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andrezito [222]
3 years ago
15

A ski lift carries people along a 220-meter cable up the side of a mountain. Riders are lifted a total of 110 meters in elevatio

n. What is the ideal mechanical advantage of the ski lift?
Physics
1 answer:
jeka943 years ago
3 0

The ideal mechanical advantage (IMA) can be determined by the following equation:

 IMA= Input distance/Output distance

 The Input distance and Output distance are:

 Input distance=220 meters

 Output distance=110 meters

 When you substitute in the equation of the ideal mechanical advantage (IMA), you obtain:

 IMA= Input distance/Output distance

 IMA= 220 meters/110 meters

 IMA=2

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Why do you think the government of ancient Rome was unfair?
Olenka [21]

Western Civilization is forever indebted to the people of ancient Greece and Rome. Among the numerous contributions these societies made are in the fields of art, literature and philosophy; however, perhaps their greatest gift to future generations was the modern perception of government. The contemporary idea of democracy, while borne out of the political struggles in the city of Athens, came to fruition in the Roman Republic, surviving, despite the constant interference of the emperor, through the Roman Empire. Although the present definition of democracy has changed considerably, one must still recognize its early evolution in that eternal city, Rome.

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4 0
3 years ago
A lightbulb consumed 1100J in 30 minutes. Find Power, resistance, and calculate energy in kWh
lisov135 [29]

Explanation:

30 minutes is 1800 seconds.

Power = energy / time

P = 1100 J / 1800 s

P = 0.611 W

Converting the energy from J to kWh:

1100 J × (1 Ws / 1 J) × (1 kW / 1000 W) × (1 h / 3600 s) = 3.06×10⁻⁴ kWh

To find resistance, you need to be given either the voltage or the current.

5 0
3 years ago
A comet is traveling through space with speed 3.01 ✕ 104 m/s when it encounters an asteroid that was at rest. The comet and the
Tcecarenko [31]

Answer: 8.493(10)^{-3} m/s

Explanation:

According to the conservation of linear momentum principle, the initial momentum p_{i} (before the collision) must be equal to the final momentum p_{f} (after the collision):

p_{i}=p_{f} (1)

In addition, the initial momentum is:

p_{i}=m_{1}V_{1}+m_{2}V_{2} (2)

Where:

m_{1}=1.71(10)^{14} kg is the mass of the comet

m_{2}=6.06(10)^{20} kg is the mass of the asteroid

V_{1}=3.01(10)^{4} m/s is the velocity of the comet, which is positive

V_{2}=0 m/s is the velocity of the asteroid, since it is at rest

And the final momentum is:

p_{f}=(m_{1}+m_{2})V_{f} (3)

Where:

V_{f} is the final velocity

Then :

m_{1}V_{1}+m_{2}V_{2}=(m_{1}+m_{2})V_{f} (4)

Isolating V_{f}:

V_{f}=\frac{m_{1}V_{1}}{m_{1}+m_{2}} (5)

V_{f}=\frac{(1.71(10)^{14} kg)(3.01(10)^{4} m/s)}{1.71(10)^{14} kg+6.06(10)^{20} kg}

Finally:

V_{f}=8.493(10)^{-3} m/s This is the final velocity, which is also in the positive direction.

8 0
3 years ago
A 2.00 kg cat is in a 97.00 kg elevator. What force on the elevator cable would be needed to lower the cat/elevator pair with an
umka21 [38]

The magnitude of force on the elevator cable that would be needed to lower the cat/elevator pair is 198 Newton.

<u>Given the following data:</u>

  • Mass of cat = 2 kg
  • Mass of elevator = 97 kg
  • Acceleration = 2 m/s^2

To determine the magnitude of force on the elevator cable that would be needed to lower the cat/elevator pair, we would apply Newton's Second Law of Motion:

First of all, we would calculate the total mass of the cat/elevator pair.

Total \;mass=2 + 97

Total mass = 99 kilograms

Mathematically, Newton's Second Law of Motion is given by this formula;

Force = mass \times acceleration

Substituting the given parameters into the formula, we have;

Force = 99 \times 2

Net force = 198 Newton

Read more here: brainly.com/question/24029674

3 0
3 years ago
A small metal ball with a mass of m = 62.0 g is attached to a string of length l = 1.85 m. It is held at an angle of θ = 48.5° w
notka56 [123]

The distance x will the ball land after flies off with a horizontal initial velocity  is 3.0635 m.

<h3>What is mechanical energy?</h3>

The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.

M.E = KE +PE

A small metal ball with a mass of m = 62.0 g is attached to a string of length l = 1.85 m. It is held at an angle of θ = 48.5° with respect to the vertical.

The ball is then released. When the rope is vertical, the ball collides head-on and perfectly elastically with an identical ball originally at rest. This second ball flies off with a horizontal initial velocity from a height of h = 3.76 m, and then later it hits the ground.

The conservation of energy principle states that total mechanical energy remains conserved in all situations where there is no external force acting on the system.

Kinetic energy  = Potential energy

1/2 mv² =mgh₁

The velocity at the bottom, when the height h = 5m, is

v= √2gh₁...................(1)

The vertical height h₁ = l- lcosθ

h₁ = l- lcosθ

h₁ = 1.85 - 1.85cos48.5°

h₁ =0.6241 m

Putting the values in equation (1), we get

v = √2x 9.81 x0.6241

v = 3.499 m/s

The horizontal distance traveled is

x = vt

x = v x √2h/g

Plug the values, we get

x =  3.499 x √2x3.76 / 9.81

x = 3.0635 m

Thus, the horizontal distance ball travels is  3.0635 m.

Learn more about mechanical energy.

brainly.com/question/13552918

#SPJ1

6 0
2 years ago
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