Question

Two masses are connected by a massless string, passing over a
massless, frictionless pulley as shown in the diagram. Mass
*m*_{1} = 5 kg, and is released from rest at a
height *h* = 4 m above the table. Mass
*m _{2}* = 3 kg, and starts at rest on the table.
Ignore friction and air resistance. Take the system to be the two
masses and the earth. What is the potential energy of this system,
in Joules? Next, you let go of the masses. What is the speed of the
two masses when

Answer #1

Two masses are connected by a light string passing over a
light, frictionless pulley, as shown in the figure below. The
object of mass m1 is released from rest at height h above the
table. Use the isolated system model to answer the following. (We
assume m1 > m2.)
(a) Determine the speed of m2 just as m1 hits the ground. (Use
any variable or symbol stated above along with the following as
necessary: g.)
v =
(b) Find the...

Two masses are connected by a massless string and a frictionless
pulley. The masses of the blocks are; m1=500 g and m2= 150g. The
coefficiant of friction between m1 and the surface is 0.25. (a)
What is the acceleration of the masses? (b) What is the tension in
the string?

Two masses are connected by a light string passing over a light,
frictionless pulley as in Figure P5.63. The m1
= 4.75 kg object is released from rest at a point 4.00 m above the
floor, where the m2 = 3.20 kg object rests.
Please define all variables in solving
(a) Determine the speed of each object when the two pass each
other.
(b) Determine the speed of each object at the moment the 4.75 kg
mass hits the floor....

Two blocks with masses M1 and M2 are connected by a massless
string that passes over a massless pulley as shown. M1 has a mass
of 2.25 kg and is on an incline of 49.5° with coefficient of
kinetic friction ?1 = 0.205. M2 has a mass of 5.45 kg and is on an
incline of 31.5° with coefficient of kinetic friction ?2 = 0.105.
Find the magnitude of the acceleration of M2 down the incline.

Two blocks with masses M1 and M2 are connected by a massless
string that passes over a massless pulley as shown.
M1 has a mass of 2.25 kg and is on an incline of θ1=46.5∘ with
coefficient of kinetic friction μ1=0.205.
M2 has a mass of 6.05 kg and is on an incline of θ2=33.5∘ with
coefficient of kinetic friction μ2=0.105.
The two‑block system is in motion with the block of mass M2
sliding down the ramp.
Find the magnitude...

Two masses, m1 and m2 hang over a frictionless pulley by means
of a massless string. They are perfectly balanced when a flea of
mass m3 is standing on m2. When the flea hops from one mass to the
other, the system acquires an acceleration, a. What is the value of
the flea's mass, m3 in terms of two masses, m1 and m2, and the
acceleration, a? (a) what is m3 in terms of m1 and m2? (b) what is...

Two masses
are connected to one another with a massless rope that passes over
a massless and frictionless pulley as shown in the figure below.
When the two mass system is released from rest, the hanging
mass
m2
= 31.5 kg
accelerates upward at a rate of 2.3 m/s2.
The coefficient of kinetic friction between
m1
and the
incline is 0.08, and the angle of inclination of the ramp is 57
degrees. For the entirety of this problem, air resistance...

Two blocks are connected by a string that passes over a
massless, frictionless pulley, as shown in the figure. Block A,
with a mass mA = 2.00 kg, rests on a ramp
measuring 3.0 m vertically and 4.0 m horizontally. Block B hangs
vertically below the pulley. Note that you can solve this exercise
entirely using forces and the constant-acceleration equations, but
see if you can apply energy ideas instead. Use g = 10
m/s2. When the system is released...

Two masses M1 and M2 are connected by an inextensible
flexible massless string. The mass rests on a table with frictional
co-efficient 0.2. The string passes over a smooth fixed pulley as
shown. Initially the string is slack The mass M2 is allowed to fall
freely from rest. The string becomes taught when the mass M2 falls
through 50 cm. The two masses subsequently move with common
velocity. Determine how far mass M1 will travel on the table before
coming...

Two blocks with masses m1 = 1.10 kg and m2 = 3.50 kg are
connected by a massless string. They are released from rest. The
coefficent of kinetic friction between the upper block and the
surface is 0.440. Assume that the pulley has a negligible mass and
is frictionless, and calculate the speed of the blocks after they
have moved a distance 68.0 cm.

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