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3 years ago

If you had two springs supporting the toy side by side, how would the extension and elastic potential energy be affected?

Physics

1 answer:

IrinaK [193]3 years ago

4 0

Answer:

The amount of elastic potential energy stored in a stretched spring can be calculated using the equation: elastic potential energy = 0.5 × spring constant × (extension) Ee = 1/2 k e.

Explanation:

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What is a compound formed in protein metabolism and present in much living tissue?

Mamont248 [21]

Answer:

Creatine

It is the compound, formed in protein metabolism and present in much living tissue. It is involved in the supply of energy for muscular contraction.

Creatine improves the strength and increase the lean muscle mass to help the muscles recover more quickly during exercise.

Creatine helps muscle cells to produce more energy. In high intensity exercise, its primary role is to increase the phosphocreatine stores in the muscles.

Creatine is also nitrogenous organic acid that helps in supply of energy in the body. It occurs naturally in meat and fish. It is made by the body. It also obtained by the supplements.

5 0

3 years ago

an airplane maintains a speed of 567 km/h relative to the air it is flying through as it makes a tripto a city 780 km away to th

Vera_Pavlovna [14]

A ) v = 567 - 33 = 534 km/h
v = d / t ⇒ t = d / v
t = 780 km / 534 km/h = 1.46 h
b ) v = 567 + 33 = 600 km/h
t = 780 km / 600 km/h = 1.3 h
c ) v = (567² +33²) ^(1/2) = √320,400 = 566 km/h
t = 780 km/ 566 km/h = 1.378 h

4 0

3 years ago

Suppose that the time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with λ

Reptile [31]

Answer:

1. 0.0498

2. 0.8775

Explanation:

Let X represent the time of failures (in hours) of PC fans

From the question, X is exponentially distributed with the parameter λ = 0.0003

Also, it's to be noted that X is a continuous random variable

The probability distribution function of X is f(x) = λe^-(λx) for x >= 0

To solve this, we need to get the CDF (cumulative distribution function) of the above PDF

CDF

The CDF is simply the integration (integral calculus) of the PDF

Let F(x) represent the CDF

1. What proportion of the fans will last at least 10,000 hours

F(x) = 1 - e^-(λx) for x>=0

For x = at least 10000 hours and λ = 0.0003 -------- The keyword here is at least

Because P(True) + P(False) = 1 ----------- (Probability of true + Probability of false = 1),

We have

F(x>= 10000) = 1 - F(x<= 10000) -------- Notice the change in the inequality sign

This then equates to

F(x>=10000) = 1 - (1 - e^-(λx)) ---------- Open the bracket

F(x>=10000) = 1 - 1 + e^-(λx)

F(x>=10000) = e^-(λx)

F(x>=10000) = e^-(0.0003 * 10000)

F(x>=10000) = e^-(3)

F(x>=10000) = 0.049787068367863

F(x>=10000) = 0.0498 ---------- Approximated

2. What is the proportion of the fans will last at most 7000 hours

X = at most 7000 and λ = 0.0003

The keyword here is at most, so we make use of

F(x) = 1 - e^-(λx) for x>=0

F(x<=7000) = 1 - e^-(λx)

F(x<=7000) = 1 - e^-(0.0003 * 7000)

F(x<=7000) = 1 - e^-(2.1)

F(x<=7000) = 1 - 0.122456428252981

F(x<=7000) = 0.877543571747018

F(x<=7000) = 0.8775 ---------- Approximated

5 0

4 years ago

You connect a 100-resistor, a 800-mH inductor, and a 10.0-uF capacitor in series across a 60.0-Hz, 120-V (peak) source. The impe

steposvetlana [31]

Answer:

Impedance, Z = 107 ohms

Explanation:

It is given that,

Resistance, R = 100 ohms

Inductance, $L=800\ mH=800\times 10^{-3}\ H=0.8\ H$

Capacitance, $C=10\ \mu F=10\times 10^{-6}\ F=10^{-5}\ F$

Frequency, f = 60 Hz

Voltage, V = 120 V

The impedance of the circuit is given by :

$Z=\sqrt{R^2+(X_C-X_L)^2}$ ...........(1)

Where

$X_C$ is the capacitive reactance, $X_C=\dfrac{1}{2\pi fC}$

$X_C=\dfrac{1}{2\pi \times 60\times 10^{-5}}=265.65\ \Omega$

$X_L$ is the inductive reactance, $X_L={2\pi fL}$

$X_L={2\pi \times 60\times 0.8}=301.59\ \Omega$

So, equation (1) becomes :

$Z=\sqrt{(100)^2+(265.65-301.59)^2}$

Z = 106.26 ohms

Z = 107 ohms

So, the impedance of the circuit is 107 ohms. Hence, this is the required solution.

8 0

4 years ago

The cheetah, the fastest of land animals, can run a distance of 274 m in 8.65 s at its top speed. What is the cheetahs tips spee

ycow [4]

Answer:

Top speed is 31.68 m/s

Explanation:

Speed of a body is the distance traveled by the body in unit time.

Speed is generally expressed in meter per second or kilometer per hour.

Here, the cheetah travels a distance of 274 m in 8.65 s.

Therefore, speed of cheetah is the distance traveled by it in one second.

For 8.65 s, distance traveled is 274 m

For 1 s, distance traveled will be $\frac{274}{8.65}$ meters per second. This value is called speed.

So, speed is given as the ratio of the distance traveled to that of the time taken.

∴ Top speed of cheetah is given as:

$v_{max}=\frac{274}{8.65}=31.68 \textrm{ m/s}$

Here, $v_{max}$ is the top speed of cheetah.

7 0

4 years ago