Question

In: Physics

A 200 g block attached to a spring with spring constant 2.1 N/m oscillates horizontally on...

A 200 g block attached to a spring with spring constant 2.1 N/m oscillates horizontally on a frictionless table. Its velocity is 20 cm/s when x0 = -4.6 cm .

A. What is the amplitude of oscillation?

B. What is the block's maximum acceleration?

C. What is the block's position when the acceleration is maximum?

D. What is the speed of the block when x1 = 3.2 cm ?

Solutions

Expert Solution

Mass of block

Spring constant

At the given point ,

velocity of block is

Total energy of the system, when block is at is

A)

When block is at maximum displacement ( maximum displacement =amplitude =A) ,

Total energy of system is

B) Block's maximum acceleration

Magnitude of maximum acceleration is

C)The block will have maximum acceleration at its maximum dislacement (+A or -A), so it is at

D) At

Total energy


Related Solutions

A 170 g block attached to a spring with spring constant 2.1 N/m oscillates horizontally on...
A 170 g block attached to a spring with spring constant 2.1 N/m oscillates horizontally on a frictionless table. Its velocity is 19 cm/s when x0 = -4.0 cm . A) What is the amplitude of oscillation? B) What is the block's maximum acceleration? C) What is the block's position when the acceleration is maximum? D) What is the speed of the block when x1 = 3.3 cm ?
A 190 g block attached to a spring with spring constant 2.8 N/m oscillates horizontally on...
A 190 g block attached to a spring with spring constant 2.8 N/m oscillates horizontally on a frictionless table. Its velocity is 20 cm/s when x0 = -5.3 cm . a) What is the amplitude of oscillation? b) What is the block's maximum acceleration? c) What is the block's position when the acceleration is maximum? d) What is the speed of the block when x1 = 2.7 cm ?
1. A block of mass m attached to a spring with spring constant k oscillates horizontally...
1. A block of mass m attached to a spring with spring constant k oscillates horizontally on a frictionless table. Its velocity is 20 cm/s when x = -5 cm. Taking m = 100 gm, and spring constant = 2.5 N/m, a) Find out the equations of position, velocity, and acceleration of the ball. Find also the total energy of the block when its velocity was 20 cm/s. b) Oscillating particles generate waves. What will be the equation of a...
A 0.900-kg block attached to a spring with force constant k = 1.20 N/m oscillates with...
A 0.900-kg block attached to a spring with force constant k = 1.20 N/m oscillates with an amplitude equal to half its natural length. The natural (un-stretched) length of the spring is 18.0 cm. (a) When submitting your work, sketch the figure below illustrating the position, and directly underneath that, the velocity of the mass as a function of time. Assume that x = 9.00 cm and v =0 m/s when t = 0.00 s. Label the amplitude A and...
A 5 kg block is attached to a horizontally-mounted spring with a spring constant of 600...
A 5 kg block is attached to a horizontally-mounted spring with a spring constant of 600 J/m2. The spring is extended by 10 cm from its normal length and the block is then released with an additional pull that imparts an initial velocity of 50 cm/s. The angular velocity (in rad/s) is A rad/s. The phase shift or off set (in degrees) is B degrees. The amplitude (in cm) is C cm. Please highlight where the given mass, spring constant,...
A 1.40 kg block is attached to a spring with spring constant 16.5 N/m . While...
A 1.40 kg block is attached to a spring with spring constant 16.5 N/m . While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 43.0 cm/s . What are The block's speed at the point where x= 0.350 A?
A 1.25 kg block is attached to a spring with spring constant 18 N/m . While...
A 1.25 kg block is attached to a spring with spring constant 18 N/m . While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 42 cm/s What is the amplitude of the subsequent oscillations? What is the block's speed at the point where x=0.25A?
A block with a mass M is attached to a horizontal spring with a spring constant...
A block with a mass M is attached to a horizontal spring with a spring constant k. Then attached to this block is a pendulum with a very light string holding a mass m attached to it. What are the two equations of motion? (b) What would these equations be if we assumed small x and φ? (Do note that these equations will turn out a little messy, and in fact, the two equations involve both variables (i.e. they are...
A block of 0.42 kg attached to a horizontal spring whose spring constant is 130.00 N/m...
A block of 0.42 kg attached to a horizontal spring whose spring constant is 130.00 N/m has a simple harmonic motion (SHM) with an amplitude of 0.11 m. The figure above shows one complete cycle of the SHM, and the vertical green dashed line indicates the equilibrium position of the block. (d) Calculate the block 's velocity at 0.045 s. The velocity can be positive, zero or negative. Notice that the unit of angular frequency ω is rad/s, the unit...
a block of mass m=0.10 kg attached to a spring whose spring constant is k=2.5 N/m...
a block of mass m=0.10 kg attached to a spring whose spring constant is k=2.5 N/m . At t=0.2s, the displacement x=-0.3m, and the velocity v=-2.0m/s a) find the equation of displacement as a function of time b) sketch the displacement as a function of time for the first cycle starting t=0s
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT