Which of the position versus time graphs below matches the following description: a speed versus time graph has a horizontal line at 5 m/s from zero to five seconds?

Answer:

Explanation:

Given:

F =20 N

D = 60 m

________

W - ?

W = F·D = 20·60 = 1 200 J

Answer:

Thread tension:

T = F + P = 9 108 + 21 120 ≈ 30 230 N

Explanation:

Given:

m = 2155 kg

R = 17.5 m

V = 8.6 m/s

g = 9.8 m/s²

_______________

T - ?

Modulus of centripetal force (force is directed towards the center of the circular arc):

[tex]F = \frac{m\cdot V^2}{R} = \frac{2155\cdot 8.6^2}{17.5} = 9108 N[/tex]

Ball weight (directed vertically down):

W = m·g = 2155·9.8 ≈ 21 120 N

Let's use the hint. Thread tension:

T = F + W = 9 108 + 21 120 ≈ 30 230 N

The tension in the cable at the lowest point of the swing is [tex]30248.196 N[/tex].

To determine the tension in the cable at the lowest point of the swing, we can use the hint provided:

[tex]T-mg=\frac{mv^{2}}{r}[/tex]

where T represents tension,

m is the mass of the demolition ball (2155 kg),

g is the acceleration due to gravity (approximately 9.8 m/s^2),

v is the velocity of the ball (8.6 m/s), and

r is the radius of the circular path (17.5 m).

Plugging in the given values, we have:

[tex]T-2155\times 9.81=\frac{2155\times 8.6^{2}}{17.5}[/tex]

[tex]T=30248.196 N[/tex]

Therefore, the tension in the cable at the lowest point of the swing is approximately [tex]30248.196 N[/tex].

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The fraction of the initial kinetic energy is transformed into thermal energy is 3/4.

What fraction of the initial kinetic energy is transformed into thermal energy?

The fraction of the initial kinetic energy is transformed into thermal energy is calculated by applying the principle of conservation of energy as shown below.

Mathematically, this is given as;

ΔK.E = E

where;

• ΔK.E is the change in kinetic energy
• E is the thermal energy

E = K.Ef - K.Ei

where;

• K.Ef is the final kinetic energy
• K.Ei is the initial kinetic energy

E = (¹/₂mu² - ¹/₂mv²) / (¹/₂mu²)

where;

• m is the mass of the baseball
• v is the final velocity of the baseball
• u is the initial velocity of the baseball

E = (u² - v²) / (u²)

E = (20² - 10²) / (20²)

E = 0.75 = 3/4

Thus, the fraction of the initial kinetic energy is transformed into thermal energy is a function of the change in speed of the baseball.

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Answer:................

Explanation:.............

The magnitude of acceleration of the crate be 7.14 m/s².

What is acceleration?

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Mass of the create be: m = 38kg.

Force applied on the create : F = 83N.

From Newton's second law of motion, we can write:

force = mass × acceleration

⇒ acceleration = force/mass = 38/83m/s² = 0.45 m/s².

Hence, acceleration of the create be 0.45 m/s².

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Answer:

Explanation:

T = 25 s

25 = 2*pi*sqrt(L/9.8)

L = 155.14 m

The period and frequency of the pendulum are equal to 2 sec and 0.5 Hz.

What is a simple pendulum?

A simple pendulum can be defined as a mechanical arrangement that possesses periodic motion. The simple pendulum is made of a bob having mass suspended by a thin string hung at its upper end of the length.

The simple pendulum moves freely back and forth in an oscillatory motion and the motion of the pendulum occurs in a vertical plane which is operated by the gravitational force.

The relationship between the time period and length of the pendulum is given by:

T = 2π√(L/g)

Where 'g' is the acceleration due to gravity  and  'L' is the length of the pendulum.

T = 1/f     where is the frequency of the pendulum.

Given, the length of a pendulum,  L = 1 m

Then the period of the pendulum can be calculated as:

[tex]T = 2\times 3.14 \sqrt{\frac{1}{9.8} }[/tex]

T = 2 s

The frequency of the pendulum, f = 1/T = 1/2 = 0.5 Hz

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Answer:

it would be 80 would it not

Explanation:

The 40 is just the angle to the normal ray. just multiply it by two giving you 80

The mass of the object is equal to 48 Kg if the net force is 60 N.

What is acceleration?

Acceleration can be defined as the rate at which the object changes its velocity with respect to time. The acceleration is a vector parameter and can be expressed as the second derivative of position w.r.t. time.

The force acting is equal to the multiplication of the mass and acceleration according to Newton's second law of motion.

F = ma

And, a = F/m

Given, the net force acting on an object, F = 60 N

The object is accelerating at a rate, a = 1.25 m/s²

The mass of the object can be calculated by using the given information:

m = F/a

m = 60/1.25

m = 48 Kg

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