Question

Part a.

Starting from rest, a 14 kg box slides down a frictionless incline
that is 7 meters tall. What is the velocity of the box at the
bottom of the incline?

Part b.

A thin hoop of mass 14 kg and radius 1.2 m rolls down an incline
that is 7 meters tall. What is the velocity of the thin hoop at the
bottom of the incline?

Part c.

A solid disk of mass 14 kg and radius 1.2 m rolls down an incline
that is 7 meters tall. What is the velocity of the solid disk at
the bottom of the incline?

Answer #1

A 9.0-kg box of oranges slides from rest down a frictionless
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introduced at point A, brings the block to rest at point B. If the
coefficient of kinetic friction is 0.26, what is the distance
between A and B?

starting at rest, a mass of 2.50 kg slides down an incline of
65.0 degrees. If the coefficient of kinetic friction is know to be
0.435, what is the speed of the mass after slinging 2.50 m down the
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A solid cylinder rolls without slipping down an incline starting
from rest. At the same time a box starts from rest at the same
altitude and slides down the same incline with negligible friction.
Which arrives at the bottom first?
A. It is impossible to determine.
B. the box
C. the cylinder
D. Both arrive at the same time.

A 10 kg box slides down a long, frictionless incline of angle
30°. It starts from rest at time t = 0 at the top of the
incline at a height of 18 m above ground.
(a) What is the original potential energy of the box relative to
the ground?
---J
(b) From Newton's laws, find the distance the box travels in 1 s
and its speed at t = 1 s.
---m
---m/s
(c) Find the potential energy and...

A block of mass 13.0 kg slides from rest down a frictionless
39.0° incline and is stopped by a strong spring with
k = 2.70 ✕ 104 N/m. The block slides
3.00 m from the point of release to the point where it comes to
rest against the spring. When the block comes to rest, how far has
the spring been compressed?
m

Problem 4
A hoop and a solid disk both with Mass (M=0.5 kg) and radius (R=
0.5 m) are placed at the top of an incline at height (h= 10.0 m).
The objects are released from rest and rolls down without
slipping.
a) The solid disk reaches to the bottom of the inclined plane
before the hoop. explain why?
b) Calculate the rotational inertia (moment of inertia) for the
hoop.
c) Calculate the rotational inertia (moment of inertia) for the...

A 5.0 kg box slides down a 5.0 m high frictionless hill,
starting from rest, across a 2.0 m wide horizontal surface, then
hits a horizontal spring with spring constant 500 N/m. The ground
under the spring is frictionless, but the 2.0 m wide horizontal
surface is rough with a coefficient of kinetic friction of
0.25.
a. What is the speed of the box just before reaching the rough
surface?
b. What is the speed of the box just before...

1.A small block of mass 3.5 kg starting from rest slides down on
an incline plane of height 2.0 m, 40 degrees with respect to
horizontal (Fig. 2). The coefficient of kinetic friction between
the block and the incline plane is 0.25. At the end of the incline
plane, the block hits the top of a hemispherical mound of ice
(radius 1.0 m) , loses 75% of final kinetic energy (KE=0.5mv*v)
before the collision, then slide down on the surface...

A uniform solid disk of mass 2.20 kg and diameter 50.0 cm starts
from rest and rolls without slipping down a 30.0 ? incline that is
5.25 m long. g = 9.81 m/s2 .
(a) Calculate the linear speed of the center of the disk when it
reaches the bottom of the incline.
(b) Determine the angular speed of the disk about its center at
the bottom of the incline.
(c) Through what angle (in radians) does this disk turn...

A 4.5 kg box slides down a 4.8-m -high frictionless hill,
starting from rest, across a 2.0-m -wide horizontal surface, then
hits a horizontal spring with spring constant 520 N/m . The other
end of the spring is anchored against a wall. The ground under the
spring is frictionless, but the 2.0-m-long horizontal surface is
rough. The coefficient of kinetic friction of the box on this
surface is 0.24.
Part A
What is the speed of the box just before...

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