Question

In: Physics

The spring of a toy gun has a force constant of k = 533 N/m and...

  1. The spring of a toy gun has a force constant of k = 533 N/m and negligible mass. The spring is compressed the length of the gun barrel, 7.25 cm, and a 0.168-g ball is placed against the compressed spring. A constant frictional force of 5.45-N acts on the ball as it travels through the barrel. The ball leaves the barrel at the moment that it loses contact with the spring. The toy gun is ‘fired’ at a height of 1.33-m above the ground. Ignore air resistance.

  1. Show how to determine the speed of the ball as it leaves the barrel when the toy gun is oriented horizontally.

  2. Show how to determine the distance that the ball travels horizontally, and its speed of impact.

  3. Show how to determine the speed of the ball as it leaves the barrel when the toy gun is oriented vertically.

  4. Show how to determine the maximum height attained by the ball, and the speed of its impact when it lands on the ground.

Solutions

Expert Solution

Dear student,

Find this solution, and RATE IT ,If you find it is helpful .your rating is very important to me.If any incorrectness ,kindly let me know I will rectify them soon.

Thanks for asking ..


Related Solutions

In a spring gun system, a spring with a spring force constant 420 N/mN/m  , is compressed...
In a spring gun system, a spring with a spring force constant 420 N/mN/m  , is compressed 0.13 mm . When fired, 80.9 %% of the elastic potential energy stored in the spring is eventually converted into kinetic energy of a 6.10×10−2 kgkg uniform ball that is rolling without slipping at the base of a ramp. The ball continues to roll without slipping up the ramp with 89.6 %% of the kinetic energy at the bottom converted into an increase in...
A horizontal spring attached to a wall has a force constant of k = 770 N/m....
A horizontal spring attached to a wall has a force constant of k = 770 N/m. A block of mass m = 2.00 kg is attached to the spring and rests on a frictionless, horizontal surface as in the figure below. (a) The block is pulled to a position xi = 5.80 cm from equilibrium and released. Find the potential energy stored in the spring when the block is 5.80 cm from equilibrium. J (b) Find the speed of the...
A spring with force constant k = 175 N/m is attached to the ground. On top...
A spring with force constant k = 175 N/m is attached to the ground. On top of the spring a 1.30 kg metal pan is attached. The combination could be used as a scale, but we are going to do something more interesting. We place a metal ball with mass 0.250 kg on the tray and then the tray is pushed down 0.150 m below its equilibrium point and released from rest (take this as t = 0). a) At...
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 spring that has a force constant of 1050 N/m is mounted vertically on the ground....
A spring that has a force constant of 1050 N/m is mounted vertically on the ground. A block of mass 1.40 kg is dropped from rest from height of 1.40 m above the free end of the spring. By what distance does the spring compress?
A mass m = 3.27 kg is attached to a spring of force constant k =...
A mass m = 3.27 kg is attached to a spring of force constant k = 60.9 N/m and set into oscillation on a horizontal frictionless surface by stretching it an amount A = 0.17 m from its equilibrium position and then releasing it. The figure below shows the oscillating mass and the particle on the associated reference circle at some time after its release. The reference circle has a radius A, and the particle traveling on the reference circle...
14N16O has a force constant, k, of 1550 N/m and a moment of inertia, I, of...
14N16O has a force constant, k, of 1550 N/m and a moment of inertia, I, of 1.642x10-46 kg m2. a. What is the wavenumber of the photon that will be absorbed during the v=2 to v=3 vibrational transition if it acts as a harmonic oscillator? b. What is the wavenumber of a photon that will be absorbed during the same transition in part (a) if the molecule behaves instead as an anharmonic oscillator with an anharmonicity constant of 0.007392? c....
The spring (force) constant of HF is 970 N/m (1 N = 1 kg m s2...
The spring (force) constant of HF is 970 N/m (1 N = 1 kg m s2 ). (A) Calculate the fundamental frequency (expressed in units of cm-1 ) and the zero point energy (in energy units, J). (B) Earlier in the term we discussed the relationship between the energy and the position and momentum uncertainties. For the harmonic oscillator case, it would be E ≥ ((Δp) 2 / 2µ) + (1 / 2) µω2 (Δx) 2 (Equation 1) The ground...
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
A spring-loaded toy gun shoots straight up, and the toy rocket (m = 250g) reaches a...
A spring-loaded toy gun shoots straight up, and the toy rocket (m = 250g) reaches a maximum height hmax of 15.0 m when the spring is compressed 7.0 cm from its equilibrium position. What is the value of the spring constant, ks? (neglect friction with air and gun and assume an ideal spring)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT