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attashe74 [19]
3 years ago
6

As part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff springs arr

anged side by side so that they are parallel to each other. When you push the platform, you compress the springs. You do an amount of work of 85.0 J when you compress the springs a distance of 0.250 m from their uncompressed length. What magnitude of force must you apply to hold the platform in this position? How much additional work must you do to move the platform a distance 0.220 m farther? What maximum force must you apply to move the platform a distance 0.220 m farther?
Physics
1 answer:
Natalija [7]3 years ago
6 0

Answer:

a) F = 680 N, b)  W = 215 .4 J , c)  F = 1278.4 N

Explanation:

a) Hooke's law is

              F = k x

To find the displacement (x) let's use the elastic energy equation

            K_{e} = ½ k x²

             k = 2 K_{e}  / x²

             k = 2 85.0 / 0.250²

             k = 2720 N / m

We replace and look for elastic force

            F = 2720  0.250

            F = 680 N

b) The definition of work is

          W = ΔEm

          W = K_{ef} - K_{eo}

          W = ½ k ( x_{f}² - x₀²)

The final distance

         x_{f} = 0.250 +0.220

        x_{f} = 0.4750 m

We calculate the work

          W = ½ 2720 (0.47² - 0.25²)

          W = 215 .4 J

We calculate the strength

          F = k x_{f}

          F = 2720 0.470

          F = 1278.4 N

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Answer:

Option C. 210 J.

Explanation:

From the question given above, the following data were obtained:

Mass (m) = 0.75 Kg

Height (h) = 12 m

Velocity (v) = 18 m/s

Acceleration due to gravity (g) = 9.8 m/s²

Total Mechanical energy (ME) =?

Next, we shall determine the potential energy of the plane. This can be obtained as follow:

Mass (m) = 0.75 Kg

Height (h) = 12 m

Acceleration due to gravity (g) = 9.8 m/s²

Potential energy (PE) =?

PE = mgh

PE = 0.75 × 9.8 × 12

PE = 88.2 J

Next, we shall determine the kinetic energy of the plane. This can be obtained as follow:

Mass (m) = 0.75 Kg

Velocity (v) = 18 m/s

Kinetic energy (KE) =?

KE = ½mv²

KE = ½ × 0.75 × 18²

KE = ½ × 0.75 × 324

KE = 121.5 J

Finally, we shall determine the total mechanical energy of the plane. This can be obtained as follow:

Potential energy (PE) = 88.2 J

Kinetic energy (KE) = 121.5 J

Total Mechanical energy (ME) =?

ME = PE + KE

ME = 88.2 + 121.5

ME = 209.7 J

ME ≈ 210 J

Therefore, the total mechanical energy of the plane is 210 J.

8 0
2 years ago
What is the momentum of a 75-kilogram ice skater gliding across the ice at a speed of 13 m/s? ____ kg-m/s
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Momentum = Mass*Velocity

Momentum = 75*13
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The answer is 975 kg-m/s
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7 0
3 years ago
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9. A 0.500 kg ball with a speed of 4.0 m/s strikes a stationary 1.0 kg target. The ball and target
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Answer:

D. 2.0 kg m/s

Explanation:

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3 years ago
Bruce pulls a spring with a spring constant k=100 Nmk=100\, \dfrac{\text N}{\text m}k=100mN​k, equals, 100, start fraction, star
emmainna [20.7K]

Answer:

K_{e} = 2.0 J

Explanation:

In this exercise you are asked to calculate the elastic potential energy of a spring

          K_{e} = ½ k x²

where k is the spring constant and x is the displacement from equilibrium position

In this exercise, indicate that the spring constant is k = 100 N/m, the length at rest is  x₀ = 20 cm = 0.20 m, up to the position x₁ = 40 cm = 0.40 m, therefore the elongation

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           Δx = 0.40 - 0.20

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Two forces produce the same torque. does it follow that they have the same magnitude?
MrRa [10]

Two forces produce the same torque but this will not ensure that they have the same magnitude of torque because torque is the product of force times distance.

Torque is a measure of the force that can cause an object to rotate about an axis. Just as force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration. Torque is a vector quantity.

The physical quantities for which both magnitude and direction are defined distinctly are known as vector quantities. For example, a boy is riding a bike with a velocity of 30 km/hr in a north-east direction.

The quantity torque (or moment of force) may be thought of as the cross product of force and distance and the SI unit for torque is Newton metre, N m (m2 kg s-2).

No, Because torque is the product of force times distance, two different forces that act at different distances could still give the same torque.

To learn more about Torque  here

brainly.com/question/16049994

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