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atroni [7]
4 years ago
13

Suppose that a constant force is applied to an object. newton's second law of motion states that the acceleration of the object

varies inversely with its mass. a certain force acting upon an object with mass 2 kg produces an acceleration of 38 /ms2 . if the same force acts upon another object whose mass is 19 kg , what would this object's acceleration be?
Physics
1 answer:
amid [387]4 years ago
3 0

Newton’s second law states that force is the product of mass and acceleration. This is expressed mathematically as:

F = m * a

Where F = force, m = mass, a = acceleration

Since in the given problem, the force is constant or same force is acting upon two objects. Therefore we can simply equate the expression m * a of the 2 objects.

m1 * a1 = m2 * a2

Where m1 = 2 kg, a1 = 38 m/s^2, m2 = 19 kg. Therefore finding for a2:

2 kg * 38 m/s^2 = 19 kg * a2

<span>a2 = 4 m/s^2     (ANSWER)</span>

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To solve this problem we will use Snell's law. This law is used to calculate the angle of refraction of light by crossing the separation surface between two means of propagation of light (or any electromagnetic wave) with a different index of refraction.

n_1 sin\theta_1 = n_2 sin\theta_2

Where,

n_{1,2} = Index of refraction for each material

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A ray of light propagating in a medium with index of refraction n_1 hitting an angle \theta_1 on the surface of a medium of index n_2 with n_1> n_2 can be fully reflected inside the medium of highest refractive index:

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Replacing we have,

\theta_{critical} = Sin^{-1}(\frac{n_1}{n_2})

\theta_{critical} = Sin^{-1}(\frac{1.3}{1.5})

\theta_{critical} = 60.07\°

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