1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nookie1986 [14]
3 years ago
6

A 4.4 kg mess kit sliding on a frictionless surface explodes into two 2.2 kg parts, one moving at 2.9 m/s, due north, and the ot

her at 6.8 m/s, 35° north of east. What is the original speed of the mess kit?
Physics
1 answer:
sp2606 [1]3 years ago
6 0

Answer:

Original speed of the mess kit = 4.43 m/s at 50.67° north of east.

Explanation:

Let north represent positive y axis and east represent positive x axis.

Here momentum is conserved.

Let the initial velocity be v.

Initial momentum = 4.4 x v = 4.4v

Velocity of 2.2 kg moving at 2.9 m/s, due north = 2.9 j m/s

Velocity of 2.2 kg moving at 6.8 m/s, 35° north of east = 6.9 ( cos 35i + sin35 j ) = 5.62 i + 3.96 j m/s

Final momentum = 2.2 x 2.9 j + 2.2 x (5.62 i + 3.96 j) = 12.364 i + 15.092 j kgm/s

We have

         Initial momentum = Final momentum

         4.4v = 12.364 i + 15.092 j

         v =2.81 i + 3.43 j

Magnitude

        v=\sqrt{2.81^2+3.43^2}=4.43m/s

Direction

       \theta =tan^{-1}\left ( \frac{3.43}{2.81}\right )=50.67^0

       50.67° north of east.

Original speed of the mess kit = 4.43 m/s at 50.67° north of east.

You might be interested in
Two equipotential surfaces surround a +1.70 x 10-8-C point charge. How far is the 120-V surface from the 54.0-V surface?
UNO [17]

Answer:

1.55 m

Explanation:

The potential produced by a point charge, is inversely proportional to the distance from the charge to the point where the potential is being calculated, as follows:

V =\frac{k*q}{r}

As it only depends from the distance r, we can conclude that if the potential is the same for any point to a distance r from the point charge, the equipotencial surface must be a sphere of radius r.

Replacing q = +1.7*10⁻⁸ C, and k = 9*10⁹ N*m²/C², and V, by 120 V and 54 V, we can find the distance from the charge, to the points where we are calculating the potential V, as follows:

r1 =\frac{k*q}{V1} = \frac{9e9 N*m2/C2*1.7e-8C}{120 V} = 1.28 m

r2 =\frac{k*q}{V2} = \frac{9e9 N*m2/C2*1.7e-8C}{54V} = 2.83 m

The distance between both points, is just the difference between the radius of both spheres, as follows:

r₂ - r₁ = 1.55 m

5 0
3 years ago
Action and reaction forces are described by which of Newton's laws of motion?
Ilia_Sergeevich [38]

Answer:

The first one

Explanation:

4 0
4 years ago
Read 2 more answers
Which of the following is an example of potential energy?
Papessa [141]

Answer:

A

Explanation:

potential energy is stored energy so the ball has potential energy to bounce or roll which would then have been converted to kinetic but the rest are in motion meaning energy is no longer stored but used in motion and therefore cannot be potential energy

4 0
3 years ago
Calculate the electrostatic force that a small sphere A, possessing a net charge of 2.0 x 10^-6 Coulombs exerts on another small
Anni [7]

Answer:

F = 5.33*10^-4N

Explanation:

to find the electrostatic force you use the Coulomb's law, given by the formula:

F=k\frac{q_Aq_B}{r^2}

k: Coulomb's constant = 8.89*10^9 Nm^2/C^2

q_a: charge of A = 2.0*10^{-6}C

q_B: charge of B = -3.0*10^{-6}C

r: distance between the spheres = 10.0m

By replacing all these values you obtain:

F=(8.89*10^9Nm^2/C^2)\frac{(2.0*10^{-6}C)(-3.0*10^{-6}C)}{(10.0m)^2}=5.33*10^{-4}N

hence, the forcebetween the spheres is about 5.33*10^-4N

3 0
3 years ago
The picture below shows a person swinging a toy plane attached to a string in
Elina [12.6K]

Answer:The answer is option C, the point A

Explanation:Just did it

3 0
3 years ago
Other questions:
  • The body weighing 2 kg moves through the horizontal surface and crosses the path x = 75 cm The coefficient of friction of the bo
    11·1 answer
  • Dana has a sports medal suspended by a long ribbon from her rearview mirror. as she accelerates onto the highway, she notices th
    11·1 answer
  • The Statue of Liberty is made of copper that has turned green because it had undergone a change. What can be said about this cha
    12·2 answers
  • Calculate the momentum for a 0:2 kg rifle bullet traveling 300m/a
    13·1 answer
  • As the frequency of the ac voltage across a capacitor approaches zero, the capacitive reactance of that capacitor:___________.
    12·1 answer
  • In the school cafeteria, a trouble-making child blows a 12.0 g spitball through a 25.0 cm straw. The force (F) in Newtons, of hi
    14·1 answer
  • If a car races around a 2.3 mile oval track 220 times, what is the displacement of the car in meters when it crosses the finish
    5·1 answer
  • A block of mass 4 kg is attached to a spring of force constant (k) 1000 N/m, and undergoes simple harmonic motion. What is the p
    5·1 answer
  • Name the fields which are balanced at a neutral point.​
    7·1 answer
  • Suppose you fill two rubber balloons with air, suspend both of them from the same point, and let them hang down on strings of eq
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!