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Zanzabum
3 years ago
15

A simple pendulum makes 120 complete oscillations in 3.00 min at a location where g 5 9.80 m/s2. Find (a) the period of the pend

ulum and (b) its length.
Physics
1 answer:
choli [55]3 years ago
6 0

Answer:

(a) 1.5 second

(b) 0.56 m

Explanation:

Pendulum makes 120 oscillations in 3 min that means in 180 seconds

time taken by the pendulum to complete one oscillation is called time period.

(a) So, the time period is 180 / 120 = 1.5 second

T = 1.5 second

Thus, the time period of the pendulum is 1.5 second.

(b) g = 9.8 m/s^2

The formula for the time period is given by

T =2\pi \sqrt{\frac{L}{g}}

Where, L be the length of pendulum

1.5 =2\times 3.14 \sqrt{\frac{L}{9.8}}

0.057= {\frac{L}{9.8}}

L = 0.56 m

Thus, the length of the pendulum is 0.56 m .

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A mass of 0.8 kg is fixed at a vertical spring with an unknown spring constant. When spring is released from rest, it extends to
Delicious77 [7]

Answer:

1) k = 52 N/m

2) E = 1.0 J

3) ω = 8.1 rad/s

4) v = 1.4 m/s

Though asked for a velocity, we can only supply magnitude (speed) because we don't have enough information to determine direction.

If it happens to be the first time it is at y = - 10 cm after release, the velocity is upward.

Explanation:

Assuming the initial setup is after all transients are eliminated.

kx = mg

k = mg/x = 0.8(9.8) / 0.15

k = 52.26666.... ≈ 52 N/m

E = ½kA² = ½(52)(0.20²) = 1.045333... ≈ 1.0 J

ω = √(k/m) = √(52 / 0.8) = 8.0829... ≈ 8.1 rad/s

½mv² = ½kA² - ½kx²

v = √(k(A² - x²)/m) = √(52(0.20² - 0.10²)/0.8) = 1.39999... ≈ 1.4 m/s

4 0
3 years ago
Calculate how far a ball will travel horizontally if the ball reaches a high of 1.5 m above the ground and is thrown at a horizo
nataly862011 [7]

67.5

hope this is right

6 0
3 years ago
If someone drops a cup, it falls to the ground. Why doesn't the gravitational force between the person's hand and the cup keep t
Genrish500 [490]

Answer:

The gravity from the person's hand is weaker than the gravity from the pull of the earth

Explanation:

The gravity from the person's hand is weaker than the gravity from the pull of the earth

5 0
3 years ago
Young's experiment is performed with light of wavelength 502 nm from excited helium atoms. Fringes are measured carefully on a s
PSYCHO15rus [73]

Answer:

Explanation:

wave length of light λ = 502 nm

screen distance D = 1.2 m

width of one fringe = 10.2 mm / 20

= .51 mm

fringe width = λ D / a  , a is separation of slits

Puting the values given

.51 x 10⁻³ =  502 x 10⁻⁹ x 1.2 / a

a = 502 x 10⁻⁹ x 1.2 / .51 x 10⁻³

= 1181.17 x 10⁻⁶ m

1.18 x 10⁻³ m

= 1.18 mm .

8 0
3 years ago
Acceleration is always measured in meters per second squared. Why is acceleration not measured in meters per second like speed?
Taya2010 [7]

Answer:

Because 'distance per second' is a velocity, not an acceleration.

Explanation:

Because 'distance per second' is a velocity, not an acceleration. For example, at 1 m/s an object is travelling a distance of 1 metre every second. But a rate of acceleration is a steady increase in velocity. So at 1 m/s^2, an object's velocity is increasing by 1 m/s every second.

6 0
3 years ago
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