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Alinara [238K]
3 years ago
13

A particle moves along the x axis so that its velocity at time t is given by v(t)=

Physics
1 answer:
vodomira [7]3 years ago
6 0

Answer:

a = 0.7267 ,  acceleration is positive therefore the speed is increasing  

Explanation:

The definition of acceleration is

         a = dv / dt

they give us the function of speed

         v = - (t-1) sin (t² / 2)

         a = - sin (t²/2) -  (t-1) cos (t²/2)  2t / 2

         a = - sin (t²/2) - t (t-1)  cos (t²/2)

the acceleration for t = 4 s

          a = - sin (4²/2) - 4 (4-1) cos (4²/2)

          a = -sin 8 - 12 cos 8

remember that the angles are in radians

          a = 0.7267

the problem does not indicate the units, but to be correct they must be m/s²

We see that the acceleration is positive therefore the speed is increasing

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A boxed 14.0 kg computer monitor is dragged by friction 5.50 m up along the moving surface of a conveyor belt inclined at an ang
adell [148]

Answer:

A boxed 14.0 kg computer monitor is dragged by friction 5.50 m up along the moving surface of a conveyor belt inclined at an angle of 36.9 ∘ above the horizontal. The monitor's speed is a constant 2.30 cm/s.

how much work is done on the monitor by (a) friction, (b) gravity

work(friction) = 453.5J

work(gravity) = -453.5J

Explanation:

Given that,

mass = 14kg

displacement length = 5.50m

displacement angle = 36.9°

velocity = 2.30cm/s

F = ma

work(friction) = mgsinθ .displacement

                      = (14) (9.81) (5.5sin36.9°)

                       = 453.5J

work(gravity)

= the influence of gravity oppose the motion of the box and can be pushing down, on the box from and angle of (36.9° + 90°)

= 126.9°

work(gravity) = (14) (9.81) (5.5cos126.9°)

                      = -453.5J

8 0
3 years ago
The state of matter that has low thermal expansion​
leonid [27]

Answer:

Matter

Explanation:

Because it is solid

6 0
4 years ago
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What happens to a sample of matter when it’s particles lose kinetic energy?
Mrrafil [7]
What will happen if the sample is the
Featured snippet from the web
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4. A high school athlete runs 400 m in 52.20 sec. What is his speed in mph?<br> 14100<br> 1110
Serggg [28]

Answer:

28,800m/p second

Explanation:

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3 years ago
In preparation for building a space station, an astronaut removes a self-telescoping uniform rod from the cargo bay and releases
emmainna [20.7K]

To solve this problem it is necessary to apply the concepts related to the conservation of angular momentum. This can be expressed mathematically as a function of inertia and angular velocity, that is:

L = I\omega

Where,

I = Moment of Inertia

\omega= Angular Velocity

For the given object the moment of inertia is equivalent to

I = \frac{mr^2}{12}

Considering that the moment of inertia varies according to distance, and that there are two of these without altering the mass we will finally have to

L_i = L_f

I_i \omega_1 = I_f \omega_2

(\frac{mr_{initial}^2}{12})(\omega_1)=(\frac{mr_{final}^2}{12})(\omega_2)

(r_{initial}^2})(\omega_1)=(r_{final}^2)(\omega_2)

Our values are given as,

r_{initial} = 3m\\\omega_1 = 0.05rad/s \\r_{final}=1.5m

Replacing we have,

(3^2})(0.05)=(1.5^2)(\omega_2)

\omega_2 = 0.2rad/s

Therefore the angular speed after the catch slips is 0.2rad/s

7 0
3 years ago
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