Question

A sledge loaded with bricks has a total mass of 18.1 kg and is pulled at constant speed by a rope inclined at 19.5° above the horizontal. The sledge moves a distance of 19.8m on a horizontal surface. The coefficient of kinetic friction between the sledge and surface is 0.500.

(a) What is the tension in the rope?

N

(b) How much work is done by the rope on the sledge?

kJ

(c) What is the mechanical energy lost due to friction?

kJ

Answer #1

here,

total mass , m = 18.1 kg

theta = 19.5 dgeree

s = 19.8 m

uk = 0.5

let the tension in the rope be T

equating the forces vertically

N = m * g- T * sin(theta)

equating the forces horizontally

T * cos(theta) = uk * N

T * cos(19.5) = 0.5 * ( 18.1 * 9.81 - T * sin(19.5))

solving for T

T = 80 N

the tension in the string is 80 N

b)

the work is done by the rope on the sledge , W = T * s * cos(theta)

W = 80 * 19.8 * cos(19.5) = 1493.1 J = 1.49 KJ

c)

the mechanical energy lost due to friction , ME = uk * N * s

ME = 0.5 * ( 18.1 * 9.81 - 80 * sin(19.5)) * 19.8 J

ME = 1493 J = 1.49 KJ

a sledge loaded with bricks has a total mass of 18.3 kg and is
pulled at a constant speed by a rope inclined at 20.5 degrees above
the horizontal. The sledge moves a distance of 19.1 m on a
horizontal surface. The coefficient of kinetic friction between the
sledge and surface is 0.500
a. what is the tension in the rope?
N
b. how much work is done by the rope on the sledge?
kJ
c. what is the mechanical...

a sledge loaded with bricks has a total mass of 18.3 kg and is
pulled at a constant speed by a rope inclined at 20.5 degrees above
the horizontal. The sledge moves a distance of 19.1 m on a
horizontal surface. The coefficient of kinetic friction between the
sledge and surface is 0.500
a. what is the tension in the rope?
N
b. how much work is done by the rope on the sledge?
kJ
c. what is the mechanical...

A mass m = 13 kg is pulled along a horizontal floor, with a
coefficient of kinetic friction μk = 0.07, for a
distance d = 5.1 m. Then the mass is continued to be pulled up a
frictionless incline that makes an angle θ = 33° with the
horizontal. The entire time the massless rope used to pull the
block is pulled parallel to the incline at an angle of θ = 33°
(thus on the incline it is...

A mass m = 12 kg is pulled along a horizontal floor with NO
friction for a distance d =7.2 m. Then the mass is pulled up an
incline that makes an angle θ = 30° with the horizontal and has a
coefficient of kinetic friction μk = 0.49. The entire
time the massless rope used to pull the block is pulled parallel to
the incline at an angle of θ = 30° (thus on the incline it is
parallel...

A mass m = 12 kg is pulled along a horizontal floor with NO
friction for a distance d =7.2 m. Then the mass is pulled up an
incline that makes an angle θ = 30° with the horizontal and has a
coefficient of kinetic friction μk = 0.49. The entire
time the massless rope used to pull the block is pulled parallel to
the incline at an angle of θ = 30° (thus on the incline it is
parallel...

A tension force of 155 N inclined at 35.0° above the horizontal
is used to pull a 27.0 kg packing crate a distance of 4.60 m on a
rough surface. If the crate moves at a constant speed, find (a) the
work done by the tension force and (b) the coefficient of kinetic
friction between the crate and surface.
(a) the work done by the tension force (in J)
(b)the coefficient of kinetic friction between the crate and
surface

A box with mass 1.74 kg is being pulled across a rough surface
at a constant speed with a coefficient of kinetic friction
µk = 0.366. The pulling force has a magnitude of 11.2 N
and is directed at an angle 32.8 degrees above horizontal. If the
box is dragged a distance of 10.3 m, what is the total energy lost
to friction? (Hint: be sure to account for the upward component of
the pulling force, and note that the...

A crate of mass 9.6 kg is pulled up a rough incline with an
initial speed of 1.40 m/s. The pulling force is 98 N parallel to
the incline, which makes an angle of 19.5° with the horizontal. The
coefficient of kinetic friction is 0.400, and the crate is pulled
4.98 m.
(a) How much work is done by the gravitational force on the
crate?
J
(b) Determine the increase in internal energy of the crate–incline
system owing to friction....

A 10 kg box was lying on a smooth surface. A
rope was connected to the box. The box was pulled by the rope at
angle of 30° with the
horizontal. What applied force will keep the box
moving upward at a constant speed?
A 10 kg box was resting on an inclined rough
surface, which makes an angle of
30° with the horizontal. The
coefficient of kinetic friction between the surface and the box is
0.4. The box was...

A 7.8 kg crate is pulled 5.4 m up a 30o incline by a
rope angled 19o above the incline. The tension in the
rope is 120 N and the crate's coefficient of kinetic friction on
the incline is 0.24.
a) How much work is done by tension, by gravity, and by the
normal force?
b) What is the increase in thermal energy of the crate and
incline?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 7 minutes ago

asked 12 minutes ago

asked 21 minutes ago

asked 24 minutes ago

asked 25 minutes ago

asked 30 minutes ago

asked 36 minutes ago

asked 39 minutes ago

asked 46 minutes ago

asked 47 minutes ago

asked 48 minutes ago