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Sonja [21]
3 years ago
13

In physics class, Carrie learns that a force, G, is equal to the mass of an object, m, times its acceleration, a. She writes the

equation as G = ma, then realizes that each of her homework problems asks her to solve for acceleration. She rewrites the formula as = a. Using this formula, what is the acceleration of an object with F = 7.92 newtons and m = 3.6 kilograms? Express your answer to the nearest tenth.
Mathematics
2 answers:
kap26 [50]3 years ago
7 0

Answer:

2.2

Step-by-step explanation:

wlad13 [49]3 years ago
6 0

Your problem statement is missing the formula Carrie came up with. It should be The one she started with, divided by m.

... G/m = a

For the values given, the acceleration is

... (7.92 N)/(3.6 kg) = 2.2 m/s²

_____

The unit of newtons is abbreviated N.

1 N = 1 kg·m/s² so dividing by kilograms leaves units of m/s², which are the units of acceleration.

Very likely, your question is not concerned with the units, just the number: 2.2. It's a straight division problem, easily handled by hand, by calculator, or in your head (after you realize 7.92 = 7.2×1.1 = 2×3.6×1.1).

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valina [46]

The rate at which the distance from the plane to the station increases is 537 miles/hour. Computed using Pythagoras Theorem and Differentiation.

We assume the station to be at point A.

The plane when directly over the station, takes point C.

As it is flying horizontally continuously at an altitude of 1 mile, AC = b = 1 mile.

The plane flies continuously, and when it is at a distance of 3 miles from the station, it is at point B.

The distance between the plane and the station of 3 miles can be shown as AB = c = 3 miles.

The movement of the plane from C to B can be shown as BC = a.

Now, from the given case, we get a right triangle ABC.

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or, a = 2√2 miles.

We are told that the plane is moving at a speed of 570 miles/hour.

This can be shown as, da/dt = 570 miles/hour.

As the plane is moving horizontally, the vertical distance between the plane and the station doesn't change, that is, db/dt = 0.

In the question, we are asked to find the rate at which the distance from the plane to the station is increasing, that is, we are asked to find dc/dt.

Differentiating (i), with respect to time t, we get:

2a(da/dt) + 2b(db/dt) = 2c(dc/dt).

Substituting values of a = 2√2 miles, b = 1 mile, c = 3 miles, da/dt = 570 miles/hour, and db/dt = 0, we get:

2(2√2)(570) + 2(1)(0) = 2(3)(dc/dt),

or, 2280√2 + 0 = 6(dc/dt),

or, dc/dt = 380√2 miles/hour = 537.40 miles/hour ≈ 537 miles/hour.

Thus, the rate at which the distance from the plane to the station increases is 537 miles/hour. Computed using Pythagoras Theorem and Differentiation.

Learn more about the Pythagoras Theorem and Differentiation at

brainly.com/question/15291822

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Step-by-step explanation:

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