Kyle, a 95.0 kg football player, leaps straight up into the air (with no horizontal velocity) to catch a pass. he catches the 0.430 kg ball precisely at the peak of his jump, when he is 0.538 meters off the ground. he hits the ground 0.0307 meters away from where he leapt. if the ball was moving horizontally when it was caught, how fast was the ball /s

The velocity of ball is 20.63 m/s.

Explanation:

Given that,

Mass of football player = 95.0 kg

Mass of ball = 0.430 kg

Distance = 0.538

We need to calculate the time

Using equation of motion

We need to calculate the velocity

Using formula of velocity

Put the value into the formula

We need to calculate the velocity of ball

Using conservation of momentum

Put the value into the formula

Hence, The velocity of ball is 20.63 m/s.

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:

kepler used the data from tycho blahe (his mentor) to construct the laws of planetary motion.