Question 1:
easy
A 1 kg mass has a kinetic energy of 1 joule when its speed is :
Question 2:
easy
When the velocity of a body is doubled :
Momentum of an object is P = m.v
So, when velocity is doubled momentum also doubles
Question 3:
easy
If the kinetic energy of a body increases by 800%, its momentum increases by
The momentum \(P\) is related to kinetic energy \(K\) by \(P = \sqrt{2mK}\). An 800% increase means the new kinetic energy is \(K' = 9K\). Thus, the new momentum is \(P' = \sqrt{9} P = 3P\), representing an increase of 200%.
Question 4:
easy
Two masses \( 4m \) and \( 9m \) move with equal kinetic energy. The ratio of the magnitude of their momenta is:
Since kinetic energy \( K \) is the same for both masses, the momentum is proportional to the square root of the mass, \( p = \sqrt{2mK} \). Thus, the ratio of their momenta is \( \frac{p_1}{p_2} = \sqrt{\frac{4m}{9m}} = \frac{2}{3} \).