The baseball will undergo 16 revolutions on its way to home plate.
Explanation:
As the parameters which are given are speed at which the baseball is thrown, (v = 90 mi/h) and the distance between the home plate and the ball thrown is 60 ft. Also the spin is said to 1950 rev/min, it indicates that the ball will undergo 1950 revolution in every single minute. So in order to determine the number of revolutions the baseball will make in its way to home plate, we have to first determine the time taken for the baseball to reach its home plate with the given speed.
As we know that speed can be obtained by the ratio of distance with time, in the present case, we know the speed and distance, then time can be obtained by ratio of distance with speed.
At first, we have to convert the speed from mi/h to ft/min
1 mi/hr = 5280/ 60 ft/min = 88 ft/min.
Then, Time = Distance/Speed = 60/(90×80)=60/7200=8.33 × 10⁻³ min
Since the ball undergoes 1950 revolutions in 1 min, then in 8.33 × 10⁻³ min, the number of revolutions will be 1950×8.33 × 10⁻³ = 16 rev
Thus, the baseball will undergo 16 revolutions on its way to home plate.
<h2>
<u>KINETIC ENERGY</u></h2>
<h3>Problem:</h3>
» Kinetic energy of 35 J and a mass of 34 kg, how fast is the object moving?
<h3>Answer:</h3>
— — — — — — — — — —
<h3>Formula:</h3>
To calculate the velocity of a kinetic energy, we can use formula
where,
- v is the velocity in m/s
- KE is the kinetic energy in J (joules)
- m is the mass in kg
Based on the problem, the givens are:
- KE (Kinetic energy) = 35 J
- m (mass) = 34 kg
- v (velocity) = ? (unknown)
<h3>Solution:</h3>
To get the velocity, substitute the givens in the formula above then solve.
Therefore, the velocity is 1.435 m/s.
<span>The waves with the longest wavelengths in the electromagnetic spectrum are "Radio Waves"
So, option D is your answer
Hope this helps!
</span>
Answer:
3260.33 J
Explanation:
= number of rods = 5
= length of each rod = 0.715 m
= mass of rod = 2.51 kg
= total moment of inertia
Total moment of inertia is given as
= 2.14 kgm²
= angular speed = 527 rpm = 55.2 rad/s
Rotational kinetic energy is given as
E = (0.5) ( )²
E = (0.5) (2.14) (55.2)²
E = 3260.33 J