Normal atmospheric pressure at sea level is ?

One end of a string is fixed. An object attached to the other end moves on a horizontal plane with uniform circular motion of ra

sveticcg [70]

Answer:

If both the radius and frequency are doubled, then the tension is increased 8 times.

Explanation:

The radial acceleration ( $a_{r}$ ), measured in meters per square second, experimented by the moving end of the string is determined by the following kinematic formula:

$a_{r} = 4\pi^{2}\cdot f^{2}\cdot R$ (1)

Where:

$f$ - Frequency, measured in hertz.

$R$ - Radius of rotation, measured in meters.

From Second Newton's Law, the centripetal acceleration is due to the existence of tension ( $T$ ), measured in newtons, through the string, then we derive the following model:

$\Sigma F = T = m\cdot a_{r}$ (2)

Where $m$ is the mass of the object, measured in kilograms.

By applying (1) in (2), we have the following formula:

$T = 4\pi^{2}\cdot m\cdot f^{2}\cdot R$ (3)

From where we conclude that tension is directly proportional to the radius and the square of frequency. Then, if radius and frequency are doubled, then the ratio between tensions is:

$\frac{T_{2}}{T_{1}} = \left(\frac{f_{2}}{f_{1}} \right)^{2}\cdot \left(\frac{R_{2}}{R_{1}} \right)$ (4)

$\frac{T_{2}}{T_{1}} = 4\cdot 2$

$\frac{T_{2}}{T_{1}} = 8$

If both the radius and frequency are doubled, then the tension is increased 8 times.

5 0

3 years ago

On a spring scale that measures force, a reading shows the force of an object to be about half way between 0 N and 1 N. Which of

deff fn [24]

0.49 N
On a spring scale that measures force, a reading shows the force of an object to be about half way between 0 N and 1 N. 0. 49 Newton is the most accurate measurement for the force. If we cluster the number values of 0 N to 1 N It would be 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0 N. These numbers indicate the micro intervals of 0-1. It cannot be the other given because the other values are either higher or lower which exceeds the 0-1 scale. Observe.

7 0

4 years ago

A cold coke bottle is on the pan of a balance and is left open. What happens to its weight?

Arlecino [84]

Answer:

It's weight would decrease over time.

Explanation:

The cold coke is going to stabilise in the room temperature. This causes the coke to heat up to room temperature. When the coke heats up, some molecules acquire enough kinetic energy that the evaporate. The evaporation of the molecules causes a decrease in weight.

Hope it helped!

3 0

3 years ago

Read 2 more answers

Let’s say you have a cart of some mass and when pushed with 10N of force, the cart accelerates at 5.0 m/s/s. If you were to push

Korolek [52]

Answer:

a. The acceleration would increase.

Explanation:

because we know that

F=ma

m= mass and a= acceleration

so Mass is same for the cart in any situation that's why only acceleration could increase.

7 0

3 years ago

Read 2 more answers

7. A 30.0-g rifle bullet traveling 185 m/s embeds itself in a 3.15-kg pendulum hanging on a 2.85-m-long string, which makes the

EastWind [94]

Answer:

Explanation:

c )

First of all we shall calculate the velocity of bullet just after the collision with the pendulum by applying conservation of momentum law.

v₂ = mv₁ / ( m + M )

v₂ is velocity after the collision , m is mass of bullet v₁ is velocity of bullet and M is mass of pendulum.

v₂ = .030 x 185 / 3.18

= 1.745 m /s

Let the angle of the pendulum’s maximum displacement with the vertical be θ

height attained by the pendulum h = L ( 1 - cosθ) ; L is the length of the string.

Applying conservation of mechanical energy law

mgh = 1/2 m v₂²

m is mass of (bullet+ pendulum) , v₂ is its velocity

g L ( 1 - cosθ) = v₂² / 2

9.8 x 2.85 ( 1 - cosθ) = 1.745² / 2

( 1 - cosθ) = .0545

cosθ = .9455

θ = 19 degree

a ) The vertical component of the pendulum’s maximum displacement.

L ( 1 - cosθ)

= 2.85 ( 1 - .9455

= .155 m

b ) Horizontal component : L sin18

= 3.15 x .30

= .97 m .

5 0

3 years ago