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Lilit [14]
3 years ago
14

A particle moves in a velocity field V(x, y) = x2, x + y2 . If it is at position (x, y) = (7, 2) at time t = 3, estimate its loc

ation at time t = 3.01.
Physics
1 answer:
MArishka [77]3 years ago
6 0

Answer:

New location at time 3.01 is given by: (7.49, 2.11)

Explanation:

Let's start by understanding what is the particle's velocity (in component form) in that velocity field at time 3:

V_x=x^2=7^2=49\\V_y=x+y^2=7+2^2=11

With such velocities in the x direction and in the y-direction respectively, we can find the displacement in x and y at a time 0.01 units later by using the formula:

distance=v\,*\, t

distance_x=49\,(0.01)=0.49\\distance_y=11\,(0.01)=0.11

Therefore, adding these displacements in component form to the original particle's position, we get:

New position: (7 + 0.49, 2 + 0.11) = (7.49, 2.11)

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A car is traveling due north at 23.6 m>s.
alexira [117]

A car is traveling due north at 23.6 m>s.

Find the velocity of the car after 7.10 s if its

acceleration is

The acceleration is known to be: a(t) = 1.7 m/s2.

We must integrate over time to obtain the velocity function, and the results are:

v(t) = (1.7m/s^2)

*t + v0

If we suppose that we begin at 23.6 m/s, then the initial velocity is: v0 = 23.6 m/s, where v0 is the beginning velocity.

The velocity formula is then: v(t) = (1.7m/s2).

*t + 23.6 m/s

We now seek to determine the value of t such that v(t) = 27.8 m/s.

Consequently, v(t) = 27.8 m/s = (1.7 m/s2)

*t + 23.6 m/s = (1.7 m/s2) 27.8 m/s - 23.6 m/s

t = 2.5 seconds when *t 4.2 m/s = (1.7 m/s/2)

At such acceleration, 2.5 seconds are required.

To learn more about acceleration Visit :

brainly.com/question/19599982

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4 0
2 years ago
The previous part could be done without using the decay equation, because the ratio of original 14C14C to present 14C14C was an
salantis [7]

Answer:

The decay constant is 1.21×10^-4/year

Explanation:

Decay constant = 0.693/half-life

Half-life = 5730 years

Decay constant = 0.693/5730 years = 1.21×10^-4/year

4 0
4 years ago
A toy spacecraft is launched directly upward. When the toy reaches its highest point, a spring is released and the toy splits in
Murljashka [212]

Answer:

A

Explanation:

Momentum conservation will cause 0.08kg to move to the west (opposite of 0.02 kg).

and because both are at the same height above the ground, they will take the same time to reach the ground.

The speed of 0.08kg will be less than 0.02 kg, let v be the speed of 0..02kg, then speed of 0.08kg V is

0.02v - (0.08)V = 0

V = 0.02 v/ 0.08 = v/4

The speed of 0.08 kg = v/4

The speed of 0.08 kg is less than 0.02kg.

So 0.02kg strikes the ground farther from the launch point than does the 0.08 kg

8 0
3 years ago
An object is pulled with a 85 N force inclined at 27° along a horizontal surface ABC
OLEGan [10]

Answer:

m = 15.15 kg

Explanation:

Newton's Second Law of motion states that when an unbalanced force is applied on a body, an acceleration is produced in it in the direction of force. The component of force along the horizontal direction here, will be given by the Newton's Second Law as:

Fx = ma

F Cosθ = ma

where,

F = Magnitude of Force = 85 N

θ = Angle with horizontal = 27°

m = mass of object = ?

a = acceleration of object = 5 m/s²

Therefore,

85 N Cos 27° = m(5 m/s²)

m = 75.73 N/5 m/s²

<u>m = 15.15 kg</u>

6 0
3 years ago
State two uses of high specific heat of water​
Nitella [24]
  • It helps in regulating extremes in the environment.
  • It can be used as a car radiators.

<u>Explanation:</u>

  • The amount of heat needed to raise a certain amount of temperature to the water is known as the specific heat of the water. For one gram of water to increase 1 degree celsius, water needs to absorb 4.184 J of heat.

Some of the uses of high specific heat of water are as follows,

  • The temperature of the water will remain the same from day to night in ponds or sea. During day time, the hot air from the sea or pond rises while the cool air from the sea moves to take its place. During the night, the hot air from the land moves to take its place, giving rise to a land breeze and thus maintaining the environment.
  • Another example, When water is circulated throughout an engine, heat will get absorbed. This water is pumped to a radiator and then disposed to the surrounding air.

7 0
4 years ago
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