Question

25) 6.50 kg block of ice sliding on the floor at 10.0 m/s encounters a rough section for 4.0 m that has a coefficient of kinetic friction of 0.820.

A) draw and label the figure

B) find the speed of the block after it passes the rough section

C) the block encounters a spring and comes to rest after compressing the spring for 20 cm. FIND the spring constant of the spring

Answer #1

Solution of the problem given below,

A
4.80 kg chunk of ice is sliding at 11.5 m/s on the floor of an
ice-covered valley when it collides with and sticks to another 4.80
kg chunk of ice that is initially at rest. Since the valley is icy,
there is no friction. After the collision, the blocks slide
partially up a hillside and then slide back down. How fast are they
moving when they reach the valley floor again?

A 1.40 kg block slides with a speed of 0.950 m/s on a
frictionless horizontal surface until it encounters a spring with a
force constant of 734 N/m. The block comes to rest after
compressing the spring 4.15 cm. Find the spring potential, U, the
kinetic energy of the block, K, and the total mechanical energy of
the system, E, for compressions of (a) 0 cm, (b) 1.00 cm, (c) 2.00
cm, (d) 3.00 cm, (e) 4.00 cm

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 man pushes a 4.0 kg block against a horizontal spring,
compressing the spring by 20 cm. Then the man releases the block,
and the spring sends it sliding across a tabletop. It stops 90 cm
from where you released it. The spring constant is 325 N/m. What is
the block–table coefficient of kinetic friction?
A.
0.47
B.
0.97
C.
0.57
D.
0.37

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 hanging object has a mass of m1 = 0.435 kg; the sliding block
has a mass of m2 = 0.880 kg; and the pulley is a hollow cylinder
with a mass of M = 0.350 kg, an inner radius of R1 = 0.020 0 m, and
an outer radius of R2 = 0.030 0 m. Assume the mass of the spokes is
negligible. The coefficient of kinetic friction between the block
and the horizontal surface is ?k = 0.250....

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
μk = 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...

A 500 g block, sliding on horizontal surface, collides head-on,
and sticks to, a 200 g block at rest. A) Find the speed of the
combination after the collision if the 500 g block was was moving
at 5.00 m/s before the collision. B) If the coefficient of kinetic
friction between the blocks and the floor is 0.315, how much
further with the blocks go before stopping?

1. A 2.7-kg copper block is given an
initial speed of 4.0 m/s on a rough horizontal surface. Because of
friction, the block finally comes to rest.
(a) If the block absorbs 85% of its
initial kinetic energy as internal energy, calculate its increase
in temperature.
(b) What happens to the remaining energy?
2. A certain steel
railroad rail is 13 yd in length and weighs 80.0 lb/yd. How much
thermal energy is required to increase the length of such...

A 4 kg block is sliding at an initial speed of 10 m/s across a
surface, encountering a constant friction force of 9 N. How much
work is done on the block after it slides 20 cm?
How fast is the block moving after sliding 20 cm?
What's the total distance the block travels before coming to
rest?
What is the average power of friction on the block over the time
it takes the block to come to rest?
What...

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