Physics, 25.06.2020 07:01 miargaree1823

A 0.40-kg particle moves under the influence of a single conservative force. At point A, where the particle has a speed of 10 m/s, the potential energy associated with the conservative force is 40 J. As the particle moves from A to B, the force does 25 J of work on the particle. What is the value of the potential energy at point B

Answers: 1

Show answers

Answers

Answer from: 24nelsoaddh

The potential energy of the particle at point B is 85 J.

Given to us:

Mass of the particle, $m=0.40\ kg$

velocity of the particle, $v= 10\ m/s$

potential energy of the particle, $PE= 40\ J$

Workdone from pt. A to B, $WD_{(A\rightarrow B)} = 25\ J$

Calculating the kinetic energy of the particle,

$\begin{aligned}KE&= \frac{1}{2}mv^2 \\\\&=\frac{1}{2}\times0.40\times (10)^2\\\\&=20 J\\\end{aligned}$

According to the Principle of Energy Conservation,

The energy cannot be created nor be destroyed, it can only be transformed from one form to another.Therefore,

Also,

Total Energy at point A ,

$\begin{aligned}(TE)_A &= Kinetic\ Energy+ Potential\ Energy+ Internal Energy+ Workdone\\ &=KE_A+ PE_A+UE_A+ WD_{(0\rightarrow A)}\\&=20+40+0+0\\&=60\ J\end{aligned}$

Total Energy at point B,

$\begin{aligned}(TE)_B &= Kinetic\ Energy+ Potential\ Energy+ Internal Energy+ Workdone\\ &=KE_B+ PE_B+UE_B+ WD_{(A\rightarrow B)}\end{aligned}$

As the total energy is conserved from point A to B and also an external work is done on the particle. we can write the above equation as,

$\begin{aligned} TE_B&=KE_B+ PE_B+UE_B+ WD_{(A\rightarrow B)}\\&=(KE_B+ PE_B+UE_B)+ WD_{(A\rightarrow B)}\\&= TE_A+ WD_{(A\rightarrow B)}\\&=60+25\\&=85\ J\end{aligned}$

Therefore, the total energy for the particle at point B is 85 J but as the particle is not moving neither work is done at point B, the total energy of the particle is the potential energy of the particle.

Hence, the potential energy of the particle at point B is 85 J.

To know more visit:

link

Answer from: briannaalvarado256

The value of the potential energy of the particle at point B is 85 joules.

Explanation:

According to the Principle of Energy Conservation, the energy cannot be created nor destroyed, only transformed. The particle at point A has kinetic and potential energy and receives a work due to an external conservative force (Work-Energy Theorem), whose sum is equal to potential energy at point B. Mathematically speaking, the expression that describes the phenomenon is:

$K_{A} + U_{A} + W_{A \rightarrow B} = U_{B}$

Where:

$K_{A}$ - Kinetic energy at point A, measured in joules.

$U_{A}$ - Potential energy at point A, measured in joules.

$W_{A \rightarrow B}$ - Work due to conservative force from A to B, measured in joules.

$U_{B}$ - Potential energy at point B, measured in joules.

The initial kinetic energy of the particle is:

$K_{A} = \frac{1}{2}\cdot m \cdot v^{2}$

Where:

- Mass, measured in kilograms.

- Velocity, measured in meters per second.

If $m = 0.4\,kg$ and $v = 10\,\frac{m}{s}$ , then:

$K_{A} = \frac{1}{2}\cdot (0.4\,kg)\cdot \left(10\,\frac{m}{s} \right)^{2}$

$K_{A} = 20\,J$

Finally, the value of the potential energy at point B is:

$U_{B} = 20\,J + 40\,J + 25\,J$

$U_{B} = 85\,J$

The value of the potential energy of the particle at point B is 85 joules.

Answer from: Quest

It equals just about 6,300 km per hour each day an week

Answer from: Quest

Ibelieve the answer is b

Another question on Physics

Physics, 22.06.2019 17:00

(a) if the pressure in gas is doubled while its volume is held constant, by what factor do (i) vrms and (ii) change? (b) is it possible to boil water at room temperature (20oc) without heating it? explain.

Answers: 3

Answer

Physics, 22.06.2019 17:10

What causes the development of most clouds and precipitation in the atmosphere?

Answers: 1

Answer

Physics, 23.06.2019 02:00

How does changing the frequency affect the energy of the wave?

Answers: 3

Answer

Physics, 23.06.2019 04:31

Ahockey puck sliding along frictionless ice with speed v to the right collides with a horizontal spring and compresses it by 3.0 cm before coming to a momentary stop.

Answers: 2

Answer

You know the right answer?

A 0.40-kg particle moves under the influence of a single conservative force. At point A, where the p...

Questions