Physics, 21.02.2020 02:57 blondie02

Ball 1, with a mass of 100 g and traveling at 10 m/s, collides head-on with ball 2, which has a mass of 300 g and is initially at rest. What are the final velocities of each ball if the collision is (a) perfectly elastic? (b) perfectly inelastic?

Answers: 1

Show answers

Answers

Answer from: ayleenmorar

Perfectly Elastic (after collision):

Velocity of Ball 1 = v₁ = -5m/s

Velocity of Ball 2 = v₂ = 5m/s

In the case of a collision, assuming perfectly elasticity, ball 2 would move at a speed of 5m/s and ball 1 would switch direction moving at a now lower speed of 5m/s.

Perfectly Inelastic (after collision):

Velocity of Ball 1 = v₁ = 0m/s

Velocity of Ball 2 = v₂ = 0m/s

Explanation:

Perfectly Elastic:

No kinetic energy is lost via transfer into any other kind, e.g. heat, so we just use the conservation of momentum formula:

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

(0.1)(10) + (0.3)(0) = (0.1)v₁ + (0.3)v₂ (×10)

v₁ + 3v₂ = 10 → v₁ = 10 - 3v₂

Now, we have to be a bit innovative and use the kinetic energy formula for both balls:

KE = ¹/₂mv²

Firstly, before the collision:

Ball 1:

(KE)₁ = ¹/₂(0.1)(10)²

(KE)₁ = 5

Ball 2:

(KE)₂ = 0 ← it was at rest

Now after the collision:

Ball 1:

(KE)₁ = ¹/₂(0.1)(v₁)²

(KE)₁ = ¹/₂₀(v₁)²

Ball 2:

(KE)₂ = ¹/₂(0.3)(v₂)²

(KE)₂ = ³/₂₀(v₂)²

Since we are considering a perfectly elastic collision, no energy is lost in the collision so the sum of the kinetic energy of the two balls before and after the collisons has to be equal, hence we can formulate the following:

5 + 0 = ¹/₂₀(v₁)² + ³/₂₀(v₂)²

100 = (v₁)² + 3(v₂)²

Now, we can plug in the equation we found for v₁ from earlier and solve:

100 = (10 - 3(v₂))² + 3(v₂)²

100 = 100 - 60(v₂) + 9(v₂)² + 3(v₂)²

12(v₂)² - 60(v₂) = 0

(v₂)² - 5(v₂) = 0

(v₂)((v₂) - 5) = 0

v₂ = 0 OR v₂ - 5 = 0 → v₂ = 5

v₁ = 10 OR v₁ = 10 - 3(5) = -5 m/s

Perfectly Inelastic:

Final velocities would be 0;

All kinetic energy would be transferred in the collision, the balls would join together to become one in such a case.

Answer from: Quest

no. dot product =0 when vecs at right angles

Answer from: Quest

momentum of soft ball three times less than baskey ball

Another question on Physics

Physics, 22.06.2019 05:30

Will give brainliest! which statement best describes the difference between strong nuclear forces and weak nuclear forces? weak nuclear forces are involved when certain types of atoms break down. strong nuclear forces are responsible for holding atoms' nucleus together. weak nuclear forces hold bonds between atoms together. strong nuclear forces hold together the nucleus of an atom. strong nuclear bonds prevent atoms from falling apart. weak nuclear bonds prevent compounds from falling apart. strong nuclear forces are involved in breaking electrons from their shells. weak nuclear forces hold protons in the nucleus.

Answers: 3

Answer

Physics, 22.06.2019 06:00

Which of the following changes will result in a stronger electromagnet? a. using fewer coils of wire b. using a higher voltage c. using a shorter nail d. using a longer wire

Answers: 1

Answer

Physics, 22.06.2019 10:50

Asheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200oc and is permitted to achieve a steady-state diffusion condition. the diffusion coefficient for nitrogen in steel at this temperature is 6 x 10- 11 m2 /s, and the diffusion flux is found to be 1.2 x 10-7 kg/m2 -s. also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 4 kg/m3 . how far into the sheet from this high-pressure side will the concentration be 2.0 kg/m3 ? assume a linear concentration profile.

Answers: 3

Answer

Physics, 22.06.2019 10:50

Asubject in a clinical research trial experiences a serious, unanticipated adverse drug experience. how should the investigator proceed, with respect to the irb, after the discovery of the adverse event occurrence? a. do not report the adverse drug experience to the irb since it is a common adverse experience.b. report the adverse drug experience to the irb only if there are several other occurrences.c. report the adverse drug experience as part of the continuing review report.d. report the adverse drug experience in a timely manner, in keeping with the irb's policies and procedures, using the forms or the mechanism provided by the irb.

Answers: 1

Answer

You know the right answer?

Ball 1, with a mass of 100 g and traveling at 10 m/s, collides head-on with ball 2, which has a mass...

Questions