Question

1.
Assume the cart has a mass of m, and that the carts are oriented so
that their velcro bumpers face each other. one of the carts is
placed on middle of the track and the other on the far left of the
track. suppose you push the cart gently on the left side toward the
cart at rest so that the carts collide.

mass of cart is .05123 kg

a) if the velocity of the moving cart is v will both of the
carts move after the impact? What is the expected velocity of both
carts after the impact?

b) determine the joint velocity of both carts after the
impact? use conservation of momentum.

c) sketch the graphs of the momentum of each cart before and
after the collision label t0 when the carts collide (domain
t>0)

d) determine the percent of the system's kinetic energt lost
at the impact

Answer #1

mass of each cart m = 0.05123 kg

speed of left cart v m/s

right cart at rest v =0

Total momentum before collision = mv = 0.05123*v kg-m/s

momentum is conserved during the collision

momentum after collision = 0.05123 v

mass of both carts together = 0.05123 *2 = 0.10246 kg

speed of the combined cars after collision = 0.05123 v /0.010246 = v/2 m/s

KE before collision = 1/2 mv^{2}

KE after collision = 1/2 * (2m) * (v/2)^{2} = 1/4
mv^{2}

KE lost in the collision = 1/4 mv^{2}

= 50 %

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....

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...

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.

Imagine two carts of equal mass (m = 1.0 kg) collide. If cart
one is initially moving at 10 m/s and the other cart is stationary,
calculate the final speed of each mass after they have a 100%
elastic collision. Please show all work!

Did an expiment in which a light cart collided into a heavy cart
and vice versa to be an elastic collision. we then did the same but
with velcro so it was an inelastic collision
Do you need to take into account the direction of the
velocities of the carts before and after the collision when you
calculate Kinetic energy? Why or why not?
Assume that you will do the elastic collision heavy into
the light cart experiment one more...

Two identical carts, each with a mass of 150-g, collide while
moving on a surface. Initially, cart 1 moves at +2.2 m/s and cart 2
moves at +4.2 m/s. After the collision, cart 1 is moving at +3.9
m/s while cart 2 moves at +2.0 m/s. a. Draw a Momentum Diagram for
the collision. b. Determine the momentum of each cart before and
after the collision. c. Determine the total momentum before and
after the collision. d. Was momentum conserved...

A red cart with a mass of 250 g is initially moving east at 2.25
m/s. It collides with a blue cart with a mass of 350 g that is
initially moving west at 0.750 m/s. After the collision the kinetic
energy of the two carts together is 0.200 J more than before the
collision, because the spring plunger of one of the carts pushes
them apart during the collision. After the collision, the two carts
are still moving along...

Mazur 9.40: Two identical 0.50 kg carts, each 0.10 m long, are
at rest on a low-friction track and are connected by a spring that
is initially at its relaxed length of 0.50 m and is of negligible
inertia. You give the cart on the left a push to the right (that
is, toward the other cart), exerting a constant 5.0-N force. You
stop pushing at the instant when the cart has moved 0.40 m. At this
instant, the relative...

There are 2 carts that start moving in opposing direction, the
first cart going rights has a mass of 2.55kg at a velocity of 3.16,
the second cart has an unknown mass going at a velocity of 5.03
m/s, in the left direction. When they hit each other, both carts
stick together, and both have a velocity of 1.45 m/s in the same
direction as the first cart was going.
The repulsive force between the carts?
Mass of the second...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 11 minutes ago

asked 28 minutes ago

asked 39 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago