Three particles A, B, and C are thrown from t | vedclass

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

Question

(A) According to the law of conservation of mechanical energy, the total mechanical energy at the top of the tower must be equal to the total mechanic

Vedclass · Accepted Answer

$V_A = V_B = V_C$

Vedclass · Answer

(A) According to the law of conservation of mechanical energy, the total mechanical energy at the top of the tower must be equal to the total mechanical energy at the ground level.Let $m$ be the mass of each particle, $h$ be the height of the tower, and $u$ be the initial speed.At the top: $E_i = mgh + \frac{1}{2}mu^2$At the ground: $E_f = 0 + \frac{1}{2}mV^2$Since $E_i = E_f$, we have $mgh + \frac{1}{2}mu^2 = \frac{1}{2}mV^2$.This simplifies to $V^2 = u^2 + 2gh$, or $V = \sqrt{u^2 + 2gh}$.Since $u, g$, and $h$ are the same for all three particles, the final speed $V$ will be the same for all three particles regardless of the direction of projection.Therefore, $V_A = V_B = V_C$.

Three particles $A, B$, and $C$ are thrown from the top of a tower with the same speed $u$. Particle $A$ is thrown upwards, $B$ is thrown downwards, and $C$ is thrown horizontally. If they hit the ground with speeds $V_A, V_B$, and $V_C$ respectively, then:

Similar Questions

When a body is acted upon by a resultant force, then the work done by the resultant force is equal to

$A$ ball of mass $300 g$ is dropped from a height $10 m$ above a sandy ground. On reaching the ground,it penetrates through a distance $1.5 m$ in sand and finally stops. The average resistance offered by the sand to oppose the motion is (acceleration due to gravity $= 10 m s^{-2}$) (in $N$)

$A$ particle of mass $500 \,g$ is moving in a straight line with velocity $v = b x^{5/2}$. The work done by the net force during its displacement from $x = 0$ to $x = 4 \,m$ is ................... $J$ (Take $b = 0.25 \,m^{-3/2} s^{-1}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module