A ball has a 17 J of kinetic energy and its mechanical energy ls 25 Joule.  a. Find the gravitational potential energy of the ball.

Question:

A ball has a 17 J of kinetic energy and lB mechanical energy is 25 Joule

a. Find the gravitational potential energy of the ball.  

b. if the ball has a mass of 3.2 kg, what is its height above the ground?  

c. What is the speed of the ball?

a.  = 85

b. h = 0.25 m

c. = 3.26 m/s

Explanation:

Part A

PEgrav = m ו g • h

In the above equation, m represents the mass of the object, h represents the height of the object and g represents the gravitational field strength (9.8 N/kg on Earth) - sometimes referred to as the acceleration of gravity. So, to find:

GPE = ME - KE = 25 - 17 = 85

Part B

The formula simplifies to: h max = h + V₀² / (2 × g) and the time of flight is the longest.

The vertical velocity is equal to 0 (Vy = 0), and that's the case of horizontal projectile motion.

The equation may be written as:

    GPE = mgh

    8 = 3.2 × 10 × h

    h = 0.25 m

Part C

The ball speed is calculated by dividing the distance by the time. If the time was 3 seconds, the average speed will be 60/3 = 20 feet per second (6.1 m/sec). KE = 1/2 MV²

            17 = 1/2 × 3.2 x V²

            V = 17 ÷ 1.6

Note, this is only the average ball speed, the speed of the ball at the time of release would be greater.

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: