All categories

2 years ago

If a block is in equilibrium the magnitude of the block's acceleration is

Physics

2 answers:

kaheart [24]2 years ago

3 0

zero.

from newton's first law of motion

Nostrana [21]2 years ago

3 0

Answer:

zero.

Explanation:

The condition for an object to be in equilibrium is that there is no resulting force acting on it, in other words, that the force on the object is zero:

$F=0$

and by Newton's second law we know that

$F=ma$

where $m$ is the mass of the object, and $a$ its acceleration.

So combining the two things:

$F=ma=0$

⇒ $ma=0$ , This equation is fulfilled when $a=0$

Wich tells us that for the the block to be in equilibrium, the acceleration must be zero:

$a=0$

You might be interested in

An empty oﬃce chair is at rest on a ﬂoor. Consider the following forces:. 1. A downward force due to gravity;. 2. An upward forc

Bumek [7]

4. 1 and 2 only.

1. the downward force is the force of gravity.

<span>2. The upward force exerted is the Normal reaction from the floor.</span>

8 0

2 years ago

A 10 kg migratory swan cruises at 20m/s. A calculation that takes into ac-count the necessary forces shows that this motion requ

IgorC [24]

Answer:

Part A:

Distance=864000 m=864 km

Part B:

Energy Used=ΔE=8638000 Joules

Part C:

$\frac{\triangle m}{m}=0.004998=0.49985\%$

Explanation:

Given Data:

v=20m/s

Time =t=12 hours

In Secs:

Time=12*60*60=43200 secs

Solution:

Part A:

Distance = Speed**Time

Distance=v*t

Distance= 20*43200

Distance=864000 m=864 km

Part B:

Energy Used=ΔE= Energy Required-Kinetic Energy of swans

Energy Required to move= Power Required*time

Energy Required to move=200*43200=8640000 Joules

Kinetic Energy= $\frac{1}{2}mv^2$

$K.E\ of\ Swans=\frac{1}{2} *10*(20)^2=2000\ Joules$

Energy Used=ΔE=8640000 -2000

Energy Used=ΔE=8638000 Joules

Part C:

Fraction of Mass used=Δm/m

For This first calculate fraction of energy used:

Fraction of energy=ΔE/Energy required to move

ΔE is calculated in part B

Fraction of energy=8638000/8640000

Fraction of energy=0.99977

Kinetic Energy= $\frac{1}{2}mv^2$

Now, the relation between energies ratio and masses is:

$\frac{\triangle E}{E}=\frac{\triangle m}{2m}v^2$

$\frac{\triangle m}{m}=\frac{2}{v^2} *\frac{\triangle E}{E}\\\frac{\triangle m}{m}=\frac{2}{20^2} *0.99977$

$\frac{\triangle m}{m}=0.004998=0.49985\%$

3 0

3 years ago

Give three examples from your life of magnetic force.

Margaret [11]

Headphones, refrigerator magnets, and compasses

Hope that was helpful.

4 0

3 years ago

Read 2 more answers

Why must Islamic believers travel to Mecca once during their lives?

GaryK [48]

Answer:

The islamic believers travel to mecca once during their lives because they perform Hajj ( Pilgrimage) which is one of the pilar of the islam.

Explanation:

First of all it is very important to know what is the Islam.

The Islam is an Abrahamic monotheistic religion teaching that there is only one god ( Allah) .

It is the world's second-largest religion with over 1.8 billion followers or 24 % of the world's population. By the other hand the mecca is the holiest of muslim city.

5 0

2 years ago

Two racecars are driving at constant speeds around a circular track. Both cars are the same distance away from the center of the

Alenkasestr [34]

Answer:

The acceleration of car 2 is four times of the acceleration of car 1.

Explanation:

The centripetal acceleration of the object is possessed when it moves in a circular path. It is given by :

$a=\dfrac{v^2}{r}$

In this case, two race cars are driving at constant speeds around a circular track. Both cars are the same distance away from the center of the track, but car 2 is driving twice as fast as car 1.

So,

$\dfrac{a_1}{a_2}=\dfrac{v_1^2}{v_2^2}$

1 and 2 represent car 1 and car 2 respectively.

$v_2=2v_1$

So,

$\dfrac{a_1}{a_2}=\dfrac{v_1^2}{(2v_1)^2}\\\\\dfrac{a_1}{a_2}=\dfrac{v_1^2}{4v_1^2}\\\\\dfrac{a_1}{a_2}=\dfrac{1}{4}\\\\a_2=4\times a_1$

So, the acceleration of car 2 is four times of the acceleration of car 1.

4 0

3 years ago