All categories

2 years ago

Find the center of mass of a one-meter long rod, made of 50 cm of iron (density 8gcm3) and 50 cm of aluminum (density 2.7gcm3).

1 answer:

4 0

The center of the mass of a one-meter long rod, made of 50 cm of iron (density 8gcm3) and 50 cm of aluminum (density 2.7gcm3) is 37.62(cm)

<h3>Calculations and Parameters</h3>

λ Fe =8g/cm,λ Al =2.7g/cm

There is a metal rod 1 meter long, with the first 50cm being iron and the other 50cm aluminum. the problem is solved in a one-dimensional case meaning it's a thin rod.

Next, we would solve by definition of the center of mass

We would also note that the masses of iron and aluminum are just the product of their length and linear density.

$X_C_M$ = $\frac{8(g/cm). \frac{2500(cm^2)}{2} + 2.7 (g/cm). \frac{7500(cm^2)}{2} }{8(g/cm).50(cm) + 2.7(g/cm). 50 (cm)}$

= 37.62(cm)

Read more about center of mass here:

brainly.com/question/13499822

#SPJ1

You might be interested in

If the wavelength of a 4.65 ✕ 102 Hz sound in freshwater is 3.45 m, what is the speed of sound in fresh water?

natima [27]

Answer:

Explanation:

Given that, the wavelength is 3.45m

λ=3.45m

Frequency is 4.65×10^2Hz

F=4.65×10^2Hz

Speed is given as

V=Fλ

Then,

V=4.65×10^2× 3.45

V=1604.25m/s

The speed of sound in fresh water is 1604.25m/s

8 0

3 years ago

Read 2 more answers

8. What is the rate of change in an object’s position?

adelina 88 [10]

A similar but separate notion is that of velocity, which the rate of change<span> of </span>position<span>. Example . If p(t) is the </span>position<span> of an </span>object<span> moving on a number line at time t (measured in minutes, say), then the average </span>rate of change<span> of p(t) is the average velocity of the </span>object<span>, measured in units per minute.</span>

4 0

3 years ago

Read 2 more answers

kap26 [50]

The increase in temperature that will result if 225.0 g of copper absorbs 5000 J of heat energy is 57.72°C.

<h3>How to calculate temperature change?</h3>

The temperature change of a substance can be calculated using the following formula:

Q = m × c × ∆T

Where;

Q = quantity of heat absorbed or released
m = mass of substance
c = specific heat capacity
∆T = change in temperature

5000 = 225 × 0.385 × ∆T

5000 = 86.63∆T

∆T = 5000/86.63

∆T = 57.72°C

Therefore, the increase in temperature that will result if 225.0 g of copper absorbs 5000 J of heat energy is 57.72°C.

Learn more about temperature change at: brainly.com/question/11464844

#SPJ1

3 0

2 years ago

The coefficients of friction between the load and the flatbed trailershown are μs = 0.40 and μk = 0.30. Knowing that the speed o

SOVA2 [1]

Answer:

50.97 m

Explanation:

m = Mass of truck

$\mu_s$ = Coefficient of static friction = 0.4

v = Final velocity = 0

u = Initial velocity = 72 km/h = $\dfrac{72}{3.6}=20\ \text{m/s}$

s = Displacement

Force applied

$F=ma$

Frictional force

$f=\mu_s mg$

Now these forces act opposite to each other so are equal. This is valid for the case when the load does not slide

$ma=\mu_s mg\\\Rightarrow a=\mu_s g\\\Rightarrow a=0.4\times 9.81\\\Rightarrow a=3.924\ \text{m/s}^2$

Since the obect will be decelerating the acceleration will be $-3.924\ \text{m/s}^2$

From the kinematic equations we have

$v^2-u^2=2as\\\Rightarrow s=\dfrac{v^2-u^2}{2a}\\\Rightarrow s=\dfrac{0^2-20^2}{2\times -3.924}\\\Rightarrow s=50.97\ \text{m}$

So, the minimum distance at which the car will stop without making the load shift is 50.97 m.

5 0

3 years ago

45 POINTS!!!!

gtnhenbr [62]

The theoretic volume and pressure of a gas at zero Kelvin are zero. Moreover, there is zero kinetic energy present in the gas. This is because at zero Kelvin, none of the particles are moving.

5 0

3 years ago