Question

a)A 0.05 kg mass is used to accelerate a cart. At t=1 second,
the 0.5 kg cart is at x=0.5 m, at rest. At t=2.5 seconds, the cart
is at 1.5 m, traveling at 1.3 ± 0.3 m/s. Calculate and compare the
impulse with the total change in momentum of the cart and mass.
(Read the theory and sections 1.5 through 1.7 if you’re not sure
how to do this.)

b) What would be the effect of air resistance and friction on
the final velocity and momentum of the cart?

c) If a cart of mass 1.2 kg, traveling at 0.5 m/s, collides
elastically with a cart of mass 0.7 kg, initially at rest, what is
the final velocity of the first cart?

d) If the two carts above stick together after the collision,
what is the final velocity of the first cart?

e) What is the final velocity of the first cart in (c) if the
second cart has mass 1.8 kg?

f) What is the final velocity of the first cart in (d) if the
second cart has mass 1.8 kg?

Answer #1

A cart of mass 500 kg experiences an impulse of 11N * s.
Afterwards the cart is seen to move with a velocity of 12 m/s and
is moving to the left.
a. What is the final momentum of the cart (remember the
signs!)?
b. What is the carts initial momentum and initial velocity
(Again, remember your signs!!)?

A 2.9-kg cart is rolling along a frictionless, horizontal track
towards a 1.7-kg cart that is held initially at rest. The carts are
loaded with strong magnets that cause them to attract one another.
Thus, the speed of each cart increases. At a certain instant before
the carts collide, the first cart's velocity is +4.3 m/s, and the
second cart's velocity is -2.8 m/s. (a) What is
the total momentum of the system of the two carts at this instant?...

A 2.9-kg cart is rolling across a frictionless, horizontal track
toward a 1.4-kg cart that is held initially at rest. The carts are
loaded with strong magnets that cause them to attract one another.
Thus, the speed of each cart increases. At a certain instant before
the carts collide, the first cart's velocity is +4.3 m/s, and the
second cart's velocity is −1.9 m/s.
(Indicate the direction with the sign of your answer.)
(a) What is the total momentum of...

a cart of mass m traveling on a horizontal air track with a
speed of ov vo=5.0 m/s collides with a stationary cart of mass 3m.
the carts stick together after the collision. What is the speed of
the carts after the collision?

A 2.002.3-kg cart is rolling across a frictionless, horizontal
track toward a 0.601.5-kg cart that is held initially at rest. The
carts are loaded with strong magnets that cause them to attract one
another. Thus, the speed of each cart increases. At a certain
instant before the carts collide, the first cart’s velocity is 4.80
14.5 m/s, and the second cart’s velocity is 1.9021.9 m/s. What was
the velocity of the first cart when the second cart was still at...

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...

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...

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...

2 air carts collide and stick together. cart one is M1
= 0.755 kg and initial speed of 0.435 m/s the cart to right is
initially at rest with mass m2= 0.300kg.
a.find the velocity of the center of mass before the carts Collide
and stick together
b. find the velocity of the center of mass after the carts Collide
and stick together
c. find the kinetic energy of the system before and after the
Collision

A runaway rail cart with mass 5000kg traveling on a horizontal
frictionless track with 100ms-1velocity collides with a
similar cart at rest but free to move(no brakes
on). Upon the collision, the two carts attached together (coalesce)
and travel together. Calculate the final velocity of the two carts
system.

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