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Anit [1.1K]
2 years ago
11

a sprinter running a 100m dash leaves the starting block and accelerates to a maximum velocity of 11m/s at 6s into the race. the

sprinter maintains this velocity for 2s , and then slows down until crossing the finish line 11s after beginning the race. a) what was the sprinter's average acceleration during the first 6s of the race? b) what was the sprinter's average acceleration from 6 to 8 s into the race?
Physics
1 answer:
mihalych1998 [28]2 years ago
7 0

Answer:

Part(a): The average acceleration is 1.83~m~s^{-2} during the first 6s.

Part(b): The average acceleration from 6s to 8s is zero.

Explanation:

Part(a):

The average acceleration is defined as the rate at which velocity is changing with respect to time. So if 'v_{i}', 'v_{f}' and 'a_{av}' represents the initial velocity, final velocity, and average acceleration of a particle, then mathematically

a_{av} = \dfrac{v_{f} - v_{i}}{t}

where 't' is the time taken by the particle to achieve the velocity 'v_{f}' starting from initial velocity 'v_{i}'

Given in the problem, v_{i} = 0, v_{f} = 11~m~s^{-1}~and~t = 6~s.

So the average acceleration(a_{av}) during the first 6 s will be

a_{av} = \dfrac{11 - 0}{6}~m~s^{-2} = 1.83~m~s^{2}

Part(b):

During the time between 6 s to 8 s, as mentioned in the problem, the sprinter maintains the constant velocity. So the average acceleration during this time interval will be zero.

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3 years ago
In a two-slit experiment using coherent light, the distance between the slits and the screen is 1.10 m, and the distance between
Paul [167]

Answer:

D) 763 nm

Explanation:

Calculation for the wavelength of light

Using this formula

Wavelength of light=Delta Y*Distance / Length

Where,

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Distance represent the Distance between the slits

Let note that cm to m = (4.2) x 10^-2 and mm to m= ( 0.0400x 10^-3)

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3 0
2 years ago
astronauts in space cannot weigh themselves by standing on a bathroom scale. Instead, they determine their mass by oscillating o
devlian [24]

Answer:

The right answer is:

(a) 63.83 kg

(b) 0.725 m/s

Explanation:

The given query seems to be incomplete. Below is the attachment of the full question is attached.

The given values are:

T = 3 sec

k = 280 N/m

(a)

The mass of the string will be:

⇒ T=2 \pi\sqrt{\frac{m}{k} }

or,

⇒ m=\frac{k T^2}{4 \pi^2}

On substituting the values, we get

⇒     =\frac{280\times (3)^2}{4 \pi^2}

⇒     =\frac{280\times 9}{4\times (3.14)^2}

⇒     =68.83 \ kg

(b)

The speed of the string will be:

⇒  \frac{1}{2}k(0.4)^2=\frac{1}{2}k(0.2)^2+\frac{1}{2}mv^2

then,

⇒             v=\sqrt{\frac{k((0.4)^2-(0.2)^2)}{m} }

On substituting the values, we get

⇒                =\sqrt{\frac{280\times ((0.4)^2-(0.2)^2)}{63.83} }

⇒                =\sqrt{\frac{280(0.16-0.04)}{63.83} }

⇒                =\sqrt{\frac{280\times 0.12}{63.83} }

⇒                =0.725 \ m/s

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