Question

Two blocks of mass m1 = 9.20 kg and m2 are connected by a light string. When a horizontal force F = 105 N is applied to m1 as shown in the figure below, the acceleration of the system is 3.20 m/s2 towards the left and the tension in the string connecting the two blocks is 62.0 N. The blocks are moving on a rough surface with an unknown coefficient of kinetic friction. Determine the coefficient of kinetic friction between the blocks and the surface, and the mass m2 of the second block. Include a free-body diagram for each block as part of your solution.

Answer #1

7) A block of mass m1 = 38 kg on a
horizontal surface is connected to a mass m2 =
21.6 kg that hangs vertically as shown in the figure below. The two
blocks are connected by a string of negligible mass passing over a
frictionless pulley. The coefficient of kinetic friction between
m1 and the horizontal surface is 0.24.
(a) What is the magnitude of the acceleration (in
m/s2) of the hanging mass?
Answer: m/s2
(b) Determine the...

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 blocks (m1=5.5kg, m2=7.2kg
) are connected by a string that passes through a massless pulley
as shown in the Figure. The first block with mass
m1 slides up the inclined
plane when the system is released. The inclined plane makes an
angle θ = 310 with the
horizontal and the kinetic friction coefficient between the
inclined plane and m1 is
=0.35. Take g=10m/s2 Find
the speed of the block with mass m2 after it travels
h=5.6m.

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.

Objects with masses m1 = 12.0 kg and
m2 = 8.0 kg are connected by a light string
that passes over a frictionless pulley as in the figure below. If,
when the system starts from rest, m2 falls 1.00
m in 1.48 s, determine the coefficient of kinetic friction between
m1 and the table.
Express the friction force in terms of the coefficient of kinetic
friction. Obtain an expression for the acceleration in terms of the
masses and the...

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.

Two blocks are connected by a massless string that runs across a
frictionless pulley with a mass of 5.00 kg and a radius of 10.0 cm.
The first block with an unknown mass of m1 sits on a horizontal
surface and is also connected to a spring with a spring constant of
k = 250 N/m. The coefficient of kinetic friction between the first
block and the surface is 0.400. The second block with a mass of m2
= 6.00...

In the figure below the two blocks are connected by a string of
negligible mass passing over a frictionless pulley.
m1 = 10.0 kg and m2 = 5.50
kg and the angle of the incline is θ = 39.0°. Assume that
the incline is smooth. (Assume the +x direction is down
the incline of the plane.)
(a)
With what acceleration (in m/s2) does the mass
m2 move on the incline surface? Indicate the
direction with the sign of your answer....

Two masses m1 = 5 kg and m2 = 3 kg are connected by a
light rope dropped over a pulley as shown in the figure
a) Neglecting friction, what is the acceleration of these
masses?
b) What is the tension of the rope?
c) What will be the acceleration if the coefficient of friction for
the mass m1 is μk = 0.4?

Two blocks of mass m1 (3.0 kg) and m2 (4.0 kg) on a leveled
ground (Muk=0.25) are connected via a rigid light string. A
constant force of 40.0 N is pulling on m1 forward with an angle of
30.0 degrees with respect to the ground.
draw a free body diagram of each block,
find the acceleration of the blocks,
calculate the work done by each force on m1 and m2,
use work and Kinetic theory to find the speed of...

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