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topjm [15]
3 years ago
13

The illustration in figure below shows a uniform metre rule weighing 30 N pivoted on a wedge placed under the 40 cm mark and car

rying a weight of 70 N hanging 2 from the 10 cm mark. The ruler is balanced horizontally by a weight W hanging from the 100 cm mark. Calculate the value of the weight W.

Physics
1 answer:
stiv31 [10]3 years ago
3 0

Answer:

W = 30 N

Explanation:

Applying the summation of torques about the wedge for equilibrium, taking the clockwise direction as negative. Since the ruler is balanced horizontally about the wedge. Therefore, the summation of all torques acting about the wedge must be equal to zero.

(70\ N)(40\ cm - 10\ cm)-(30\ N)(50\ cm-40\ cm)-(W)(100\ cm - 40\ cm) = 0\\W(60\ cm) = (70\ N)(30\ cm)-(30\ N)(10\ cm)\\\\W = \frac{1800\ N.cm}{60\ cm}

<u>W = 30 N</u>

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Answer:

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A tennis player receives a shot with the ball (0.0600 kg) traveling horizontally at 50.4 m/s and returns the shot with the ball
jonny [76]

(a) The impulse delivered to the ball by the racket is 5.24 kg.m/s

(b) The work that the racket does on the ball is -35.1 Joule

<h3>Further Explanation</h3>

<u>Given :</u>

mass of ball = m = 0.06 kg

initial velocity = v₁ = -50.4 m/s

final velocity = v₂ = 37.0 m/s

<u>Unknown :</u>

(a) Impulse = I = ?

(b) Work = W = ?

<u>Solution :</u>

<h2>Question (a) :</h2>

In this question , we could use the formula from Second Law of Newton :

I = \Delta p

I = p_2 - p_1

I = m \times v_2 - m \times v_1

I = m \times (v_2 - v_1)

I = 0.06 \times (37.0 - (-50.4))

I = 0.06 \times (87.4)

I = 5.244~kg.m/s

\large { \boxed {I \approx 5.24~kg.m/s} }

<h2>Question (b) :</h2>

W = F \times d

W = (\frac{I}{\Delta t})(\frac {v_1 + v_2}{2} \Delta t)

W = \frac{I(v_1 + v_2)}{2}

W = \frac{5.244(-50.4 + 37)}{2}

W = \frac{5.244(-13.4)}{2}

W = -35.1348~Joule

\large { \boxed {W \approx -35.1~Joule}}

<h3>Learn more</h3>

Newton's Law of Motion: brainly.com/question/10431582

Example of Newton's Law: brainly.com/question/498822

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Dynamics

Keywords: Newton, Law, Impulse, Work

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