Question

First, the speed of the car must be found and then solve the problem

A 86.3 kg cart travels at constant speed, and its four wheels are rolling without slipping. The wheels are disks (radius 0.254 m, mass 5.79 kg), and they turn at constant ω = 36.9 rad/s. Find the total kinetic energy of the cart.

Answer #1

A 15.4 kg cart travels at constant speed, and its four wheels
are rolling without slipping. The wheels are disks (radius 0.761 m,
mass 1.39 kg), and they turn at constant ω = 15.5 rad/s. Find the
total kinetic energy of the cart.
NOTE: first, you must find the speed of the cart!

A 44.3 kg cart travels at constant speed, and its four wheels
are rolling without slipping. The wheels are disks (radius 0.88 m,
mass 8.69 kg), and they turn at constant ω = 40.2 rad/s. Find the
total kinetic energy of the cart. NOTE: first, you must find the
speed of the cart!

A 99.1 kg cart travels at constant speed, and its four wheels
are rolling without slipping. The wheels are disks (radius 0.613 m,
mass 3.7 kg), and they turn at constant ω = 85.3 rad/s.
Find the total kinetic energy of the cart.
NOTE: first, you must find the speed
of the cart!

QUESTION 13
A chimney (length 13.4 m, mass 648 kg] cracks at the base and
topples. Assume:
- the chimney behaves like a thin rod, and does not break apart
as it falls.
- only gravity (no friction) acts on the chimney as it
falls.
- the bottom of the chimney pivots, but does not move.
Find the linear speed of the center of mass of the chimney, in
m/s, just as it hits the ground.
QUESTION 15
A 75.1 kg...

Problem 4. Two carts are released simultaneously from rest at
the top of a ramp of height 3.0 m, and they roll without slipping
to a finish line at the bottom. Each cart has four wheels which are
uniform disks of mass .50 kg. Cart A has total mass 10.0 kg
(including the wheels) and each of its wheels have radius 4.0 cm.
Cart B has the same total mass as cart A but its wheels have double
the mass...

A car has a mass of 2630 kg. The mass of the wheel is 6kg. The
mass of the tire is 25 kg. The radius of the wheel is 0.4 meters,
and the radius of the tire is 0.2 meters.
Assuming that the shape of the wheels is a solid cylindrical
disc, determine the moment of inertia of the wheel. And assuming
that the shape of the tire is a thin cylinder shell, determine the
moment of inertia of the...

Mechanics question:
A car has a mass of 2630 kg. The mass of the wheel is 6kg. The
mass of the tire is 25 kg. The radius of the wheel is 0.4 meters,
and the radius of the tire is 0.2 meters.
Assuming that the shape of the wheels is a solid cylindrical
disc, determine the moment of inertia of the wheel. And assuming
that the shape of the tire is a thin cylinder shell, determine the
moment of inertia...

A 17.0-kg minivan tire is rolling without slipping with a speed
of 5.25 m/s. The tire has a radius of 43.2 cm. Approximate the tire
as a disk. Calculate the angular speed, the rotational kinetic
energy, and the total kinetic energy of the tire.

7. We found that if a cue ball, rolling without slipping
at speed v0, strikes an identical, stationary billiard ball
head-on, eventually both balls will
roll without slipping. The balls are uniform solid spheres, each
of mass m, radius r, and
moment of inertia I =2/5 m r^2 about its center. The final speed
of the target ball is 5/7 *v0 ; that
of the cue ball is 2/7 v0. Calculate the total fraction of the
initial kenetic energy of...

QUESTION 27
A uniform disk of radius 0.40 m and mass 31.0 kg rolls on a
plane without slipping with angular speed 3.0 rad/s. The rotational
kinetic energy of the disk is __________. The moment of inertia of
the disk is given by 0.5MR2.

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