Question

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 each block when they travel on the ground for 5.0 m.

Answer #1

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...

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.

A mass m1 = 5.2 kg rests on a frictionless table and connected
by a massless string to another mass m2 = 5.2 kg. A force of
magnitude F = 38 N pulls m1 to the left a distance d = 0.83 m.
1) How much work is done by the force F on the two block
system?
2) How much work is done by the normal force on m1 and m2?
3) What is the final speed of 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 of mass m1 = 2 kg and m2 = 1 kg are suspended over a
pulley of mass M with a string of neglible mass. The pulley is a
solid cylinder of radius R = 4 cm. The string does not slip on the
pulley, which is a solid cylinder. The magnitude of downward
accleration of mass m1 is measured to be a = g/4.
A) Write down Newton's second law for m1, m2, and M using 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 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.

An Atwood's machine consists of blocks of masses
m1 = 12.0 kg
and
m2 = 22.0 kg
attached by a cord running over a pulley as in the figure below.
The pulley is a solid cylinder with mass
M = 7.60 kg
and radius
r = 0.200 m.
The block of mass m2 is allowed to drop, and
the cord turns the pulley without slipping.
Two objects, blocks labeled m1 and
m2, are connected to a cord which is hung...

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 of masses
m1 = 1.50 kg
and
m2 = 3.00 kg
are each released from rest at a height of
h = 4.40 m
on a frictionless track, as shown in the figure below, and
undergo an elastic head-on collision. (Let the positive direction
point to the right. Indicate the direction with the sign of your
answer.)
(a) Determine the velocity of each block just before the
collision.
(b) Determine the velocity of each block immediately after the...

Two blocks of masses m1 = 1.95 kg and m2 = 3.90 kg are each
released from rest at a height of h = 6.00 m on a frictionless
track, as shown in the figure below, and undergo an elastic head-on
collision. (Let the positive direction point to the right. Indicate
the direction with the sign of your answer.) Two blocks are on a
curved ramp similar in shape to a half-pipe. There is a flat
horizontal surface with opposite...

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