Question

QUESTION 6

An uncovered hopper railcar with a mass of 40000 kg is rolling
along a horizontal frictionless track. At the instant the speed of
the railcar is 5 m/s it starts to rain heavily and the railcar
begins to collect rainwater at a rate of 2.5 kg/sec. What distance
(**in km**) will the car have travelled during the
first hour of rain?

Answer #1

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?...

The car of an amusement park ride with mass m=90 kg slides along
a track that we can consider as frictionless. Initially it is at
position A at a height 11.6 m above the ground and moving with
speed 4.0 m/s. It moves through a valley and over a second hill at
position B at a height 7.3 m above the ground. Find the speed of
the car when it is at position B.

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...

A hollow sphere (mass 8.8 kg, radius 54.8 cm) is rolling without
slipping along a horizontal surface, so its center of mass is
moving at speed vo. It now comes to an incline that makes an angle
56o with the horizontal, and it rolls without slipping up the
incline until it comes to a complete stop. Find a, the magnitude of
the linear acceleration of the ball as it travels up the incline,
in m/s2.

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 block of mass 0.630 kg is pushed against a horizontal spring
of negligible mass until the spring is compressed a distance x. The
force constant of the spring is 450 N/m. When it is released, the
block travels along a frictionless, horizontal surface to point
circled A, the bottom of a vertical circular track of radius R =
1.00 m, and continues to move up the track. The speed of the block
at the bottom of the track is...

A mass m = 13 kg is pulled along a horizontal floor, with a
coefficient of kinetic friction μk = 0.07, for a
distance d = 5.1 m. Then the mass is continued to be pulled up a
frictionless incline that makes an angle θ = 33° with the
horizontal. The entire time the massless rope used to pull the
block is pulled parallel to the incline at an angle of θ = 33°
(thus on the incline it is...

A mass m = 12 kg is pulled along a horizontal floor with NO
friction for a distance d =7.2 m. Then the mass is pulled up an
incline that makes an angle θ = 30° with the horizontal and has a
coefficient of kinetic friction μk = 0.49. The entire
time the massless rope used to pull the block is pulled parallel to
the incline at an angle of θ = 30° (thus on the incline it is
parallel...

A mass m = 12 kg is pulled along a horizontal floor with NO
friction for a distance d =7.2 m. Then the mass is pulled up an
incline that makes an angle θ = 30° with the horizontal and has a
coefficient of kinetic friction μk = 0.49. The entire
time the massless rope used to pull the block is pulled parallel to
the incline at an angle of θ = 30° (thus on the incline it is
parallel...

A solid sphere ( of mass 2.50 kg and radius 10.0 cm) starts
rolling without slipping on an inclined plane (angle of inclination
30 deg). Find the speed of its center of mass when it has traveled
down 2.00 m along with the inclination.
Groups of choices:
a. 3.13 m/s
b. 4.43 m/s
c. 3.74 m/s
d. 6.26 m/s

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