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
morpeh [17]
1 year ago
7

Two remote control cars with masses of 1.16 kilograms and 1.98 kilograms travel toward each other at speeds of 8.64 meters per s

econd and 3.34 meters per second, respectively. The cars collide head-on, and the less massive car recoils with a speed of 2.16 meters per second.a. What is the final speed of the second car? Include units in your answer. More information. Hint: Pay attention to directions! Must be in 3 significant digits.
Physics
1 answer:
Black_prince [1.1K]1 year ago
3 0

The initial momentum of the system can be expressed as,

p_i=m_1u_1+m_{2_{}}u_2

The final momentum of the system can be given as,

p_f=m_1v_1+m_{2_{}}v_2

According to conservation of momentum,

p_i=p_f

Plug in the known expressions,

\begin{gathered} m_1u_1+m_2u_2=m_1v_1+m_2v_2 \\ m_2v_2=m_1u_1+m_2u_2-m_1v_1 \\ v_2=\frac{m_1u_1+m_2u_2-m_1v_1}{m_2} \end{gathered}

Initially, the second mass move towards the first mass therefore the initial speed of second mass will be taken as negative and the recoil velocity of first mass is also taken as negative.

Plug in the known values,

\begin{gathered} v_2=\frac{(1.16\text{ kg)(8.64 m/s)+(1.98 kg)(-3.34 m/s)-(1.16 kg)(-2.16 m/s)}}{1.98\text{ kg}} \\ =\frac{10.02\text{ kgm/s-}6.61\text{ kgm/s+}2.51\text{ kgm/s}}{1.98\text{ kg}} \\ =\frac{5.92\text{ kgm/s}}{1.98\text{ kg}} \\ \approx2.99\text{ m/s} \end{gathered}

Thus, the final velocity of second mass is 2.99 m/s.

You might be interested in
Which of the following is not part of costa rica’s geography?
Romashka-Z-Leto [24]

costa rica does not have deserts hoped this helped and have a great day:)


7 0
3 years ago
Read 2 more answers
Consider two points in an electric field. The potential at point 1, V1, is 33 V. The potential at point 2, V2, is 175 V. An elec
Mnenie [13.5K]

Answer:

ΔU  = e(V₂ - V₁) and its value ΔU = -2.275 × 10⁻²¹ J

Explanation:

Since the electric potential at point 1 is V₁ = 33 V and the electric potential at point 2 is V₂ = 175 V, when the electron is accelerated from point 1 to point 2, there is a change in electric potential ΔV which is given by ΔV = V₂ - V₁.

Substituting the values of the variables into the equation, we have

ΔV = V₂ - V₁.

ΔV = 175 V - 33 V.

ΔV = 142 V

The change in electric potential energy ΔU = eΔV = e(V₂ - V₁) where e = electron charge = -1.602 × 10⁻¹⁹ C and ΔV = electric potential change from point 1 to point 2 = 142 V.

So, substituting the values of the variables into the equation, we have

ΔU = eΔV

ΔU = eΔV

ΔU = -1.602 × 10⁻¹⁹ C × 142 V

ΔU = -227.484 × 10⁻¹⁹ J

ΔU = -2.27484 × 10⁻²¹ J

ΔU ≅ -2.275 × 10⁻²¹ J

So, the required equation for the electric potential energy change is

ΔU  = e(V₂ - V₁) and its value ΔU = -2.275 × 10⁻²¹ J

5 0
2 years ago
Two objects, A and B, are in contact with one another. Initially, the temperature of A is 50 °C and the temperature of B is 100
V125BC [204]

Answer:

B

Explanation:

because kinetic energy is directly proportional to temperature so the hottor the object, the more kinetic energy.

6 0
3 years ago
Which of these scientists had the greatest contribution to early microscopy?
Alisiya [41]
B. I think is the correct answer
5 0
2 years ago
If the velocity is 50 and the time is 5 seconds what is the acceleration?
disa [49]

Just divide the both, you will get the answer!

does it sound rude?

im sorry for that!

3 0
2 years ago
Other questions:
  • Light traveling from water to a gemstone strikes the surface at an angle of 80.0º and has an angle of refraction of 15.2º . (a)
    9·1 answer
  • POINTS + BRAINLIEST TO CORRECT ANSWER
    8·1 answer
  • If someone is moving at a constant speed of 100 km/h and accelerate to 120km /h in 10 s what is the acceleration
    11·1 answer
  • A uniform 190 g rod with length 43 cm rotates in a horizontal plane about a fixed, vertical, frictionless pin through its center
    10·1 answer
  • If 1.3 grams of air has a volume of 1000cm ^3, what is the density of air?
    13·2 answers
  • A bomb at rest at the origin of an xy-coordinate system explodes into three pieces. Just after the explosion, one piece, of mass
    10·1 answer
  • CI. Design challenge: Your goal is to build a compound microscope than can at least double the size of the object. We will const
    13·1 answer
  • At maximum speed an airplane travels 1720 miles against the wind in 5 hours. Flying with the wind, the plane can travel the same
    7·2 answers
  • suppose a 51 kg bungee jumper steps off the royal gorge bridge, in colorado. The bridge is situated 321 m above the arkansas riv
    10·1 answer
  • How does using heat as a catalyst affect a chemical reaction?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!