A student is pushing a box across the room. To push the box three times farther, the student needs to do how much work?

Consider two massless springs connected in parallel. Springs 1 and 2 have spring constants k1 and k2 and are connected via a thi

77julia77 [94]

Answer:

k1 + k2

Explanation:

Spring 1 has spring constant k1

Spring 2 has spring constant k2

After being applied by the same force, it is clearly mentioned that spring are extended by the same amount i.e. extension of spring 1 is equal to extension of spring 2.

x1 = x2

Since the force exerted to each spring might be different, let's assume F1 for spring 1 and F2 for spring 2. Hence the equations of spring constant for both springs are

k1 = F1/x -> F1 =k1*x

k2 = F2/x -> F2 =k2*x

While F = F1 + F2

Substitute equation of F1 and F2 into the equation of sum of forces

F = F1 + F2

F = k1*x + k2*x

= x(k1 + k2)

Note that this is applicable because both spring have the same extension of x (I repeat, EXTENTION, not length of the spring)

Considering the general equation of spring forces (Hooke's Law) F = kx,

The effective spring constant for the system is k1 + k2

3 0

2 years ago

What factor about the planets caused you to weigh more or less?

ad-work [718]

usually gravity is what causes us to make us weigh more or less depending on which planet we are on

7 0

2 years ago

Joanna wants to determine the speed of sound in xenon. When she plays a tone with a frequency of 440 Hz, the resulting sound wav

iVinArrow [24]

The speed of the sound in the xenon is 178 m/s. And the right option is b 178 m/s

<h3 /><h3>What is speed?</h3>

Speed can be defined as the ratio of the total distance traveled by a body to the total time taken.

To calculate the speed of the sound in the xenon, we use the formula below.

Formula:

v = λf............. Equation 1

Where:

v = Speed of the sound in xenon
f = Frequency
λ = Wavelength.

From the question,

Given:

f = 440 Hz
λ = 40.4 cm = 0.404 m

Substitute the values above into equation 1

v = 440(0.404)
v = 177.76 m/s.
v ≈ 178 m/s

Hence, The speed of the sound in the xenon is 178 m/s. And the right option is b 178 m/s

Learn more about speed here: brainly.com/question/4931057

7 0

2 years ago

What is the resistance of a bulb of 4ow<br>connected in a line of 220v?<br>2

inn [45]

Answer:

1210 ohm

Explanation:

Given :

P=40 W

V=220 V

Now,

$P=\frac{V^{2} }{R} \\40=\frac{(220)^{2} }{R} \\40R=48400\\R=\frac{48400}{40} \\R=1210 ohm$

Therefore, resistance of bulb will be 1210 ohm

8 0

2 years ago

it takes a hose 4 minutes to fill a rectangular aquarium 9 inches long, 13 inces wide, and 14 inces tall. how long will it take

Studentka2010 [4]

Answer: 43.58 min

Explanation:

Knowing the volume of a rectangular object is length x width x height, we have two volumes:

$V_{1}=(9 in)(13 in)(14 in)=1638 in^{3}$

$V_{2}=(21 in)(25 in)(34 in)=17850 in^{3}$

And we know it takes a time of 4 minutes to fill $V_{1}$ .

If we want to know how long will it take the same hose to fill another tank with volume $V_{2}$ , we can use the <u>Rule of three</u>, which is a mathematical rule to find out an amount that is with another quantity given in the same relation as other two also known:

$1638in^{3}$ ---- $4min$

$17850in^{3}$ ---- $?$

$?=\frac{(17850 in^{3})(4min)}{1638 in^{3}}$

Finally:

$?=43.58 min$

4 0

3 years ago