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lana [24]
4 years ago
7

A runner is training for an upcoming marathon by running around a 80-m-diameter circular track at constant speed. Let a coordina

te system have its origin at the center of the circle with the x-axis pointing east and the y-axis north. The runner starts at (x, y) = (48 m, 0 m) and runs 2.5 times around the track in a clockwise direction.1. What is the magnitude of his displacement vector?2. What is the direction of his displacement vector?
Physics
1 answer:
Umnica [9.8K]4 years ago
7 0

Answer:

Explanation:

Given

diameter d=80\ m

runner start at (x,y)=(48 m,0 m)

Runner runs around the circle 2.5 times

i.e. he runs two and half rounds

displacement of two rounds is zero so net displacement is of half round

displacement =\pi \cdot 48=150.816\ m

After 2.5 round he will be towards west direction with respect to origin

so direction of displacement vector is west

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3. Tyrone wants to determine how fast a bowling ball travels when it is bowled. He uses a stopwatch to
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Meters would be the best way to record the length
7 0
3 years ago
In a collision experiment, the ratio of the velocity change between two carts of equal inertia is found to equal 1.
VashaNatasha [74]

Answer:

A) Therefore if I double the masses with are in the two terrine they are simplified and the radii of the speeds remain the same

B) If the masses are maintained and the speeds are doubled, the radius of the two speeds remains the same

Explanation:

A vehicle crash problem must be solved with the equation of the moment,

Initial instant Before crash

              p₀ = m v₁ + mv₂

After the crash

            p_{f} = m v_{1f} + m v_{2f}

           p₀ = p_{f}

If the speed ratio before and after the crash is one

           p₀ / p_{f} = 1

We can assume that initially one of the cars was stopped

           m v₁₀ = m v_{2f}

           v₁₀ = v_{2f}

For the two speeds to be equal, the masses of the vehicles must be the same.

A) Therefore if I double the masses with are in the two terrine they are simplified and the radii of the speeds remain the same

B) If the masses are maintained and the speeds are doubled, the radius of the two speeds remains the same

5 0
3 years ago
In an emergency an airplane needs to land on a short runway at Albany County Airport. The plane comes in for a landing with a sp
zvonat [6]

Answer:

t = 13.43 s

Explanation:

In order to find the minimum time required by the plane to stop, we will use the first equation of motion. The first equation of motion is written as follows:

Vf = Vi + at

where,

Vf = Final Velocity of the Plane = 0 m/s (Since, the plane finally stops)

Vi = Initial Velocity of the Plane = 95 m/s

a = deceleration of the plane = - 7.07 m/s²

t = minimum time interval needed to stop the plane = ?

Therefore,

0 m/s = 95 m/s + (- 7.07 m/s²)t

t = (95 m/s)/(7.07 m/s²)

<u>t = 13.43 s</u>

6 0
3 years ago
A tugboat tows a ship with a constant force of magnitude F1. The increase in the ship's speed during a 10 s interval is 5.0 km/h
Ratling [72]

Answer

given,

time  = 10 s

ship's speed = 5 Km/h

F = m a

a is the acceleration and m is mass.

In the first case

F₁=m x a₁

where a₁ =  difference in velocity / time

F₁ is constant acceleration is also a constant.

Δv₁ = 5 x 0.278

Δv₁ = 1.39 m/s

a_1=\dfrac{1.39}{10}

a₁ = 0.139 m/s²

F₂ =m x a₂

F₃ = F₂ + F₁

Δv₃ = 19 x 0.278

Δv₃ = 5.282 m/s

a₃=Δv₂ / t

a_3=\dfrac{5.282}{10}

a₃ = 0.5282 m²/s

m a₃=m a₁ + m a₂

a₃ = a₂ + a₁

0.5282 = a₂ + 0.139

a₂=0.3892 m²/s

F₂ = m x 0.3892...........(1)

F₁ = m x 0.139...............(2)

F₂/F₁

ratio = \dfrac{0.3892}{0.139}

ratio = 2.8

6 0
4 years ago
When thermal energy is added to an object what happens to the motion of the particles
Juli2301 [7.4K]

Answer:

The movement of thermal energy from a substance at a higher temperature to one at a lower temperature is called heat. When a substance is heated, it gains thermal energy. Therefore, its particles move faster and its temperature rises.

Explanation:

5 0
3 years ago
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