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baherus [9]
4 years ago
11

An object having mass m is attached to a spring of force constant k oscillates with simple harmonic motion. The total mechanical

energy of the system is E and the maximum displacement from equilibrium is A. What is the system's potential energy when its kinetic energy is equal to 3/4E?
What is the system's potential energy when its kinetic energy is equal to ?
1. kA2
2. kA2/2
3. kA2/4
4. kA2/8
Physics
1 answer:
rjkz [21]4 years ago
8 0

Answer:

The potential energy of the system is \dfrac{E}{4}.

Explanation:

Given :

Mass of object , m .

Spring constant , k .

Total energy , E .

Maximum displacement , A .

We have to find potential energy when its kinetic energy is equal to 3/4E .

Now, we know :

Total energy is constant in simple harmonic motion.

Therefore ,

Total energy = Kinetic energy + potential energy .

E=P.E+\dfrac{3E}{4}\\\\P.E=\dfrac{E}{4}

Hence , this is the required solution.

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3 years ago
A race car exerts 18,344 N while the car travels at an acceleration of 92.54 m/s2. What is the mass of the car? (Use the formula
Maru [420]

Answer:

<h3>The answer is 198.23 kg</h3>

Explanation:

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m =  \frac{f}{a}  \\

where

m is the mass

F is the force

a is the acceleration

From the question

a = 92.54 m/s²

F = 18,344 N

We have

m =  \frac{18344}{92.54}  \\  = 198.2277933...

We have the final answer as

<h3>198.23 kg</h3>

Hope this helps you

4 0
4 years ago
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A 2.0 kg particle moves in a circle of radius 3.1 m. As you look down on the plane of its orbit, the particle is initially movin
Ghella [55]

Answer

given,

L(t) = 10 - 3.5 t

mass of particle = 2 Kg

radius of the circle = 3.1 m

a) torque

    τ = \dfrac{dL}{dt}

    τ = \dfrac{d}{dt}(10 - 3.5 t)

    τ = -3.5 N.m

Particle rotates clockwise as i look down the plane. Hence, its angular velocity is downward.

L decreases the angular acceleration upward. so, net torque is upward.

b) Moment of inertia of the particle

    I = m R^2

    I = 2 x 3.1²

    I = 19.22 kg.m²

    L = I ω

    ω = \dfrac{L}{I}

    ω = \dfrac{10 - 3.5 t}{19.22}

    ω = 0.520 - 0.182 t

  A = 0.52 rad/s             B = -0.182 rad/s²

5 0
3 years ago
Read 2 more answers
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