Question

You have a mass at the top of a frictionless 85 cm ramp that has been raised to an angle of 30° above the horizontal. Do the following and be sure to show your work: a. Find the speed of the mass when it reaches the bottom of the ramp if it starts from rest. (Hint: this can be done with either the kinematics equations or conservation of energy.) b. Once the mass reaches the bottom of the ramp, it slides horizontally off the edge of a table. Find the time it takes for the mass to reach the ground 1.2 m below, measured from the moment it leaves the table. (Hint: this can be done with the kinematics equations.)

Answer #1

Use energy conservation principle and equation of kinematics for
vertical motion for the second part where downward direction is
taken as positive to find the required speed and time as shown
below.

10 kg point mass located at the top of a 1.50 m inclined ramp
that is without friction. The ramp makes a 30 degree angle with the
horizontal. The bottom half of the ramp is on a table and is 0.66 m
above the ground.
When mass is released from rest, it slides down the ramp (
a=4.9 m/s2 ) & off the table, then goes through the air until
it hits the ground. (table & ramp don't move) The...

An object with a mass m = 3.5 kg is released from rest at the
top of the ramp. The length of the ramp is 4 m. The object slides
down the ramp reaching a speed of 1.8 m/s at the bottom.
(a) How much time (in sec) does it take the object to reach the
bottom of the ramp? (use kinematics equations)
(b) What is the acceleration of the object (in m/s2 )? (use
kinematics equations)
(c) If the...

A block of mass 19.6 kg starts at rest at the top of a
frictionless ramp that makes an angle of 36.2 ^\circ ∘ below the
horizontal. After it slides without friction down the entire 2.89 m
length of the ramp, it begins to slide horizontally along a rough
concrete surface with a coefficient of kinetic friction of
\mu_kμ k = 0.503 until it slows to a complete
stop. How far does the block slide horizontally along the concrete
before...

Set the ground level as zero gravitational potential energy. Use
conservation of energy to solve for the final velocity of the
sliding block on the frictionless surface (it will be a function of
the incline height, ℎ). Note: the block starts from rest. Show your
work below or on your own separate page.
3 5. Using conservation of energy, solve for the final
translational velocity of the center of mass, ?, of a rolling
object with moment of inertia, ?,...

Video text description for the Direct Measurement Video of
Dry-Ice Levitated Puck on a Ramp
In this video, a puck made out of dry ice is at the top of a
ramp. At the bottom of the ramp is a spring, aligned parallel with
the ramp. A scale marked off in centimeters overlays the video,
also aligned parallel with the ramp, and a protractor indicates
that the angle of the ramp is approximately 22 degrees. The video
is recorded at...

A block of mass m = 3.3 kg is on an inclined plane with
a coefficient of friction μ1 = 0.39, at an
initial height h = 0.53 m above the ground. The plane is
inclined at an angle θ = 44°. The block is then compressed
against a spring a distance Δx = 0.13 m from its
equilibrium point (the spring has a spring constant of
k1 = 35 N/m) and released. At the bottom of the
inclined plane...

Learning Goal:
To understand how to apply the law of conservation of energy to
situations with and without nonconservative forces acting.
The law of conservation of energy states the following:
In an isolated system the total energy remains constant.
If the objects within the system interact through gravitational
and elastic forces only, then the total mechanical energy
is conserved.
The mechanical energy of a system is defined as the sum of
kinetic energy K and potential energy
U. For such...

A hanging weight, with a mass of m1 = 0.355
kg, is attached by a rope to a block with mass
m2 = 0.845 kg as shown in the figure below. The
rope goes over a pulley with a mass of M = 0.350 kg. The
pulley can be modeled as a hollow cylinder with an inner radius of
R1 = 0.0200 m, and an outer radius of
R2 = 0.0300 m; the mass of the spokes is
negligible. As...

do all five questions
Question 1
20 pts
Ignoring the effects of air resistance, if a ball falls freely
toward the ground, its total mechanical energy
Group of answer choices
increases
remains the same
not enough information
decreases
Flag this Question
Question 2
20 pts
A child jumps off a wall from an initial height of 16.4 m and lands
on a trampoline. Before the child springs back up into the air the
trampoline compresses 1.8 meters. The spring constant...

ch 6
1:
It is generally a good idea to gain an understanding of the
"size" of units. Consider the objects and calculate the kinetic
energy of each one.
A ladybug weighing 37.3 mg
flies by your head at 3.83 km/h
.
×10
J
A 7.15 kg
bowling ball slides (not rolls) down an alley at 17.5 km/h
.
J
A car weighing 1260 kg
moves at a speed of 49.5 km/h.
5:
The graph shows the ?-directed force
??...

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