The spring in the muzzle of a child's spring gun has a spring constant of 730 n/m. to shoot a ball from the gun, first the spring is compressed and then the ball is placed on it. the gun's trigger then releases the spring, which pushes the ball through the muzzle. the ball leaves the spring just as it leaves the outer end of the muzzle. when the gun is inclined upward by 31° to the horizontal, a 53 g ball is shot to a maximum height of 1.90 m above the gun's muzzle. assume air drag on the ball is negligible. (a) at what speed does the spring launch the ball? (b) assuming that friction on the ball within the gun can be neglected, find the spring's initial compression distance.

a. V=11.84 m/s

b.x=0.052m

Explanation:

a).

Given

,, .

b).

No friction on the ball so:

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

the answer is kevlar