Question

A 2.5 kg rock is released from rest at the surface of a pond 1.8 m deep. As the rock falls, a constant upward force of 4.0 N is exerted on it by water resistance. Let y=0 be at the bottom of the pond. A.) Calculate the nonconservative work, Wnc, done by water resistance on the rock, the gravitational potential energy of the system, U, the kinetic energy of the rock, K, and the total mechanical energy of the system, E, when the depth of the rock below the water's surface is 0 m. Express your answers using two significant figures separated by commas. B.) Calculate the nonconservative work, Wnc, done by water resistance on the rock, the gravitational potential energy of the system, U, the kinetic energy of the rock, K, and the total mechanical energy of the system, E, when the depth of the rock below the water's surface is 0.50 m. Express your answers using two significant figures separated by commas. C.) Calculate the nonconservative work, Wnc, done by water resistance on the rock, the gravitational potential energy of the system, U, the kinetic energy of the rock, K, and the total mechanical energy of the system, E, when the depth of the rock below the water's surface is 1.0 m. Express your answers using two significant figures separated by commas.

Answer #1

(A) Wnc, done by water resistance on the rock =f.d = 4 * 0 = 0 J

the gravitational potential energy of the system = mgh = 2.5* 9.8 * 1.8 =44.1 J

the kinetic energy of the rock = 0

the total mechanical energy of the system = K.e> +P.E. = 44.1J

(B) Wnc, done by water resistance on the rock =f.d = -4 * 0.50 = -2.0 J

the gravitational potential energy of the system = mgh = 2.5x 9.8 x (1.8-0.5) =31.85 J

the kinetic energy of the rock = 44.1 - 31.85 - 2.0 =10.25 J

the total mechanical energy of the system = K.e> +P.E. = 42.1 J

(C) Wnc, done by water resistance on the rock = F.d = -4*1 = - 4 J

the gravitational potential energy of the system = mgh = 2.5x 9.8 x (1.8 -1) =19.6 J

the kinetic energy of the rock = 44.1 - 19.6 - 4 = 20.5 J

the total mechanical energy of the system = K.e> +P.E. = 40.1 J

A 2.5 kg rock is released from rest at the surface of a pond 1.8
m deep. As the rock falls, a constant upward force of 4.4 N is
exerted on it by water resistance. Let y=0 be at the bottom of the
pond.
Part A
Calculate the nonconservative work, Wnc, done by water
resistance on the rock, the gravitational potential energy of the
system, U, the kinetic energy of the rock, K, and
the total mechanical energy of the...

A 2.1 kg rock is released from rest at the surface of a pond 1.8
m deep. As the rock falls, a constant upward force of 4.9 N is
exerted on it by water resistance. Let y=0 be at the
bottom of the pond.
Part A
Calculate the nonconservative work, Wnc , done by water
resistance on the rock, the gravitational potential energy of the
system, U , the kinetic energy of the rock, K ,
and the total mechanical...

A 1.8 kg rock is released from rest at the surface of a pond 1.8
mm deep. As the rock falls, a constant upward force of 5.0 N is
exerted on it by water resistance. Let y=0 be at the bottom of the
pond.
Part G
Calculate the kinetic energy of the rock, KK, when the depth of
the rock below the water's surface is 0.50 mm.
Express your answers using two significant figures.
Part H
Calculate the total mechanical...

During a rockslide, a 360 kg rock slides from rest down a
hillside that is 500 m along the slope and 250 m high. The
coefficient of kinetic friction between the rock and the hill
surface is 0.30. (a) If the gravitational potential energy U of the
rock-Earth system is zero at the bottom of the hill, what is the
value of U just before the slide? (b) How much energy is
transferred to thermal energy during the slide? (c)...

During a rockslide, a 700kg rock slides from rest down a hillside
that is 740m along the slope and 260m high. The coefficient of
kinetic friction between the rock and the hill surface is 0.21. (a)
If the gravitational potential energy U of the rock-earth system is
zero at the bottom of the hill, what is the value of U just before
the slide? (b) How much energy is transferred to thermal energy
during the slide? (c) What is the...

Learning Goal:
To understand how to apply the law of conservation of energy to
situations with and without nonconservative forces acting.
The law of conservation of energy states the following:
In an isolated system the total energy remains constant.
If the objects within the system interact through gravitational
and elastic forces only, then the total mechanical energy
is conserved.
The mechanical energy of a system is defined as the sum of
kinetic energy K and potential energy
U. For such...

A pond with a total depth (ice + water) of 2.75 m is covered by
a transparent layer of ice, with a thickness of 0.32 m
Find the time required for light to travel vertically from the
surface of the ice to the bottom of the pond.
Express your answer using two significant figures.

1 a) Starting from rest, a 50 Kg person dives
into water from a height of 80 m above the water
surface. Air resistance is negligible. (Use g= 10 m/s2)
Calculate (A) the diver’s KE just before striking the water surface
(B) the velocity of the diver just before striking the water (C)
the work done by gravitational force on the diver (D) the power
delivered by gravitational force on the diver
b) A ball of mass m=0.2 Kg
sitting...

A stone 0.44 kg mass is released from rest from a height of 29.4
m above the ground. Ignoring air resistance and letting the ground
be the zero potential energy level,
Determine the final kinetic energy of the stone using energy
conservation principle only, not as a free fall.
Determine the work done on the stone by gravity.

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

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 7 minutes ago

asked 9 minutes ago

asked 9 minutes ago

asked 9 minutes ago

asked 16 minutes ago

asked 19 minutes ago

asked 38 minutes ago

asked 46 minutes ago

asked 46 minutes ago

asked 53 minutes ago

asked 54 minutes ago