The acceleration of a certain simple harmonic oscillator is given by a = -(15.8 m/s2) cos (2.51t). What is the amplitude of the simple harmonic motion?

A) 2.51 m B) 4.41 m C) 6.30 m D) 11.1 m E) 15.8 m A) 2.51 m B) 4.41 m C) 6.30 m D) 11.1 m E) 15.8 m A

A 5.0 × 10S1U1P12S1S1P0-N object is hung from the end of a wire of cross-sectional area 0.010 cmS1U1P12S1S1P0. The wire stretches from its original length of 200.00 cm to 200.50 cm. -What is the stress on the wire?

A) 5.0 × 102 N/m2 B) 1.0 × 106 N/m2 C) 1.0 × 108 N/m2 D) 5.0 × 106 N/m2 E) 5.0 × 108 N/m2 A) 5.0 × 102 N/m2 B) 1.0 × 106 N/m2 C) 1.0 × 108 N/m2 D) 5.0 × 106 N/m2 E) 5.0 × 108 N/m2

A cylinder with a diameter of 0.240 m is placed between the plates of a hydraulic press as illustrated in the drawing. A 4.45 × 105-N force is applied to the cylinder. What is the pressure on the end of the cylinder due to the applied force?

A) 9.84 × 106 Pa B) 3.13 × 105 Pa C) 6.18 × 106 Pa D) 5.34 × 105 Pa E) 4.92 × 106 Pa A) 9.84 × 106 Pa B) 3.13 × 105 Pa C) 6.18 × 106 Pa D) 5.34 × 105 Pa E) 4.92 × 106 Pa

A 0.2-kg block is held in place by a force that results in a 0.10-m compression of a spring beneath the block. The spring constant is 1.0 × 102 N/m. Assuming the mass of the spring is negligible compared to that of the block, to what maximum height would the block rise if the force were removed.

A) 0.26 m B) 0.52 m C) 2.5 m D) 5 m E) 10 m A) 0.26 m B) 0.52 m C) 2.5 m D) 5 m E) 10 m

A 5.0 × 10S1U1P12S1S1P0-N object is hung from the end of a wire of cross-sectional area 0.010 cmS1U1P12S1S1P0. The wire stretches from its original length of 200.00 cm to 200.50 cm. -Determine the Young's modulus of the wire.

A) 1.0 × 1011 N/m2 B) 1.0 × 109 N/m2 C) 2.0 × 1011 N/m2 D) 2.0 × 109 N/m2 E) 5.0 × 1012 N/m2 A) 1.0 × 1011 N/m2 B) 1.0 × 109 N/m2 C) 2.0 × 1011 N/m2 D) 2.0 × 109 N/m2 E) 5.0 × 1012 N/m2

Exam 10: Simple Harmonic Motion and Elasticity

A simple pendulum consists of a ball of mass m suspended from the ceiling using a string of length L. The ball is displaced from its equilibrium position by a small angle $\theta$ . What is the magnitude of the restoring force that moves the ball toward its equilibrium position and produces simple harmonic motion?

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Question 1

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The acceleration of a certain simple harmonic oscillator is given by a = -(15.8 m/s²) cos (2.51t). What is the amplitude of the simple harmonic motion?

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Question 2

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The shear modulus of steel is 8.1 × 10¹⁰ N/m². A steel nail of radius 7.5 × 10^-⁴ m projects 0.040 m horizontally outward from a wall. A man hangs a wet raincoat of weight 28.5 N from the end of the nail. Assuming the wall holds its end of the nail, what is the vertical deflection of the other end of the nail?

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Question 3

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A 10-kg box is at rest at the end of an unstretched spring with constant k = 4000 N/m. The mass is struck with a hammer giving it a velocity of 6.0 m/s to the right across a frictionless surface. What is the amplitude of the resulting oscillation of this system?

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Question 4

Which one of the following statements is true concerning an object executing simple harmonic motion?

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Question 5

In the produce section of a supermarket, five pears are placed on a spring scale. The placement of the pears stretches the spring and causes the dial to move from zero to a reading of 2.0 kg. If the spring constant is 450 N/m, what is the displacement of the spring due to the weight of the pears?

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Question 6

A 5.0 × 10²-N object is hung from the end of a wire of cross-sectional area 0.010 cm². The wire stretches from its original length of 200.00 cm to 200.50 cm. -What is the stress on the wire?

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Question 7

Young's modulus of nylon is 3.7 × 10⁹ N/m². A force of 6.0 × 10⁵ N is applied to a 1.5-m length of nylon of cross sectional area 0.25 m². By what amount does the nylon stretch?

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Question 8

A 2.0-kg object is attached to a spring (k = 55.6 N/m) that hangs vertically from the ceiling. The object is displaced 0.045 m vertically. When the object is released, the system undergoes simple harmonic motion. What is the magnitude of the maximum acceleration of the object?

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Question 9

Melissa's favorite exercise equipment at the gym consists of various springs. In one exercise, she pulls a handle grip attached to the free end of a spring to 0.80 m from its unstrained position. The other end of the spring (spring constant = 45 N/m) is held in place by the equipment frame. What is the magnitude of the force that Melissa is applying to the handle grip?

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Question 10

When a force of 19 N is applied to a spring, it elongates 0.085 m. Determine the period of oscillation of a 4.0-kg object suspended from this spring.

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Question 11

Complete the following statement: Young's modulus cannot be applied to

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Question 12

A vertical block-spring system on earth has a period of 6.0 s. What is the period of this same system on the moon where the acceleration due to gravity is roughly 1/6 that of earth?

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Question 13

A ball hung from a vertical spring oscillates in simple harmonic motion with an angular frequency of 2.6 rad/s and an amplitude of 0.075 m. What is the maximum acceleration of the ball?

