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shusha [124]
2 years ago
11

A 100 N force is applied to a 50 kg crate resting on a level floor. The coefficient of kinetic friction is 0.15. What is the acc

eleration of the crate after it begins to move
Physics
1 answer:
Nookie1986 [14]2 years ago
8 0

The acceleration of the crate after it begins to move is 0.5 m/s²

We'll begin by calculating the the frictional force

Mass (m) = 50 Kg

Coefficient of kinetic friction (μ) = 0.15

Acceleration due to gravity (g) = 10 m/s²

Normal reaction (N) = mg = 50 × 10 = 500 N

<h3>Frictional force (Fբ) =?</h3>

Fբ = μN

Fբ = 0.15 × 500

<h3>Fբ = 75 N</h3>

  • Next, we shall determine the net force acting on the crate

Frictional force (Fբ) = 75 N

Force (F) = 100 N

<h3>Net force (Fₙ) =?</h3>

Fₙ = F – Fբ

Fₙ = 100 – 75

<h3>Fₙ = 25 N</h3>

  • Finally, we shall determine the acceleration of the crate

Mass (m) = 50 Kg

Net force (Fₙ) = 25 N

<h3>Acceleration (a) =?</h3>

a = Fₙ / m

a = 25 / 50

<h3>a = 0.5 m/s²</h3>

Therefore, the acceleration of the crate is 0.5 m/s²

Learn more on friction: brainly.com/question/364384

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The resultant is maximum when the angle between the two vectors is zero

Explanation:

The formula to calculate the resultant of two vectors A, B is the following:

R=\sqrt{A^2+B^2+2ABcos \theta}

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A is the magnitude of vector A

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\theta is the angle between the directions of A and B

This formula can be derived by applying the parallelogram law.

From the formula, we observe that:

- When \theta=0^{\circ} (vectors A and B parallel), cos \theta = 1. so the resultant becomes simply

R=\sqrt{A^2+B^2 + 2AB}=\sqrt{(A+B)^2}=A+B

- When \theta = 90^{\circ} (vectors A and B perpendicular), cos \theta = 0, so the resultant becomes

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- When \theta=180^{\circ} (vectors A and B anti-parallel), cos \theta = -1, so the resultant becomes

R=\sqrt{A^2+B^2 - 2AB}=\sqrt{(A-B)^2}=|A-B|

By looking at the three cases and at the formula, we see that the maximum value of the resultant is when the angle between the two vectors is zero, since in that case the resultant is simply obtained by adding the magnitudes of the two vectors.

Learn more about vector addition:

brainly.com/question/4945130

brainly.com/question/5892298

#LearnwithBrainly

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