A, both potential and kinetic energy as mechanical energy is the sum of potential and kinetic energy.
The moment of inertia of a point mass about an arbitrary point is given by:
I = mr²
I is the moment of inertia
m is the mass
r is the distance between the arbitrary point and the point mass
The center of mass of the system is located halfway between the 2 inner masses, therefore two masses lie ℓ/2 away from the center and the outer two masses lie 3ℓ/2 away from the center.
The total moment of inertia of the system is the sum of the moments of each mass, i.e.
I = ∑mr²
The moment of inertia of each of the two inner masses is
I = m(ℓ/2)² = mℓ²/4
The moment of inertia of each of the two outer masses is
I = m(3ℓ/2)² = 9mℓ²/4
The total moment of inertia of the system is
I = 2[mℓ²/4]+2[9mℓ²/4]
I = mℓ²/2+9mℓ²/2
I = 10mℓ²/2
I = 5mℓ²
The answer is very similar to the story and occasionally
Answer:
A. reduces the magnitude of the force required to stop the ball.
C. increases the contact time of the hand with the ball.
D. does neither increase nor decrease the impulse required to stop the ball.
Explanation:
As we know that the force required to stop the ball is given as

here we know that

so we have

now we know that time to stop the ball is increased due to which the force to stop the ball is decreased
so we have correct answer will be
A. reduces the magnitude of the force required to stop the ball.
C. increases the contact time of the hand with the ball.
D. does neither increase nor decrease the impulse required to stop the ball.
Answer:
The product of mass times velocity for both objects is the same.
Explanation:
They both have the same velocity. False
They both have the same mass. False: Because two objects of different masses can have the same momentum. The least massive of the two objects will have the greatest kinetic energy.
The product of mass times velocity for both objects is the same. True: Same momentum means that the large mass must have a small velocity; therefore, their product is equal to the small mass times a large velocity.
Mass and velocity is the same for both. False: Based on what was stated for the second option.