The acceleration of the particle as a function of time t is

The velocity of the particle at time t is the integral of the acceleration:

where the constant C can be found by requiring that the velocity at time t=0 is v=3:

and we find

so the velocity is

The position of the particle at time t is the integral of the velocity:

where D can be found by requiring that the initial position at time t=0 is zero:
x(0)=0
from which we find D=0, so
To solve the problem, now we just have to substitute t=5 into x(t) and v(t) to find the position and the velocity of the particle at t=5.
The position is:

and the velocity is:
The answer is , n<span>o, because there are not the same number of molecules in the product side as in the reactant side.
The law of conservation of matter says that the system remains the same throughout. The number of atoms, mass and energy must stay constant. If you look at your figure there are more white atoms on the left side than the right, this means that there was a loss and this should not be the case.
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Answer:
Decreases the time period of revolution
Explanation:
The time period of Cygnus X-1 orbiting a massive star is 5.6 days.
The orbital velocity of a planet is given by the formula,
v = √[GM/(R + h)]
In the case of rotational motion, v = (R +h)ω
ω = √[GM/(R + h)] /(R +h)
Where 'ω' is the angular velocity of the planet
The time period of rotational motion is,
T = 2π/ω
By substitution,
<em>T = 2π(R +h)√[(R + h)/GM] </em>
Hence, from the above equation, if the mass of the star is greater, the gravitational force between them is greater. This would reduce the time period of revolution of the planet.
I assume the 100 N force is a pulling force directed up the incline.
The net forces on the block acting parallel and perpendicular to the incline are
∑ F[para] = 100 N - F[friction] = 0
∑ F[perp] = F[normal] - mg cos(30°) = 0
The friction in this case is the maximum static friction - the block is held at rest by static friction, and a minimum 100 N force is required to get the block to start sliding up the incline.
Then
F[friction] = 100 N
F[normal] = mg cos(30°) = (10 kg) (9.8 m/s²) cos(30°) ≈ 84.9 N
If µ is the coefficient of static friction, then
F[friction] = µ F[normal]
⇒ µ = (100 N) / (84.9 N) ≈ 1.2