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Juli2301 [7.4K]
3 years ago
6

A 12 kg box sliding on a horizontal floor has an initial speed of 4.0 m/s. The coefficient of friction bctwecn thc box and the f

loor is 0.20. The box moves n distance of 4.0 m in 2.0 s. The magnitude of the change in momentum of the box during this time is most nearly (A) 12 kg-m/s (B) 48 kg-m/s (C 60 kg-m/s (D) 96 kg-m/s
Physics
1 answer:
Hitman42 [59]3 years ago
6 0

Answer:

(D) 96 kg-m/s

Explanation:

Let's start off by first calculating the normal force between the box and the floor.

This will be:

Normal Force = 12 * 9.81 = 117.72 N

We can now use the friction equation to find the frictional force on the box when it is moving:

Frictional force = Coefficient of friction * Normal Force

Frictional force = 0.4 * 117.72 = 47.09 N

Finally, since we have the force on the box, we can find the acceleration:

F = Mass * Acceleration

47.09 = 12 * Acceleration

Acceleration = 3.92 m/s^2

Final speed after 2 seconds:

V=U+a*t

V = 4 +(-3.92)*(2)

V= -3.84 m/s

Since we know the initial and final speeds, we can calculate the change in momentum:

Change in momentum = Final Momentum - Initial Momentum

Change in momentum = 3.84*12-(-4)*12

Change in momentum = 94.08 kg*m/s

Thus we can see that option (D) is the closest answer.

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Phosphorus-32, a radioactive isotope of phosphorus-31 (atomic number 15), undergoes a form of radioactive decay whereby a neutro
dimulka [17.4K]

Answer:

The product of the decay its Sulfur-32

Explanation:

Phosphorus-32 ( lets write it _{15}^{32}P, where the number above its the atomic mass and the number below the atomic number) decays turning a neutron into a proton and emitting radiation on the form of a electron. This is the beta minus decay, and, actually, an electronic antineutrino its also produced. We can write this decay for an X isotope with a Y isotope produced as:

_{Z}^{A}X \to _{Z+1}^{A}Y + e^- + \bar{\nu_e}

where e^- its the electron, and \bar{\nu_e} the electronic antineutrino . We can see that the atomic number increases by one (cause a proton it produced and retained into the nucleus), and the atomic mass is approximately the same (there is a small difference between the neutron and proton mass, but its very small).

So, Phosphorus-32 (atomic number 15) will turn to an element with atomic number 16, and atomic mass 32, as:

_{15}^{32}P \to _{15+1}^{32}Y + e^- + \bar{\nu_e}.

_{15}^{32}P \to _{16}^{32}Y + e^- + \bar{\nu_e}.

The Y isotope must have an atomic number of 16 and an atomic mass of 32. The element with atomic number 16 its Sulfur (S), so, our decay its

_{15}^{32}P \to _{16}^{32}S + e^- + \bar{\nu_e}.

and the product of such decay its Sulfur-32

5 0
4 years ago
The table below shows the acceleration of gravity on different bodies in the solar system.
levacccp [35]

Do you remember the formula for potential energy ?

PE = (mass) (gravity) (height)

If the mass and the height are always the same, then the least PE comes from the least gravity. Surely you can find THAT in the table.

4 0
3 years ago
Read 2 more answers
State the Boyle's Law. If the graph for Boyle's law is straight line through the origin then state the quantity taken along: a)
astraxan [27]

Answer:

(a) X- axis represent (1/P) inverse of pressure

(b) Y-axis represent (V) volume

Explanation:

Boyle's Law States that at constant temperature, the volume of a fixed mass of gas is inversly proportional to its pressure. It can be expressed mathematically as

V α 1/P

VPα1

removing the proportionality sign and introducing a constant

VP = k

V₁P₁ = V₂P₂

Where V₁ and V₂ are initial and final volume respectively, P₁ and P₂ are initial and final pressure respectively.

If the graph for Boyle's law is straight line through the origin,

(a) X-axis represent (1/P) inverse of pressure

(b) Y- axis represent (V) volume.

7 0
3 years ago
A person investing p at a certain rate of simpl interest after 1 2 and3 years it amounted to 1.5 p 2.5 p respectively what will
Ulleksa [173]

Answer: It will amount to 11p after 20 years.

Explanation:

Formula :

Simple interest = Principal x rate x Time              (i)

Amount = Principal + Interest

Amount = Principal +   Principal x rate x Time

Amount =  Principal (1+  rate x Time)                       (ii)

Given: Principal = p

After 1 year , amount = 1.5p

After 3 years , amount = 2.5p

From (ii)

1.5p = p (1+r)\\\\\Rightarrow\ 1.5=1+r\\\\\Rightarrow\ 0.5= r\\\\\Rightarrow r= 0.5

Amount after 20 years = p(1+ 0.5 x 20) = p(1+10)=11p

It will amount to 11p after 20 years.

7 0
3 years ago
A delivery truck leaves a warehouse and travels 2.60 km north. The truck makes a right turn and travels 1.33 km east before maki
charle [14.2K]

Answer:

AD\approx1.7582\ km

Explanation:

Follow the schematic in which point A is the warehouse and point D is the destination.

Now we observe the triangle constructed \Delta ADB:

here:

AB\perp BD

AB=2.6-1.45

AB=1.15\ km

&

BD=1.33\ km

As we know that displacement is the shortest distance between two points.

<u>Using Pythagoras theorem:</u>

AD=\sqrt{AB^2+BD^2}

AD=\sqrt{(1.15)^2+(1.33)^2}

AD\approx1.7582\ km

3 0
3 years ago
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