26 days ago

A rectangular object was found to have a mass of 1.278 kg and density of 4.98 g/cm3. Suppose that you knew that the length was

47 mm and the width was 61 mm. Using this information, compute the height of the rectangle in cm.

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A solid metal sphere of diameter D is spinning in a gravity-free region of space with an angular velocity of ωi. The sphere is s

ValentinkaMS [3465]

Answer:

0.6

Explanation:

The formula for the volume of a sphere is $\frac{4}{3} \pi (\frac{D}{2})^3$

Thus $\pi * r^2 * (\frac{D}{2} ) = \frac{4}{3} \pi (\frac{D}{2})^3$

The radius of the disk is $1.15(\frac{ D}{2} )$

Applying angular momentum conservation;

The $M_i$ of the sphere = $\frac{2}{5} m \frac{D}{2}^2$

$M_i$ of the disk = $m*\frac{ \frac{1.15*D}{2}^2 }{2}$

$\frac{wd}{ws} = \frac{\frac{2}{5}m * \frac{D}{2}^2}{ m * \frac{(\frac{`.`5*D}{2})^2 }{2} }$

= 0.6

5 0

3 months ago

In the ENGR 10 lab (E391), there are 50 long light bulbs (P=100 W) and 30 regular bulbs (P=60 W). How much energy is consumed li

Ostrovityanka [3204]

Answer:

The total energy saving achieved will be 0.8 KWH

Explanation:

It is provided that there are 50 long light bulbs rated at 100 W, thus the total power consumed by 50 bulbs equals 100×50 = 5000 W = 5 KW

Additionally, 30 bulbs are rated at 60 W

Consequently, the total power consumption of 30 bulbs is 30×60 = 1800 W = 1.8 KW

The cumulative power of all 80 bulbs is 1.8 + 5 = 6.8 KW

Considering the operation time of 3 hours

We know that energy $E=power\times time=6.8\times 3=20.4KWH$

Now, the power consumption per CFL bulb equals 25 W

Thus for 80 bulbs, power equals 80×25 = 2000 W = 2 KW

So the energy for 80 bulbs amounts to 2×3 = 6 KWH

Hence, the overall energy saving is 6.8 - 6 = 0.8 KWH

6 0

2 months ago

A moving roller coaster speeds up with constant acceleration for 2.3\,\text{s}2.3s2, point, 3, start text, s, end text until it

kicyunya [3294]

Answer:

Δx=(v+v0/2)t

Explanation:

We can determine which kinematic equation to apply by selecting the one that encompasses the known variables as well as the unknown we aim to solve for.

In this scenario, the unknown we wish to determine is the initial velocity v_0v

v, start subscript, 0, end subscript of the roller coaster.

7 0

2 months ago