Bob has just finished climbing a sheer cliff above a beach, and wants to figure out how high he climbed. all he has to use, however, is a baseball, a stopwatch, and a friend on the beach below with a long measuring tape. bob is a pitcher and he knows that the fastest he can throw the ball is about =34.1 m/s. v0=34.1 m/s. bob starts the stopwatch as he throws the ball (with no way to measure the ball's initial trajectory), and watches carefully. the ball rises and then falls, and after =0.510 st1=0.510 s the ball is once again level with bob. bob cannot see well enough to time when the ball hits the ground. bob's friend then measures that the ball landed =126 mx=126 m from the base of the cliff. how high up is bob, if the ball started exactly 2 m above the edge of the cliff?

56.0 m

Explanation:

We know that after 0.510 s, the ball is level with Bob again.  We can use this to find the vertical component of the initial velocity.

y = y₀ + v₀ᵧ t + ½ gt²

h+2 = h+2 + v₀ᵧ (0.510) + ½ (-9.8) (0.510)²

v₀ᵧ = 2.50 m/s

Since the magnitude is 34.1 m/s, we can now find the horizontal component:

v₀² = v₀ₓ² + v₀ᵧ²

(34.1)² = v₀ₓ² + (2.50)²

v₀ₓ = 34.0 m/s

And since we know the ball lands 126 m from the base of the cliff, we can find the time it takes to land:

x = x₀ + v₀ₓ t + ½ at²

126 = 0 + (34.0) t + ½ (0) t²

t = 3.71 s

Finally, we can now find the height of the cliff:

y = y₀ + v₀ᵧ t + ½ gt²

0 = h+2 + (2.50) (3.71) + ½ (-9.8) (3.71)²

h = 56.0 m

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:

what is the actual question though?