Question

A block with mass m_{1} = 8.8 kg is on an incline with
an angle θ = 40° with respect to the horizontal. For the first
question there is no friction, but for the rest of this problem the
coefficients of friction are: μ_{k} = 0.38 and
μ_{s} = 0.418.

1. When there is no friction, what is the magnitude of the acceleration of the block?

2. Now with friction, what is the magnitude of the acceleration of the block after it begins to slide down the plane?

3. To keep the mass from accelerating, a spring is attached. What is the minimum spring constant of the spring to keep the block from sliding if it extends x = 0.12 m from its unstretched length.

4. Now a new block with mass m_{2} = 16.3 kg is attached
to the first block. The new block is made of a different material
and has a greater coefficient of static friction. What minimum
value for the coefficient of static friction is needed between the
new block and the plane to keep the system from accelerating?

Please include Process!

Answer #1

A block with mass m1 = 8.8 kg is on an incline with
an angle θ = 27° with respect to the horizontal. For the first
question there is no friction between the incline and the
block.
1. When there is no friction, what is the magnitude of the
acceleration of the block?
2. Now with friction, the acceleration is measured to be only a
= 3.52 m/s2. What is the coefficient of kinetic friction
between the incline and the...

A block with mass m1 = 8.6 kg is on an incline with
an angle θ = 29° with respect to the horizontal. For the first
question there is no friction between the incline and the
block.
1)When there is no friction, what is the magnitude of the
acceleration of the block?
2)Now with friction, the acceleration is measured to be only a =
3.42 m/s2. What is the coefficient of kinetic friction
between the incline and the block?
3)To...

A block of mass m = 14.5 kg rests on an inclined plane
with a coefficient of static friction of μs =
0.16 between the block and the plane. The inclined plane is
L = 6.1 m long and it has a height of h = 3.8 m
at its tallest point.
A.What angle, θ in degrees, does the plane make with
respect to the horizontal?
B.What is the magnitude of the normal force,
FN in newtons, that acts on...

4.) Find the accelerations (magnitude and direction) of each of
the following systems. Show your work for credit. [That is at bare
minimum: (i) draw appropriate free body diagrams; (ii) write down
Newton's second law; (iii) solve the resulting equation(s) to find
the acceleration.]
c.) A block of mass 10 kg hanging from a spring with spring
constant ks= 1000 N / m that is attached to the roof of a moving
elevator and is stretched 5 cm beyond its...

(6)
A block of mass M1 resting on a 20.8° slope is shown. The block has
coefficients of friction μs = 0.792 and μk = 0.313 with the
surface. It is connected via a massless string over a massless,
frictionless pulley to a hanging block of mass M2 = 2.02 kg.
(a) What is the minimum mass M1 that will remain stationary
and not slip?
(b) If this minimum mass is nudged ever so slightly, it will
start being pulled...

A 3.00-kg block is sent up a ramp of angle θ equal to 43.0° with
an initial velocity ν0 equal to 23.0 m/s. Between the block and the
ramp, the coeffiient of kinetic friction is μk equal to 0.50 and
the coefficient of static friction is μs equal to 0.80. 1) How far
up the ramp (in the direction along the ramp) does the block go
before it comes to a stop? (Express your answer to two significant
figures.)

A block of mass 16.31 kg is initially held at rest on a 25.94
degree incline. The coefficient of static friction is 0.3472 and
the coefficient of kinetic friction is 0.2083.
A) Find: mg, FDH, FN, fsmax, and fk and express them rounded to
the nearest full Newton.
B) What is the minimum force up the ramp that will keep the
block from sliding down?
C) What is the maximum force up the ramp you can exert before
the block...

A block of mass m = 4.5 kg is attached to a spring with
spring constant k = 610 N/m. It is initially at rest on an
inclined plane that is at an angle of θ = 29° with respect
to the horizontal, and the coefficient of kinetic friction between
the block and the plane is μk = 0.13. In the
initial position, where the spring is compressed by a distance of
d = 0.19 m, the mass is at...

Part A- a box (mass 12.1 kg) sits on a
rough incline that makes an angle α
= 30.2o with the horizontal. A massless string is
tied to the box, runs parallel to the incline, passes over a
massless, frictionless pulley, and is tied to mass M
hanging on the other end. Assume μs = 0.335 is the
coefficient of static friction between the box and the surface of
the plane. Find the maximum value of
M, in kg, for...

A block is at rest on an inclined plane whose elevation can be
varied. The coefficient of static friction is
μs= 0.36, and the coefficient of kinetic
friction is μk = 0.16. The angle of elevation θ
is increased slowly from the horizontal.
At what value of θ does the block begin to slide (in
degrees)?
What is the acceleration of the block?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 2 minutes ago

asked 14 minutes ago

asked 15 minutes ago

asked 34 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago