Question

In the figure, a 4.3 kg block is accelerated from rest by a
compressed spring of spring constant 620 N/m. The block leaves the
spring at the spring's relaxed length and then travels over a
horizontal floor with a coefficient of kinetic friction
*μ*_{k} = 0.284. The frictional force stops the
block in distance *D* = 7.4 m. What are **(a)**
the increase in the thermal energy of the block–floor system,
**(b)** the maximum kinetic energy of the block, and
**(c)** the original compression distance of the
spring?

Answer #1

given,

mass of block m = 4.3 kg

spring constnt, k = 620 N/m

coeffiecient of kinetic friction μ_{k} = 0.284

(a)

the thermal energy comes from the work done by the friction

W_{f} =
F_{f} .d = -F_{f} .d = -μ_{k} mg d = -(
0.284) (4.3 kg) ( 9.8 m/s^{2})(7.4 m) = - 88.65 J

b) this frictional force stopped the block

change in kinetic energy, ΔKE = KE_{f} - KE_{i}
= 0 - KE_{i}

W_{f} = - KE_{i}

- 88.65 J = - KE_{i}

maximum kinetic enegy of block KE = 88.65 J

c) this kinetic energy stored as potential enegy in the spring

KE = ( 1/2)
kx^{2}

x = √2KE/k = 0.535 m

In the figure, a 3.5 kg block is accelerated from rest by a
compressed spring of spring constant 620 N/m. The block leaves the
spring at the spring's relaxed length and then travels over a
horizontal floor with a coefficient of kinetic friction μk = 0.256.
The frictional force stops the block in distance D = 7.8 m. What
are (a) the increase in the thermal energy of the block–floor
system, (b) the maximum kinetic energy of the block, and...

A 3.0-kg block sliding on a frictionless horizontal surface is
accelerated by a compressed spring. If the 200 N/m spring is
initially compressed 10 cm, determine (a) the potential energy
stored in the spring. As the block leaves the spring, find (b) the
kinetic energy of the block, and (c) the velocity of the block.

A block with mass m = 14 kg rests on a frictionless table and is
accelerated by a spring with spring constant k = 4399 N/m after
being compressed a distance x1 = 0.468 m from the
spring’s unstretched length. The floor is frictionless except for a
rough patch a distance d = 2 m long. For this rough path, the
coefficient of friction is μk = 0.48.
1)How much work is done by the spring as it accelerates the...

1.)A block is compressed a distance x against a spring such that
the system now has a total mechanical energy of 100J. Assume there
are no frictional forces. The block is released, and the spring has
expanded to half the original compression (the new position is at
x’=x/2). How much energy is in the form of
potential and kinetic energy? Note we are not asking for the
velocity.
2) What is the Potential Energy of the spring when x’’=0, the...

A wooden block with mass 1.30 kg is placed against a compressed
spring at the bottom of a slope inclined at an angle of 35.0 ∘
(point A). When the spring is released, it projects the block up
the incline. At point B, a distance of 7.95 m up the incline from
A, the block is moving up the incline at a speed of 5.75 m/s and is
no longer in contact with the spring. The coefficient of kinetic
friction...

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...

A 2.90 kg block on a horizontal floor is attached to a
horizontal spring that is initially compressed 0.0340 m . The
spring has force constant 850 N/m . The coefficient of kinetic
friction between the floor and the block is 0.42 . The block and
spring are released from rest and the block slides along the
floor.
Part A
What is the speed of the block when it has moved a distance of
0.0190 m from its initial position?...

A block with a mass m = 2.12 kg is pushed into an ideal spring
whose spring constant is k = 3810 N/m. The spring is compressed x =
0.069 m and released. After losing contact with the spring, the
block slides a distance of d = 2.07 m across the floor before
coming to rest.
a) Write an expression for the coefficient of kinetic friction
between the block and the floor using the symbols given in the
problem statement...

A wooden block with mass 1.80 kg is placed against a compressed
spring at the bottom of a slope inclined at an angle of 34.0 ?
(point A). When the spring is released, it projects the block up
the incline. At point B, a distance of 6.00 m up the incline from
A, the block is moving up the incline at a speed of 6.45 m/s and is
no longer in contact with the spring. The coefficient of kinetic
friction...

A 1.55-kg block is launched by a spring and slides along a ramp
as shown. The spring has a spring constant of 1180 N/m and is
compressed a distance, x, before being released. The block slides
up a frictionless ramp of height, H=0.550 m, above where the block
leaves the spring. At the top of the ramp it flies horizontally off
the ramp. Just before leaving the ramp, the kinetic energy of the
block is 8.54 J. After leaving the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 11 minutes ago

asked 15 minutes ago

asked 15 minutes ago

asked 19 minutes ago

asked 32 minutes ago

asked 40 minutes ago

asked 43 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago