F = 0 =N-mg\\\rightarrow N = mg

Learn more about Newton's second law of motion:

brainly.com/question/3820012

#LearnwithBrainly

8 0
3 years ago
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