Answer:
Explanation:
The equation of the position in kinematics is given:
- x(0) is the initial position, in this it is 0
- v(0) is the initial velocity (20 m/s)
- a is the acceleration (2 m/s²)
So the equation will be:
Now, the Taylor polynomial equation is:
Using our position equation we can find f'(t)=v(t) and f''(x)=a(t). In our case a=0, so let's find each derivative.
Using the Taylor polynomial with a = 0 and take just the second order of the derivative.
Let's put t=1 so find the how far the car moves in the next second:
Therefore, the position in the next second is 21 m.
We need to know if the acceleration remains at this value to use this polynomial in the next minute, so I suggest that it would be reasonable to use this method just under this condition.
I hope it helps you!
This is more along the lines of "Does gravity affext potential energy"
Sort of. Potential energy is an odd one to imagine, sometimes.
It's the energy possessed by an object or system by dint of it's spatial
and mechanical configuration.
That definition alone is perhaps not so useful...and it's certainly not
official. But what it means is that an object can potentially have
energy due to where it is or what state the system is in.
Imagine we have a box and it's on the floor. The box, for all intents
and purposes, has no potential energy. It isn't going anywhere and it
just sits on the floor. It can't do any work in it's current position.
Now we hoist the box into the air. For any distance the box travels from
the floor, it gains potential energy. Now let's back track. We've
changed the box's spatial configuration by hoisting it into the air and
so have given it potential energy.
Why does it now have potential energy? Because we can now drop the box
(costing us no energy) and the box will fall. Maybe it falls onto a
passer-by and injures them.
Box on the floor = No energy.
We lift the box = We spend our energy and give the box potential energy
(as it wants to fall toward the ground).
We drop the box = Potential energy is converted to kinetic energy as the
box falls.
Box injures someone = The kinetic energy has done work upon the person.
So we can see how it all flows and connects. We have to put energy into
the box to fight against gravity, but you can't destroy or create
energy....so the energy we've spent is potentially stored 'inside' the
box.
Clearly, gravity effects a LOT of potential energies around us. In fact
to some small extent, it's probably impossible to entirely avoid it's
effects.
Answer:
Radiation is the answer to your question
Answer: 1.9394m/s
Explanation: m1 (mass of 3 billiard ball) = 0.16kg
U1(initial velocity of the 3 billiard ball) = 4.0m/s
M2 (mass of the cue ball) = 0.17kg
U1 (initial velocity of the cue ball) = 0m/s
Final velocities of both the cue ball and 3 billiard ball after collision = ?
According to the principle of conservation of linear momentum, total momenta before collision = total momenta after collision:
M1U1 + M2U2 = (M1+M2)V
0.16*4.0 + 0.17* 0 = (0.16 + 0.17)V
0.64 + 0 = 0.33V
V = 0.64/0.33 = 1.9394m/s
