Answer:
The kinetic energy of the baseball is 306.25 joules.
Explanation:
SInce the baseball can be considered a particle, that is, that effects from geometry can be neglected, the kinetic energy (), in joules, is entirely translational, whose formula is:
(1)
Where:
- Mass, in kilograms.
- Speed, in meters per second.
If we know that and
, then the kinetic energy of the baseball thrown by the player is:
The kinetic energy of the baseball is 306.25 joules.
Answer:
Explanation:
Consider two solenoids that are wound on a common cylinder as shown in fig. 1. Let the cylinder have radius 'ρ' and length 'L' .
No. of turns of solenoid 1 = n₁
No. of turns of solenoid 1 = n₂
Assume that length of solenoid is much longer than its radius, so that its field can be determined from Ampère's law throughout its entire length:
We will consider the field that arises from solenoid 1, having n₁ turns per unit length. The magnetic field due to solenoid 1 passes through solenoid 2, which has n₂ turns per unit length.
Any change in magnetic flux from the field generated by solenoid 1 induces an EMF in solenoid 2 through Faraday's law of induction:
Consider B₁(t) magnetic feild generated in solenoid 1 due to current I₁(t)
Using:
--- (2)
Flux generated due to magnetic field B₁
---(3)
area of solenoid =
substituting (2) in (3)
----(4)
We have to find electromotive force E₂(t) induced across the entirety of solenoid 2 by the change in current in solenoid 1, i.e.
---- (5)
substituting (4) in (5)
