A spring cannon has a spring constant of 350 N / m and the bullet weighs...

A spring cannon has a spring constant of 350 N / m and the bullet weighs 10 grams. What is the maximum height, measured above the equilibrium position of the spring, that the spring cannon can shoot the ball up to if the maximum compression of the spring is 3.0 cm?

(Continuation of the previous question)

Before firing, the spring is compressed 2.0 centimeters in relation to the equilibrium position and the firing angle is set to ?? = 41 °. The spring gun is mounted on a table, the equilibrium position of the spring is at the same height as the surface of the table and the ball lands on the table at the horizontal distance L from the spring gun. what is the distance L?

continuation

The spring gun is now mounted so that it shoots over the edge of the table and the bullet hits the floor,

which is 110 cm below the table edge. The firing angle is unchanged ?? = 41 °.

If the starting velocity of the ball is ??0 = 2.0 m / s, what is the horizontal distance from the spring gun to the place where the bullet hits the floor?

Solutions

Expert Solution

samet mamat answered 1 year ago

Next > < Previous

Related Solutions

A spring has a Hooke's law spring constant of 3.4 N/m. If you load it with...

A spring has a Hooke's law spring constant of 3.4 N/m. If you load it with 1.3 kg, how far will it extend from its equilibrium length? A spring 10 cm long extends 0.5 cm when a mass of 8 kg is hung from it. Suppose you made an similar spring of the same material, but twice as long. How much would it extend with the same mass? If you apply a force {f} newtons on a spring, and it...

A frictionless oscillator is composed of a 350 N/m spring and a block of mass m....

A frictionless oscillator is composed of a 350 N/m spring and a block of mass m. It is set into motion such that at time t = 0, the block is at equilibrium (x 0 = 0) and is moving in the positive x-direction at 16 cm/s. It oscillates at angular frequency ω = 4.4 s − 1. a) Determine the mass of the block. b) Determine the energy of the oscillation. c)Determine the amplitude of the oscillation. d) Determine...

A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is...

A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resis- tance numerically equal to the magnitude of the instanta- neous velocity. If the system is driven by an external force of (12 cos 3t − 8 sin 3t) N, determine the steady-state response. (a) Find the gain function if the external force is f(t) = cos(ωt). (b)...

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?

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

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...

A spring with a spring constant 4 N/m is loaded with a 2 kgmass and allowed...

A spring with a spring constant 4 N/m is loaded with a 2 kgmass and allowed to reach equilibrium. It is then displaced 1 meter downward and released. Suppose the mass experiences a damping force in Newtons equal to 1 times the velocity at every point and an external force of F(t)=4sin(3t) driving the system. Set up a differential equation that describes this system and find a particular solution to this non-homogeneous differential equation:

A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences...

A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences friction, which acts as a force opposite and proportional to the velocity, with magnitude 2 N for every m/s of velocity. The spring is stretched 1 meter and then released. (a) Find a formula for the position of the mass as a function of time. (b) How much time does it take the mass to complete one oscillation (to pass the equilibrium point, bounce...

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 block of mass 1.59 kg is connected to a spring of spring constant 148 N/m...

A block of mass 1.59 kg is connected to a spring of spring constant 148 N/m which is then set into oscillation on a surface with a small coefficient of kinetic friction. The mass is pulled back 30.6 cm to the right and released. On the first right to left oscillation, the mass reaches 29.38 cm to the left. Part A What is the coefficient of friction? Part B To what distance does the mass return on the slide back...

Subjects