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Question 14

A 2.2-kg object is suspended from a spring with k = 18 N/m. The mass is pulled 0.35 m downward from its equilibrium position and allowed to oscillate. What is the maximum kinetic energy of the object?

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Question 15

A cylinder with a diameter of 0.240 m is placed between the plates of a hydraulic press as illustrated in the drawing. A 4.45 × 10⁵-N force is applied to the cylinder. What is the pressure on the end of the cylinder due to the applied force?

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Question 16

The spring constant for the spring in a special cannon is 1800 N/m. In cocking the cannon, the spring is compressed 0.55 m. What is the initial speed of a 7.0-kg cannonball at rest on the free end of the spring when it is released?

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Question 17

What is the period of a pendulum consisting of a 6-kg object oscillating on a 4-m string?

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Question 18

A 0.2-kg block is held in place by a force that results in a 0.10-m compression of a spring beneath the block. The spring constant is 1.0 × 10² N/m. Assuming the mass of the spring is negligible compared to that of the block, to what maximum height would the block rise if the force were removed.

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Question 19

A 5.0 × 10²-N object is hung from the end of a wire of cross-sectional area 0.010 cm². The wire stretches from its original length of 200.00 cm to 200.50 cm. -Determine the Young's modulus of the wire.

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Question 20

Showing 1 - 20 of 63

Exam 10: Simple Harmonic Motion and Elasticity

The acceleration of a certain simple harmonic oscillator is given by a = -(15.8 m/s2) cos (2.51t). What is the amplitude of the simple harmonic motion?

A 10-kg box is at rest at the end of an unstretched spring with constant k = 4000 N/m. The mass is struck with a hammer giving it a velocity of 6.0 m/s to the right across a frictionless surface. What is the amplitude of the resulting oscillation of this system?

Which one of the following statements is true concerning an object executing simple harmonic motion?

In the produce section of a supermarket, five pears are placed on a spring scale. The placement of the pears stretches the spring and causes the dial to move from zero to a reading of 2.0 kg. If the spring constant is 450 N/m, what is the displacement of the spring due to the weight of the pears?

A 5.0 × 102-N object is hung from the end of a wire of cross-sectional area 0.010 cm2. The wire stretches from its original length of 200.00 cm to 200.50 cm. -What is the stress on the wire?

Young's modulus of nylon is 3.7 × 109 N/m2. A force of 6.0 × 105 N is applied to a 1.5-m length of nylon of cross sectional area 0.25 m2. By what amount does the nylon stretch?

A 2.0-kg object is attached to a spring (k = 55.6 N/m) that hangs vertically from the ceiling. The object is displaced 0.045 m vertically. When the object is released, the system undergoes simple harmonic motion. What is the magnitude of the maximum acceleration of the object?

When a force of 19 N is applied to a spring, it elongates 0.085 m. Determine the period of oscillation of a 4.0-kg object suspended from this spring.

Complete the following statement: Young's modulus cannot be applied to

A vertical block-spring system on earth has a period of 6.0 s. What is the period of this same system on the moon where the acceleration due to gravity is roughly 1/6 that of earth?

A ball hung from a vertical spring oscillates in simple harmonic motion with an angular frequency of 2.6 rad/s and an amplitude of 0.075 m. What is the maximum acceleration of the ball?

A 2.2-kg object is suspended from a spring with k = 18 N/m. The mass is pulled 0.35 m downward from its equilibrium position and allowed to oscillate. What is the maximum kinetic energy of the object?

A cylinder with a diameter of 0.240 m is placed between the plates of a hydraulic press as illustrated in the drawing. A 4.45 × 105-N force is applied to the cylinder. What is the pressure on the end of the cylinder due to the applied force?

The spring constant for the spring in a special cannon is 1800 N/m. In cocking the cannon, the spring is compressed 0.55 m. What is the initial speed of a 7.0-kg cannonball at rest on the free end of the spring when it is released?

What is the period of a pendulum consisting of a 6-kg object oscillating on a 4-m string?

A 0.2-kg block is held in place by a force that results in a 0.10-m compression of a spring beneath the block. The spring constant is 1.0 × 102 N/m. Assuming the mass of the spring is negligible compared to that of the block, to what maximum height would the block rise if the force were removed.

A 5.0 × 102-N object is hung from the end of a wire of cross-sectional area 0.010 cm2. The wire stretches from its original length of 200.00 cm to 200.50 cm. -Determine the Young's modulus of the wire.

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The acceleration of a certain simple harmonic oscillator is given by a = -(15.8 m/s²) cos (2.51t). What is the amplitude of the simple harmonic motion?

A 5.0 × 10²-N object is hung from the end of a wire of cross-sectional area 0.010 cm². The wire stretches from its original length of 200.00 cm to 200.50 cm. -What is the stress on the wire?

Young's modulus of nylon is 3.7 × 10⁹ N/m². A force of 6.0 × 10⁵ N is applied to a 1.5-m length of nylon of cross sectional area 0.25 m². By what amount does the nylon stretch?

A cylinder with a diameter of 0.240 m is placed between the plates of a hydraulic press as illustrated in the drawing. A 4.45 × 10⁵-N force is applied to the cylinder. What is the pressure on the end of the cylinder due to the applied force?

A 0.2-kg block is held in place by a force that results in a 0.10-m compression of a spring beneath the block. The spring constant is 1.0 × 10² N/m. Assuming the mass of the spring is negligible compared to that of the block, to what maximum height would the block rise if the force were removed.

A 5.0 × 10²-N object is hung from the end of a wire of cross-sectional area 0.010 cm². The wire stretches from its original length of 200.00 cm to 200.50 cm. -Determine the Young's modulus of the wire.