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Paha777
1 month ago
10

The acceleration due to gravity on the moon is 1.6 m/s2, about a sixth that of Earth’s. Which accurately describes the weight of

an object on the moon?
Physics
2 answers:
inna [3.1K]1 month ago
8 0

According to E2020, the correct answer is that an object on the moon is six times lighter than it would be on Earth.

kicyunya [3.2K]1 month ago
5 0

Response:

The question is not fully provided; here is the complete context:

Gravity's acceleration on the moon is 1.6 m/s², roughly one-sixth that of Earth's. What is the accurate description of an object's weight on the moon?

A. An object on the moon is lighter by a factor of 1/6 compared to Earth.

B. An object on the moon is heavier by a factor of 1/6 compared to Earth.

C. An object on the moon is six times lighter than on Earth.

D. An object on the moon is six times heavier than on Earth.

The correct choice is:

An object on the moon is six times lighter than on Earth. (C)

Explanation:

The acceleration resulting from gravity indicates how a gravitational force impacts an object, causing it to accelerate. This is a vectorial quantity because it possesses both magnitude and direction, measured in the unit of m/s². On Earth, this gravitational acceleration is represented by the letter g and its value is approximately 9.8m/s².

The larger size of the Earth in comparison to the moon causes its gravitational acceleration to be about six times greater than that of the moon, resulting in the moon's gravitational acceleration being approximately 1.6m/s².

Next, weight refers to the product of mass and gravity's acceleration. This reflects the gravitational pull acting upon a mass, which is also measured in Newtons, similar to force.

Weight = m × g (N)

From the weight formula, we can see that weight corresponds directly to mass and gravitational acceleration:

weight ∝ mass;

weight ∝ gravitational acceleration.

This implies that if gravitational acceleration increases, weight increases as well, and vice versa.

For instance, let's calculate the weights of a 10kg object on both Earth and the moon.

Gravitational acceleration on Earth (g₁) = 9.8m/s².

Gravitational acceleration on the moon (g₂) = 1.6m/s².

On Earth:

weight = m × g₁ = 10 × 9.8 = 98 N.

On the moon:

weight = m × g₂ = 10 × 1.6 = 16 N.

From the above example, since the acceleration due to gravity on the moon is 1/6 that of Earth, the weight of a 10kg object on the moon is approximately six times lighter (16 N) than its weight on Earth (98 N).

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A clock has an hour hand of length 2.4 cm and a minute hand of length 3.8 cm. (a) Calculate the position and velocity of the hou
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Answer:

  1. At 12:00, the hour hand is positioned at 0 degrees, with its tip moving at an estimated 1.26 cm/hour.
  2. At 12:15, the minute hand is at 90 degrees, traveling at roughly 23.88 cm/hour.

Explanation:

The position is established by an angle, which begins at the 12:00 point and extends clockwise.

  1. At noon, the hour hand is at the 12:00 position, thus its position is 0 degrees; it has an angular velocity of (2π)/(12 hours) = π/(6 hours). Therefore, the tip moves at a linear velocity of (2.4 cm) * π/(6 hours) ≅ 1.26 cm/hour.
  1. At 12:15, the minute hand is at the 3 o'clock position, giving it a position of 90 degrees or π/2; its angular velocity is (2π)/(1 hour) = 2π/hour. Thus, the tip moves at a linear velocity of (3.8 cm) * 2π/hour ≅ 23.88 cm/hour.
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2 months ago
A dipole of moment 0.5 e·nm is placed in a uniform electric field with a magnitude of 8 times 104 N/C. What is the magnitude of
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Answer:

The resultant torque is zero.

Explanation:

Assuming the dipole consists of two equal but opposite charges e, it can be represented by a rod with one end featuring a charge e and the other end with -e. Since the dipole is aligned with the electric field, both charges experience forces that are parallel to this electric field. Consequently, there are no force components that act perpendicular to the rod, which is necessary for torque to occur.

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2 months ago
One day you are driving your friends around town and you drive quickly around a corner without slowing down. You are going at a
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Result:

1.60 g

Elucidation:

Based on the attached document:

we can infer that:

v = v_x =v_y = 20 \ m/s \\t = 2s

The distance covered in 2 seconds will be:

x = vt

x = 20 m/s × 2 s

x = 40 m

The segment corresponds to a quarter of a circle with radius r,

therefore, if 2 πr = 4 x

Then the radius (r) can be calculated as:

r = \frac{4x}{2 \pi}\\\\r = \frac{4*40}{2 \pi}

r = 25.5 m

Centripetal acceleration can be expressed as:

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

thus;

a = \frac{(20 \ m/s^2)}{25.5 \ m}

a = 15.7 m/s²

The acceleration magnitude suffered by your passengers in relation to the acceleration due to gravity can be calculated using:

a' = \frac{a}{g} g

a' = \frac{15.7 \m/s ^2}{9.81 \ m/s^2}\ g

a' = 1.60 \ g

∴ The acceleration magnitude experienced by your passengers while turning = 1.60 g

6 0
2 months ago
Read 2 more answers
Richard needs to fly from san diego to halifax, nova scotia and back in order to give an important talk about mathematics. on th
Ostrovityanka [3204]

As the plane heads toward Halifax, the wind speed supports the flight path

resulting in an overall improved speed

Conversely, during the return trip, the wind will resist the plane's motion, decreasing the net speed

The total journey lasts 13 hours

of which 2 hours was dedicated to the mathematics discussion

Consequently, the total flight time is 13 - 2 = 11 hours

Now we apply the formula to calculate the time for traveling to Halifax

t_1 = \frac{d}{v + 50}

Time needed to return

t_2 = \frac{d}{v - 50}

Let’s look at the total time

T = t_1 + t_2

11 = \frac{d}{v - 50} + \frac{d}{v + 50}

Here d = 3000 miles

11 = \frac{3000}{v - 50} + \frac{3000}{v + 50}

3.67 * 10^{-3} = \frac{2v}{v^2 - 2500}

v^2 - 2500 = 545.45v

By solving the derived quadratic equation

v = 550 mph

the plane's speed calculates to 550 mph

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1 month ago
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Calculate the heat required when 2.50 mol of a reacts with excess b and a2b according to the reaction: 2a + b + a2b → 2ab + a2 g
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Answer:

Q = 12.5 kJ

Explanation:

The formula used to compute heat is:

Q = H° * n

Where:

Q: heat (J or kJ)

H°: enthalpy of reaction (kJ/mol)

n: moles

Now, as noted in the comments, the question lacks completeness, here is the part that is missing:

Given:

2A + B  A2B (1)

ΔH° = – 25.0 kJ/mol

2A2B  2AB + A2 (2)

ΔH° = 35.0 kJ/mol

Using these two reactions, we can determine the heat change.

Using the above two reactions, we need to establish the overall reaction (the one presented in the question), so let’s combine (1) and (2):

2A + B -------> A2B   H°1 = -25 kJ/mol

2A2B --------> 2AB + A2   H°2 = 35 kJ/mol

When we add these equations, one A2B cancels out with one A2B from reaction 2, thus, we have:

2A + B + 2A2B -------> 2AB + A2

So, for the enthalpy, the values are summed:

H°3 = -25 + 35 = 10 kJ/mol

Now we can calculate the heat:

Q = 10 * 2.5 = 25 kJ

However, as we have 2A in the reaction, it does not maintain a 1:1 mole ratio, instead, it is 1:2, which requires us to adjust; thus:

Q = 25 / 2 = 12.5 kJ

3 0
1 month ago
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