A metal ball of mass 2 kg moves with a speed | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Given: $m_1 = 2 \ kg$,$u_1 = 36 \ km/hr = 36 	imes \frac{5}{18} = 10 \ m/s$,$m_2 = 3 \ kg$,$u_2 = 0 \ m/s$. According to the law of conservation

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(B) Given: $m_1 = 2 \ kg$,$u_1 = 36 \ km/hr = 36 	imes \frac{5}{18} = 10 \ m/s$,$m_2 = 3 \ kg$,$u_2 = 0 \ m/s$. According to the law of conservation of linear momentum: $m_1 u_1 + m_2 u_2 = (m_1 + m_2)v$. $(2)(10) + (3)(0) = (2 + 3)v \implies 20 = 5v \implies v = 4 \ m/s$. Initial kinetic energy $K_i = \frac{1}{2} m_1 u_1^2 = \frac{1}{2} 	imes 2 	imes (10)^2 = 100 \ J$. Final kinetic energy $K_f = \frac{1}{2} (m_1 + m_2) v^2 = \frac{1}{2} 	imes (2 + 3) 	imes (4)^2 = \frac{1}{2} 	imes 5 	imes 16 = 40 \ J$. Loss in kinetic energy $\Delta K = K_i - K_f = 100 \ J - 40 \ J = 60 \ J$.

$A$ metal ball of mass $2 \ kg$ moves with a speed of $36 \ km/hr$. It collides with a stationary ball of mass $3 \ kg$. If both balls move together after the collision,the loss in kinetic energy due to the collision is ........... $J$.

Similar Questions

$A$ bag of sand of mass $9.8 \, kg$ is suspended by a rope. $A$ bullet of mass $200 \, g$ travelling with a speed of $10 \, ms^{-1}$ gets embedded in it. The loss of kinetic energy will be $... J$.

Statement $1$: In a perfectly inelastic collision,the total energy of two particles moving in the same direction is not completely lost.
Statement $2$: The principle of conservation of momentum is valid for all types of collisions.

$A$ bullet of mass $a$ moving with velocity $b$ strikes a block of mass $c$ and gets embedded in it. Find the velocity of the block.

$A$ mass $m$ moving horizontally (along the $x-$axis) with velocity $v$ collides and sticks to a mass of $3m$ moving vertically upward (along the $y-$axis) with velocity $2v$. The final velocity of the combination is

$A$ particle of mass $m$ moves with velocity $v$ towards the East. It collides with another particle of the same mass and same speed moving towards the North and sticks to it. What will be the velocity of the combined particles?

Vedclass Test Series

Exam Paper Generator

Online Exam Module