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serious [3.7K]
3 years ago
10

you stop the stopwatch at 4.0 s, but you notice a short time later that the same ant is at 0.81 m on the meter stick. Assuming t

hat ant keeps going at the same velocity, how much time has passed since you stopped the stopwatch
Physics
1 answer:
telo118 [61]3 years ago
5 0

The time elapsed since you stopped the stopwatch is 0.41 s.

<em>Your question is not complete, it seems to be missing the following information;</em>

"The velocity of the ant is 2 m/s"

The given parameters;

  • velocity of the ant, v = 2 m/s
  • change in position of the ant, Δx = 0.81 m
  • initial time, t₁ = 4 s
  • time when the ant was noticed, = t₂

Velocity is defined as the change in displacement per change in time of motion of an object.

v = \frac{\Delta x}{\Delta t} = \frac{\Delta x}{t_2 - t_1} \\\\t_2 -t_1 = \frac{\Delta x}{v} \\\\t_2 - 4 = \frac{0.81}{2} \\\\t_2 - 4 = 0.405\\\\t_2 = 0.405 + 4\\\\t_2 = 4.405 \approx 4.41 \ s

The time elapsed since you stopped the stopwatch is calculated as;

t_{elapsed} = 4.41 \ s - 4\ s = 0.41 \ s

Thus, the time elapsed since you stopped the stopwatch is 0.41 s.

Learn more here: brainly.com/question/18153640

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5. George walks to a friend's house. He walks 750 meters North, then realizes he walked too far.
dedylja [7]

Answer:

Average speed: approximately 76.9\; {\rm m\cdot s^{-1}}.

Average velocity: approximately 38.5\; {\rm m \cdot s^{-1}} (to the north.)

Explanation:

Consider an object that travelled along a certain path. Distance travelled would be equal to the length of the entire path.

In contrast, the magnitude of displacement is equal to distance between where the object started and where it stopped.

In this question, the path George took required him to travel 750\; {\rm m} + 250\; {\rm m} = 1000\; {\rm m} in total. Hence, the distance George travelled would be 1000\; {\rm m}. However, since George stopped at a point (750\; {\rm m} - 250\; {\rm m}) = 500\; {\rm m} to the north of where he started, his displacement would be only 500\; {\rm m} to the north.

Divide total distance by total time to find the average speed.

Divide total displacement by total time to find average velocity.

The total time of travel in this question is 13\; {\rm s}.. Therefore:

\begin{aligned}\text{average speed} &= \frac{\text{total distance}}{\text{total time}} \\ &= \frac{1000\; {\rm m}}{13\; {\rm s}} \\ &\approx 76.9\; {\rm m\cdot s^{-1}}\end{aligned}.

\begin{aligned}\text{average velocity} &= \frac{\text{total displacement}}{\text{total time}} \\ &= \frac{500\; {\rm m}}{13\; {\rm s}} && \genfrac{}{}{0px}{}{(\text{to the north})}{}\\ &\approx 38.5\; {\rm m\cdot s^{-1}} && (\text{to the north})\end{aligned}.

3 0
1 year ago
It is friction that provides the force for a car to accelerate, so for high-performance cars the factor that limits acceleration
tekilochka [14]

Let the acceleration of the system is a and the time to reach 60 mph is t, so 

ax = (μs - μr) * g 
ax = (1.00-0.80) (9.8 m/s2) = 1.96 m/s2 
Then I used acceleration in this equation: 
vf = vi + ax * t 
60 mph = 0 mph + (1.96 m/s2) t 
t = (60 mph/1.96 m/s2)(0.447 m/s / 1 mph) 
t = 13.68 s

6 0
3 years ago
Read 2 more answers
An IGCSE student thinks it may be possible to identify different rocks (A, B and C) by measuring their
kherson [118]

Answer:

See the answer below

Explanation:

a. The volume in the first measuring cylinder reads 70 cm^3 while that of the second reads 95  cm^3. Hence;

V1 = 70  cm^3

V2 = 95  cm^3

b. <u>An object will always displace its own volume in a liquid</u>. Hence:

Volume V of the rock sample = V2 - V1

   = 95 - 70 = 25  cm^3

c. Mass of A = 102 g

   Volume of A = 25  cm^3

<em>Density = mass/volume</em>

Hence, density of A = 102/25 = 4.08 g/cm^3

8 0
3 years ago
Suppose that on a hot and sticky afternoon in the spring, a tornado passes over the high school. If the air pressure in the lab
forsale [732]

Answer:

232.9m³ (Option b. is the closest answer)

Explanation:

Given:

Air pressure in the lab before the storm, P₁ = 1.1atm

Air volume in the lab before the storm, V₁ = 180m³

Air pressure in the lab during the storm P₂ = 0.85atm

Air volume in the lab before the storm, V₂ = ?

Applying Boyle's law:    P₁V₁ = P₂V₂    (at constant temperature)

                          V_{2} = \frac{P_{1}V_{1}}{P_{2}}

                          V_{2} = \frac{1.1 * 180}{0.85}

                          V_{2} = \frac{198}{0.85}

                           V₂  = 232.9m³

The air volume in the laboratory that would expand in order to make up for the large pressure difference outside is 232.9m³

7 0
3 years ago
What is the length of a one-dimensional box in which an electron in the n=1 state has the same energy as a photon with a wavelen
Pie

Answer:

Length will be 0.491 nm

Explanation:

We have given wavelength of the photon \lambda =800nm=800\times 10^{-9}m

Plank's constant h=6.6\times 10^{-34}J-s

We know that energy of the photon is given by

E=\frac{hc}{\lambda }=\frac{6.6\times 10^{-34}\times 3\times 10^8}{800\times \times 10^{-9}}=2.475\times 10^{-19}J

We know that energy of photon is also given by

E=\frac{n^2h^2}{8mL^2}=\frac{h^2}{8mL^2}

2.475\times 10^{-19}=\frac{(6.6\times 10^{-34})^2}{8\times 9.1\times 10^{-31}\times L^2}

L=0.491\times 10^{-9}m

3 0
3 years ago
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