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4 years ago

What is the force applied by a spring as it stretches upward 0.25 meters and has a k value of 25 newtons per meter

1 answer:

8 0

To determine the force, we use the Hooke's Law which says that the force required to extend or compress a certain spring is proportional directly to the total change in distance. It is expressed as:

F = kx where k is the spring constant and x is the distance

We calculate as follows:

F = 25 (0.25)
F = 6.25 N

Therefore, the correct answer is option 3, 6.3 N.

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A rocket car is developed to break the land speed record along a salt flat in Utah. However, the safety of the driver must be co

Naddika [18.5K]

Answer:

a = 45 m/s/s

Explanation:

As we know that total mass of the rocket is

$M = 6000 kg$

total mass of the fuel is given as

$m = 2000 kg$

all the fuel is burnt in 15 s

so rate of the fuel burning is given as

$\frac{dm}{dt} = \frac{2000}{15}$

$\frac{dm}{dt} = 133.33 kg/s$

now the thrust force on the rocket is given as

$F_{th} = v\frac{dm}{dt}$

$(6000 - 133.33 t) a = (900 + v)(133.33)$

so we have

$\frac{dv}{900 + v} = (133.33)\frac{dt}{6000 - 133.33 t}$

so we have

$ln(\frac{900 + v}{900}) = - ln(\frac{6000 - 133.3 t}{6000})$

$1 + \frac{v}{900} = \frac{6000}{6000 - 133.3 t}$

now acceleration is rate of change in velocity

$\frac{1}{900}\frac{dv}{dt} = \frac{133.3\times 6000}{(6000 - 133.3t)^2}$

so acceleration at t = 15 s

$a = 45 m/s^2$

3 0

4 years ago

If element X has 96 protons, how many electrons does it have

NNADVOKAT [17]

It would have 96 because protons equal electrons

3 0

3 years ago

Please select the word from the list that best fits the definition

vagabundo [1.1K]

Answer:input work

Explanation:

7 0

3 years ago

Read 2 more answers

A cartridge electrical heater is shaped as a cylinder of length L = 200 mm and outer diameter D = 20 mm. Under normal operating

KengaRu [80]

Answer:

Ts=51.83C

Explanation:

First we calculate the surface area of the cylinder, neglecting the top and bottom covers as indicated by the question

Cilinder Area= A=πDL

L=200mm=0.2m

D=20mm=0.02m

A=π(0.02m)(0.2m)=0.012566m^2

we use the equation for heat transfer by convection

q=ha(Ts-T)

q= heat=2Kw=2000W

A=Area=0.012566m^2

Ts=surface temperature

T=water temperature=20C

Solving for ts

Ts=q/(ha)+T

Ts=2000/(5000*0.012566m^2)+20=51.83C

4 0

3 years ago

In a double-slit experiment, light and dark regions are observed on a screen. what causes a dark region to be observed between t

Colt1911 [192]

According to a source, fringes is the answer. These fringes are what causes dark regions in the double -slit experiment conducted that can be observed in the screen.
Thank you for your question. Please don't hesitate to ask in Brainly your queries.

7 0

3 years ago