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3 years ago

A car traveling at 34 m/s starts to decelerate steadily. It comes to a complete stop in 6 seconds. What is its acceleration?

1 answer:

swat323 years ago

3 0

The acceleration of the object described above is calculated by dividing the given initial velocity by the time it took for it to completely stop. That is,

a = Vi / t

Substituting the known values,

a = (34 m/s) / 6 s = 5.67 m/s²

The answer to this item is -5.67 m/s² because the motion of the object is that it is coming to a full stop from high velocity motion.

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The distance between two consecutive points in a wave is called the wavelength.

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The fast train known as the TGV (Train à Grande Vitesse) that runs south from Paris, France, has a scheduled average speed of 21

andrezito [222]

Answer:

Explanation:

Given

average speed of train $(v_{avg})=216 kmph\approx 60 m/s$

Maximum acceleration=0.05g

Now centripetal acceleration is

$a_c=\frac{v^2}{r}$

$0.05\times 9.8=\frac{60^2}{r}$

r=7346.93 m

(b)Radius of curvature=900 m

therefore $a_c=\frac{v^2}{r}$

$v=\sqrt{a_cr}$

$v=\sqrt{0.05\times 9.8\times 900}$

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3 years ago

A tennis ball connected to a string is spun around in a vertical, circular path at a uniform speed. The ball has a mass m = 0.15

Oksanka [162]

1) 5.5 N

When the ball is at the bottom of the circle, the equation of the forces is the following:

$T-mg = m\frac{v^2}{R}$

where

T is the tension in the string, which points upward

mg is the weight of the string, which points downward, with

m = 0.158 kg being the mass of the ball

g = 9.8 m/s^2 being the acceleration due to gravity

$m \frac{v^2}{R}$ is the centripetal force, which points upward, with

v = 5.22 m/s being the speed of the ball

R = 1.1 m being the radius of the circular trajectory

Substituting numbers and re-arranging the formula, we find T:

$T=mg+m\frac{v^2}{R}=(0.158 kg)(9.8 m/s^2)+(0.158 kg)\frac{(5.22 m/s)^2}{1.1 m}=5.5 N$

2) 3.9 N

When the ball is at the side of the circle, the only force acting along the centripetal direction is the tension in the string, therefore the equation of the forces becomes:

$T=m\frac{v^2}{R}$

And by substituting the numerical values, we find

$T=(0.158 kg)\frac{(5.22 m/s)^2}{1.1 m}=3.9 N$

3) 2.3 N

When the ball is at the top of the circle, both the tension and the weight of the ball point downward, in the same direction of the centripetal force. Therefore, the equation of the force is

$T+mg=m\frac{v^2}{R}$

And substituting the numerical values and re-arranging it, we find

$T=m\frac{v^2}{R}-mg=(0.158 kg)\frac{5.22 m/s)^2}{1.1 m}-(0.158 kg)(9.8 m/s^2)=2.3 N$

4) 3.3 m/s

The minimum velocity for the ball to keep the circular motion occurs when the centripetal force is equal to the weight of the ball, and the tension in the string is zero; therefore:

$T=0\\mg = m\frac{v^2}{R}$

and re-arranging the equation, we find

$v=\sqrt{gR}=\sqrt{(9.8 m/s^2)(1.1 m)}=3.3 m/s$

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3 years ago

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What do you mean? I'm confused... You need to put the rest of the question

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Usimov [2.4K]

Answer:

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The steps that lead you from dependence to independence are referred to as the stairway to Lifetime Fitness, Health, and Wellness.

This ultimately implies that, these stairway or steps are very important and essential for all humans who seek Lifetime Fitness, Health, and Wellness.

A good health can be defined as the state of well-being (wellness) in which all of the components of an individual's health are balanced. These state of wellness comprises of six (6) important components and they are;

1. Physical: this is a measure of the state of an individual's body or the way the body functions. It is enhanced by eating right, working out or exercising, avoiding drugs and alcohol, maintaining a good body mass index etc.

2. Emotional: this deals with the state of an individual's mind being void of worries, negativity etc.

3. Social: this involves keeping a good relationship with friends, family and many others around.

4. Environmental: it deals with maintaining a hygienic surrounding, that is devoid of pollutants.

5. Mental or intellectual: avoiding unnecessary stress and anxiety while dealing or coping with the realities of life.

6. Spiritual: it encompasses belief systems, values, ideals, morality etc.

Hence, when an individual is able to balance all of these above mentioned components, then he or she is said to be healthy.

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3 years ago