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Alexxandr [17]
3 years ago
7

A 2.70-m-long pole is balanced vertically on its tip. It starts to fall and its lower end does not slip. Part A What will be the

speed of the upper end of the pole just before it hits the ground? [Hint: Use conservation of energy.]
Physics
1 answer:
valkas [14]3 years ago
7 0

Answer:

v = 7.27 m / s

Explanation:

We will use energy conservation at two points, the highest and the lowest

initial. Highest point

    Em₀ = U

    Em₀ = m g y

final. Lowest point

we set the reference system at this point so that the potential energy is zero

    Em_{f} = K

   Em_{f} = ½ m v²

how energy is conserved

      Em₀ = Em_{f}

     mg y = ½ m v²

     v = √2 gy

     v = √ (2 9.8 2.7)

    v = 7.27 m / s

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A 1.15-kg mass oscillates according to the equation x = 0.650 cos(8.40t) where x is in meters and t in seconds. Determine (a) th
zheka24 [161]

Answer:

(a) A = 0.650 m

(b) f = 1.3368 Hz

(c) E = 17.1416 J

(d)  K = 11.8835 J

     U = 5.2581 J

Explanation:

Given

m = 1.15 kg

x = 0.650 cos (8.40t)

(a) the amplitude,

A = 0.650 m

(b) the frequency,

if we know that

ω = 2πf = 8.40    ⇒   f = 8.40 / (2π)

⇒   f = 1.3368 Hz

(c) the total energy,

we use the formula

E = m*ω²*A² / 2

⇒  E = (1.15)(8.40)²(0.650)² / 2

⇒  E = 17.1416 J

(d) the kinetic energy and potential energy when x = 0.360 m.

We use the formulas

K = (1/2)*m*ω²*(A² - x²)       (the kinetic energy)

and

U = (1/2)*m*ω²*x²              (the potential energy)

then

K = (1/2)*(1.15)*(8.40)²*((0.650)² - (0.360)²)

⇒  K = 11.8835 J

U = (1/2)*(1.15)*(8.40)²*(0.360)²

⇒  U = 5.2581 J

4 0
3 years ago
A. A child is twirling a 1.52 kg object in a vertical circle with a radius of 67.6
steposvetlana [31]

Answer:

(a) 4.21 m/s

(b) 24.9 N

Explanation:

(a) Draw a free body diagram of the object when it is at the bottom of the circle.  There are two forces on the object: tension force T pulling up and weight force mg pulling down.

Sum the forces in the radial (+y) direction:

∑F = ma

T − mg = m v² / r

v = √(r (T − mg) / m)

v = √(0.676 m (54.7 N − 1.52 kg × 9.8 m/s²) / 1.52 kg)

v = 4.21 m/s

(b) Draw a free body diagram of the object when it is at the top of the circle.  There are two forces on the object: tension force T pulling down and weight force mg pulling down.

Sum the forces in the radial (-y) direction:

∑F = ma

T + mg = m v² / r

T = m v² / r − mg

T = (1.52 kg) (4.21 m/s)² / (0.676 m) −  (1.52 kg) (9.8 m/s²)

T = 24.9 N

6 0
4 years ago
A truck is carrying a refrigerator as shown in the figure. The height of the refrigerator is 158.0 cm, the width is 60.0 cm. The
aliina [53]

The maximum acceleration the truck can have so that the refrigerator does not tip over is 1.86m/s².

<h3>What is acceleration?</h3>

Acceleration is the change in velocity with time.

The maximum acceleration is obtained by taking moments about the tipping point of rotation.

  • Moment = force * perpendicular distance
  • Clockwise moment = Anticlockwise moment

F₂ * 1.58 m = F₁ * 0.67 m

where

F₂ is tipping force = mass * acceleration, a

F₁ is weight = mass * acceleration due to gravity, g

The weight acts at a distance half the width of the refrigerator = 30 cm or 0.3 m

Height of refrigerator is 158 cm 0r 1.58 cm

m * a * 1.58 = m * 9.81 * 0.30

a = 1.86 m/s²

The maximum acceleration the truck can have so that the refrigerator does not tip over is 1.86m/s².

In conclusion, if the maximum acceleration is exceeded, the refrigerator will tip over.

Learn more about acceleration at: brainly.com/question/14344386

#SPJ1

8 0
2 years ago
Electric fields are MOST associated with ________.
alukav5142 [94]
With each point in space
5 0
3 years ago
Which physical property causes you to lean to one side when the bus you're travelling and take the Sharp turn
Zinaida [17]
Inertia of direction is the answer
4 0
3 years ago
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