Suppose that a sled is accelerating at a rate of 2 m/s2. If the net force is tripled and the mass is halved, then what is the new acceleration of the sled?(show how you solved it)

Answers

Answer 1

Answer:
Start with Newton's 2nd law of motion:

   Force = (mass) x (acceleration) .

Since we're going to be talking about acceleration,
lets divide each side by (mass):

   Acceleration = (force) / (mass) .

OK. We start out with a certain acceleration 'A₀'. It's the result of
a certain force 'F₀' and a certain mass 'M₀'. (I used the little subscripts " ₀ "
to show that these are the originals, before any changes.)

   Original acceleration = (Original force) / (original mass)

A₀    = F₀ / M₀ .

Now you want to triple the force and cut the mass in half:

   New acceleration A₁ = (3 F₀) / (1/2 M₀) .

Divide each side by 3:    A₁ / 3 = F₀ / (1/2 M₀) .

Multiply each side by 1/2 :   (1/2 A₁) / 3 = F₀/M₀

   A₁ / 6 = F₀/M₀

Take a look at the right side of that equation . . . F₀/M₀ .
That's just the original acceleration A₀ .
So now, after the change, we have A₁ / 6 = A₀ .

You asked "What is the new acceleration ?"
OK. Multiply each side by 6 : A₁ = 6 A₀ .

Whatever the original acceleration was, the
new acceleration is 6 times as much.

If it was originally 2 m/s², then after the change, it becomes (6 x 2) = 12 m/s² .

Answer 2

Answer:

Final answer:

Using Newton's second law of motion, if the net force on a sled is tripled and the mass halved, the new acceleration would be 12 m/s².

Explanation:

The subject of this question is derived from the principle of Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This can be represented as: F=ma (Force = mass * acceleration).

Given that the original acceleration 'a' is 2 m/s², the force 'F' acting on the sled can be calculated as F=ma. But since the net force is being tripled and the mass halved, the new force would be 3F, and the new mass would be m/2.

Now we need to determine the new acceleration, which can be calculated as a = F/m. Plugging in our new values, we get a = (3F)/(m/2). This equates to a = 6F/m. Since the original force is calculated as F=ma, we can substitute this in the above equation. Hence the new acceleration is 6*2 m/s² = 12 m/s².

Learn more about Newton's second law of motion here:

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What receives radio waves from space objects such as quasars?a. GPS equipment
b. Landsat satellites
c. VLBI equipment
d. navigation satellites

Answers

A VLBI system detects radio waves from space objects such as quasars.

"VLBI" stands for "Very Long Baseline Interferometry". The idea
is that the signal is picked up by two receivers, separated by some
distance. The tiny difference in the time the signal shows up at the
two places is used for a very precise calculation of the direction it's
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An oscillator makes four vibrations in one second. What is its period and frequency?

Answers

Frequency = no. of oscillations/ time

= 4 / 1
= 4Hz

Time period = 1/ frequency

= 1/ 4

= 0.25 seconds.

If the rifle is stopped by the hunter’s shoulder in a distance of 3.16 cm, what is the magnitude of the average force exerted on the shoulder by the rifle? Answer in units of N.
mass of bullet= 0.0137 kg
velocity of bullet= 546 m/s to the right
mass of rifle= 3.82 kg
recoil speed of the rifle as the bullet leaves the rifle= 1.958167539 m/s

Answers

Answer:

F = 231.77N

Explanation:

Given the following data

Distance of Hunter's shoulder (d) = 3.16cm = 0.0316m

mass of bullet (m1) = 0.0137 kg

velocity of bullet (v1) = 546 m/s

mass of rifle(m2)= 3.82 kg

Velocity of rifle (V2) = 1.958167539 m/s

Momentum = MV

Momentum is conserved

Since we are looking for the force exerted on the shoulder by the rifle

Work done = Force × distance (F×d)

The rifle possessed kinetic energy = 1/2mV²

Therefore, work done = kinetic energy

F×d = 1/2mv²

F = 0.5mv²/d

By substitution we have

F = 0.5×3.82×1.9582²/0.0316

F = 7.324/0.0316

F = 231.77N

Did you get a correct answer to your question?

Why is it useful to create neptunium by bombarding uranium with protons even though neptunium disintegrates in about two days?

Answers

Answer;

Neptunium breaks down to produce plutonium used in bombs and americium.
it is also used in smoke detectors

Explanation;

Neptunium may be made by bombarding uranium with neutrons. However Neptunium atoms disintegrate to form plutonium.

Neptunium is useful. When Neptunium is bombarded with neutrons it is used to produce plutonium-238 which is used for spacecraft generators and terrestrial navigation beacons.
Plutonium used in bombs and americium. it is also used in smoke detectors.
Additionally, Neptunium is used in neutron detection equipment.

If the speed of an object is tripled, its kinetic energy will be

Answers

If the speed of an object is tripled, its kinetic energy will be 9 times the initial value.

What is kinetic energy?

The kinetic energy of an object is the energy possessed by the object due to its motion.

K.E = ¹/₂mv²

where;

m is mass of the object

v is speed of the object

When the speed is tripled

K.E = ¹/₂m(3v)²

K.E = 9(¹/₂mv²)

Thus, if the speed of an object is tripled, its kinetic energy will be 9 times the initial value.

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a 15kg child is riding a merry go round at 3rpm. what centripetal force must she exert if she is 8m from the center

Answers

This is another application of Newton's second law of motion

   Force = (mass) x (acceleration).

The quantities are a little more complicated in circular motion than
they are in plain old straight-line motion. In circular motion, the 'force'
is the centripetal force on the object, always pointing toward the center
of the circle. And the 'acceleration' is the centripetal acceleration, also
pointing toward the center of the circle, and equal to

      (speed)² / (radius).

The only thing we really need to find is the centripetal acceleration, and
then we'll have everything needed to plug into the formula and calculate
the centripetal force.

   Acceleration =    (speed)² / (radius).

   Speed = (distance) / (time) =

   (3 circumferences) / (minute) =

   (3 x 2pi x radius) / minute =

(6 pi x 8 meters) / (60 sec) = 0.8 pi m/s .

   Acceleration = (speed)² / (radius) =

   0.64 pi² m²/s² / (8 meters) = 0.08 pi² m/s² =

   0.79 m/s² (rounded) .

   Force = (mass) x (acceleration) =

   (15 kg) x (0.79 m/s²) = 11.84 newtons
      (about 2.66 pounds) .

I would not say that she "exerts this centripetal force". The fact of
the matter is much simpler: This is the force that something must
exert on her, pointing toward the center, in order to keep her revolving
around the center at that speed. It could be the friction between her
shoes and the platform, if she's standing on the merry-go-round.
It could be a rope tied between her ankle and something at the center
of the rotating platform. It could be the safety belt on the horse that
she's riding. Whatever it is, something has to constantly pull her toward
the center of the platform, with a force of 11.84 newtons, otherwise her
15kg body will not travel in that circular path.

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