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1 month ago

Why does lifting one end of the track lead to constant acceleration?

1 answer:

7 0

We installed a motion detector at one end of the track and placed a cart on it. We then attached a motorized fan to the cart, allowing it to propel the cart down the track. This aligns with my expectations based on the velocity graph, where the slope represents acceleration, which remains consistent over time.

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A skateboarder is attempting to make a circular arc of radius r = 16 m in a parking lot. The total mass of the skateboard and sk

kicyunya [3294]

To address this question, we will utilize concepts linked to centripetal force, aligning it with the static frictional force acting on the object. Using this relationship, we can derive the velocity and input the known values. The defined values are:

$r = 16m$

$m = 82kg$

$\mu_s = 0.63$

The maximum velocity can be determined using centripetal force,

$F_c = \frac{mv^2}{r}$

Should be equal to,

$\frac{mv^2}{r} = \mu_s mg$

$v = \sqrt{\mu_s gr}$

$v = \sqrt{(0.63)(9.8)(16)}$

$v = 9.93m/s$

As a result, the highest speed achievable through the arc without slipping is 9.93m/s

3 0

2 months ago

Write a hypothesis about the effect of increasing voltage on the current in the circuit. Use the "if . . . then . . . because .

Yuliya22 [3333]

Hypothesis: An increase in voltage should result in a corresponding rise in current because according to Ohm's Law,

$I \propto V$

$I=\frac{V}{R}$

Ohm's Law indicates that current is proportional to voltage when resistance remains constant. Hence, if resistance stays the same, elevating the voltage will lead to an increase in current. Conversely, if voltage remains unchanged and resistance increases, current will decrease.

3 0

2 months ago

Read 2 more answers

Sarah wants to know which brand of nail polish lasts the longest without chipping.She buys 4 types of nail polish - Essie (which

Keith_Richards [3271]

1. Independent variable: the variable that can be modified and regulated.
the nail polish on Sarah's nails
2. Dependent variable: outcomes that result from the changes in the independent variable.
the duration of the nail polish's longevity
3. Hypothesis: Different brands of nail polish have varied durations before they chip.
 4. Control group: the independent variable remains unchanged in this setup, not subject to variations.
 the schedule of when Sarah applies her nail polish (Sarah colors her nails every Sunday for a month)
the specific base coat and top coat (she applies the same bottom coat and top coat with every kind of nail polish)
weekly habits (she ensures the same routine each week so her nails are not treated more harshly on some weeks).
 Experimental group: the independent variable is altered for this group
type of nail polish (Essie, OPI, and Sally Hansen)
 6. Constants: the experimenter (Sally), duration of study (one week), her weekly routine, base coat and top coat,

3 0

1 month ago

An astronomer observes that the wavelength of light from a distant star is shifted toward the red part of the visible spectrum.

Yuliya22 [3333]

Answer:

The separation between Earth and the star is growing.

Explanation:

When we witness the electromagnetic radiation of an object shifting towards the blue spectrum, it indicates that the object is moving closer, which compresses the light waves and decreases the wavelength towards blue, referred to as blueshift.

Conversely, when an object retreats from us rapidly, its light waves are stretched, resulting in a longer wavelength that shifts towards the red part of the spectrum. This shift is termed redshift.

The alteration of wavelength and frequency due to relative motion (approaching or receding) is explained by the Doppler effect.

In this case, since the light we detect from the star has transitioned to the red part of the spectrum, we can infer that it is moving away from Earth, indicating that the distance between the star and Earth is increasing.

7 0

1 month ago

Five metal samples, with equal masses, are heated to 200oC. Each solid is dropped into a beaker containing 200 ml 15oC water. Wh

ValentinkaMS [3465]

Part 1) Which metal will cool the fastest?
To determine this, we need to consider the heat flow rate formula, which indicates the speed at which a substance can gain or lose heat:
$\frac{\Delta Q}{\Delta t} = -k \frac{A \Delta T}{x}$
where:
$\Delta Q$ denotes the heat exchanged
$\Delta t$ indicates the duration
k represents the thermal conductivity of the material
A is the area over which heat transfer takes place
$\Delta T$ shows the change in temperature
x is the thickness of the substance
It is evident that the heat flow rate $\frac{\Delta Q}{\Delta t}$ is directly related to k, the thermal conductivity. Thus, a higher value of k means that the metal will cool more quickly.
Upon examining the thermal conductivity values for each metal, we observe:
- Aluminium: 237 W/(mK)
- Copper: 401 W/(mK)
- Gold: 314 W/(mK)
- Platinum: 69 W/(mK)
Consequently, copper has the highest heat flow rate, making it the metal that cools the fastest.

Part 2) Which sample of copper demonstrates the greatest increase in temperature
To address this part, we can examine how the heat exchanged Q correlates with temperature increase $\Delta T$ :
$Q=m C_S \Delta T$
where m indicates the mass and Cs represents the specific heat capacity of the material. By rearranging the equation, we derive
$\Delta T= \frac{Q}{m C_s}$
As a result, it becomes clear that the temperature increase is inversely related to the mass m. Thus, the block exhibiting the highest temperature rise will be the one with the least mass, hence the right choice is A) 0.5 kg.

4 0

2 months ago