Question

Consider a collision between two carts, one of mass mA= 5 kg and the otherof mass mB= 7 kg, on a frictionless track. (A). Find the final velocity of Cart A, if both objects are initially moving in opposite directions toward each other at 12 m/s, and Cart B completely stops due to the collision. (B). Is this an elastic or inelastic collision? Why?

Answer #1

a) mass of A=m_{A} = 5 kg

mass of cart B=m_{B}=7 kg

initial velocity of A=12 m/s

initial velocity of B=-12 m/s

initial momentum of system = (5*12)+(7*-12)=-24 kg-m/s

final velocity of cart B=0

Let final velocity of A=v_{A}

From momentum conservation,we get

-24 = 5*v_{A}

v_{A} = -24/5=-4.8 m/s

Therefore, cart A moves in opposite direction at 4.8 m/s

B)Since the cars do not stick to each other after collision, the collision is not inelastic

initial kinetic energy of system =
0.5*5*12^{2}+0.5*7*12^{2} = 864 J

finla kinetic energy of system = 0.5*5*4.8^{2} = 57.6
J

Since the energy is not conserved , the collision is not elastic.

Therefore, the collision is neither elastic nor inelastic

Consider the following two blocks A and B with the mass of
ma= 7 kg and mb = 4 kg.
They are moving in the same direction along the x-axis on a
horizontal frictionless surface with initial velocities
vai= 30 m/s and vbi= 20
m/s. The two blocks collide head-on and there is no change in the
line of motion of either object. If the collision is elastic, find
the final velocity of block A.

Two low-friction physics demo carts collide on a horizontal
track. The first cart, with a mass of 0.150 kg , is moving to the
right with a speed of 0.800 m/s . The second cart, with a mass of
0.298 kg , is moving to the left with a speed of 2.27 m/s . The
carts collide in an elastic collision, such that the total klinetic
energy after the collsion is equal to the total kinetic energy
before the collision....

1.Two identical carts are moving on a frictionless surface with
constant velocity v (cart 1 v cart 2 -v). After they collide
elastically what is their final velocities?
2. Two identical carts are moving on a frictionless surface with
constant velocity v (cart 1 v cart 2 -v). After they collide
inelastically they stick together. What are their final
velocities?
3. Two identical carts are moving on a frictionless surface.
Initially, before coalition cart 1 is moving with constant
velocity...

Two carts are on an air-track where friction is negligible. The
Incident Cart is moving at an initial velocity of 0.44374 m/s, the
target cart is at rest. The Incident cart has a mass of 490.3 g and
the target cart has a mass of 497.4 g. The final velocity of the
incident cart is 0.043994 m/s and the final velocity of the target
cart is 0.001001 m/s. The collision is elastic.
a) What is the Initial Momentum of the...

Two carts are on an air-track where friction is negligible. The
Incident Cart is moving at an initial velocity of 0.25080m/s, the
target cart is at rest. The Incident cart has a mass of 995.8 g and
the target cart has a mass of 490.3 g. The carts stick together,
the final velocity after collision is 0.077302 m/s. The collision
is considered inelastic.
a) What is the Initial Momentum of the carts?
b) What is the Final Momentum of the...

A cart of mass m traveling to the right on a frictionless
track with a speed of 4v0 collides with another cart of mass 2M
traveling to the left with speed v0. If the collision is perfectly
elastic, and carts travel in opposite directions after the
collision, determine the speeds of the two carts immediately after
the collision in terms of m and v0.

Two carts are rolling to the right along the same level track.
Cart 1 (m1 = 3.81 kg) is in the rear, rolling at a speed of 6.25
m/s and catching up to cart 2, rolling at 3.07 m/s.
Round final results to 3 digits.
a) Cart 1 of course overtakes and collides with cart 2. Velcro
pads on the carts make them stick together during the collision,
after which they both continue rolling right, but at a speed of...

Consider the following special cases of collisions. In all
cases, a cart of m1m1 comes in with a velocity vv and hits a cart
m2m2 at rest. Most of these are answerable with either intuition or
with mathematics. What are the final velocities of both carts
if:
a. The collision is elastic, and both carts are the same mass?
(First collision playing marbles or pool)
b. The collision is inelastic, and both carts are the same mass?
(Young child tackles...

Two carts of mass 50 kg have a collision. Before the collision,
the first cart was travelling to the right at 4 m/s, and the 2nd
cart was travelling to the left at 3 m/s. After the collision, the
carts stick together. a) 10 pts What is the velocity of the carts
immediately after the collision? b) 6 pts How much kinetic energy
was lost in the collision? Where did this energy go? c) 10 pts
After the carts have...

Billiard ball A of mass mA = 0.130 kg moving with speed vA =
2.65 m/s strikes ball B, initially at rest, of mass mB = 0.140 kg .
As a result of the collision, ball A is deflected off at an angle
of 30.5 ∘ with a speed vA1 = 2.35 m/s .
C.) Solve for the speed, vB1, of ball B. Do not assume the
collision is elastic.
D.) Solve for the angle, θB, of ball B. Do...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 3 minutes ago

asked 5 minutes ago

asked 7 minutes ago

asked 9 minutes ago

asked 10 minutes ago

asked 10 minutes ago

asked 14 minutes ago

asked 19 minutes ago

asked 20 minutes ago

asked 29 minutes ago

asked 31 minutes ago