Question

A. Suppose a 10kg object as a total energy of 500J. If all of this energy is kinetic energy, how fast is the object moving? (I got 10 m/s) Is this correct?

B. Assume now that the same object has only gravitational potential energy. If the object is on Earth, how high up is it? (I got 5.1 m, is this correct?)

C. According to conservation of energy, the object must have the same TOTAL energy (kinetic plus potential) at all times. When the object is 2m off of the ground, how fast it moving?

D. Using the same concept, how high up is the object when it's traveling with a velocity of 6m/s?

Answer #1

**Solution:**

Given,

m - 10 kg, E = 500 J and We take acceleration due to gravity g =
9.81 m/s^{2}.

A)

All the energy is K.E,

K.E = 1/2 mv^{2} = 500

v^{2} = 500*2/10

v = **10 m/s.**

B)

All the energy is P.E from the earth,

P;E = mgh = 500

h = 500/[9.81*10]

h = 5.1 m.

C)

Given its off the ground,

Total energy is = 500 J

K.E + P.E = 500 J

K.E = 500 - mgh = 500 - [10*9.81*2]

1/2 mv^{2} = 303.8

v^{2} = 303.8*2/10

**v = 7.795**

**= 7.8 m/s.**

D)

Given its off the ground,

Total energy is = 500 J

K.E + P.E = 500 J.

P.E = 500 - 0.5mv^{2} = 500 - [0.5*10*6^{2}]

mgh = 320

h = 320/10*9.81

**h = 3.262**

**= 3.3 m.**

I hope you understood the problem and got your answers, If yes rate me!! or else comment for a better solutions.

An object, which is initially at rest on a frictionless
horizontal surface, is acted upon by four constant forces. ?1F1 is
18.1 N18.1 Nacting due east, ?2F2 is 32.8 N32.8 N acting due north,
?3F3 is 47.8 N47.8 N acting due west, and ?4F4 is 10.8 N10.8 N
acting due south. How much total work is done on the object in 3.33
s,3.33 s, if it has a mass of 22.0 kg22.0 kg?
total work done on object:
JJ
Which...

1. The concept of work is equivalent to a transfer of
energy.
True
False
2. Work is required to transfer energy from one form to another,
for example, to convert kinetic energy into potential energy.
True
False
3. An object with mass of 1000 kg is moving at a rate of 20 m/s.
Its kinetic energy is
a. 0 J
b. 20,000 J
c. 200,000 J
d. 400,000 J
4. A car speeds up from 10 m/s to 15 m/s....

answer all questions
3.13.6
Question 110 pts
A 319 kg motorcycle is parked in a parking garage. If the car has
35,494 J of potential energy, how many meters above ground is the
car? Report your answer to 1 decimal place. Please do not include
units or the answer will be marked incorrect.
Flag this Question
Question 210 pts
A box sitting on the top of a hill has 252 J of potential energy.
If the hill is 279 meters...

1/
An object moving at a certain speed has a kinetic energy KE of 90
J. If its speed is made 3 times smaller, what would the decrease in
its KE be? 2/ An object of mass 1 kg is pushed up along a 5 m long
incline to a vertical height of 1 m. The change in its potential
energy is;
3/ A 1-kg object is dropped from a height of 40 m and falls
freely to the ground....

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...

An object with mass 0.220 kg is acted on by an elastic restoring
force with force constant 10.5 N/m. The object is set into
oscillation with an initial potential energy of 0.150 J and an
initial kinetic energy of 5.60×10−2 J.
From the problem (a), (b), and (c) I got
Amplitude 0.198m
Potential energy when the displacement was at half 5.15*10^-2
J
Displacement when Potential energy and Kinetic energies are
equal 0.140m
And I don't know
(d) What is the...

Edit question An object with mass 0.220 kg is acted on by an
elastic restoring force with force constant 10.5 N/m. The object is
set into oscillation with an initial potential energy of 0.150 J
and an initial kinetic energy of 5.60×10−2 J.
From the problem (a), (b), and (c) I got
Amplitude 0.198m
Potential energy when the displacement was at half 5.15*10^-2
J
Displacement when Potential energy and Kinetic energies are
equal 0.140m And I don't know
(d) What...

Question 1 (1 point)
Which is not necessary in order to do work on an object (use the
scientific definition of work)?
Question 1 options:
There must be a change in momentum.
A net force must be applied to the object.
The object must undergo a displacement.
A component of the force must be in the direction of motion.
Question 2 (1 point)
The change in gravitational potential energy for a 1.9 kg box
lifted 2.2 m is:
Question 2...

1. An object-spring system moving with simple harmonic motion
(SHM) has an amplitude A.
(a) What is the total energy of the system in terms of k and A
only?
(b) Suppose at a certain instant the kinetic energy is twice the
elastic potential energy, KE = 2PE. Re-write this equation by using
only the variables for the mass, m, velocity, v, spring constant,
k, and position, x.
(c) Using the results of (a) and (b) and conservation of energy,...

Problem solving with mechanical energy conservation
If mechanical energy is conserved, it gives us an equation that
can be helpful in solving problems.
The Sidewinder is a simple roller coaster at Elitch Gardens in
Denver, CO. The coaster goes down a hill, around a loop, and back
up a hill. It stops and then doubles back, taking riders backwards
through the loop again. Normally a roller coaster has to start much
higher than the top of the loop to ensure...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 26 minutes ago

asked 36 minutes ago

asked 38 minutes ago

asked 42 minutes ago

asked 42 minutes ago

asked 47 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago