A particle A of mass moving along the x-axis with speed
collides elastically with a particle B of equal mass which is initially at rest. After the collision, particle A moves at an angle of
above the x-axis. Calculate the velocities of the two particles after the collision.
We are asked to solve a 2D elastic collision problem where the masses are equal. Let’s solve it step by step. Given: * Masses: ( m_A = m_B = 2.0\ \text{kg} ) * Initial velocity: ( u_A = 5.0\ \text{m/s},\ u_B = 0\ \text{m/s} ) * Particle A moves at (\theta_A = 60^\circ) after collision. Let (v_A) and (v_B) be the speeds of particles A and B after collision, and let (\theta_B) be the angle of B with the x-axis. Step 1: Use momentum conservation Momentum is conserved in x and ____ ___ ______ __________ ___.
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एक प्रगामी तरंग को नीचे दिए गए समीकरण द्वारा निरूपित किया जाता है :$
इस तरंग की संचरण दिशा निर्धारित करें तथा इसका आयाम, तरंग संख्या, तरंगदैर्घ्य एवं आवृत्ति परिकलित करें।
एक घर्षणहीन ऊर्ध्वाधर धुरी पर स्थित द्रव्यमान और त्रिज्या
वाली एक डिस्क प्रारम्भ में विरामस्थ है। डिस्क के किनारे पर
के लिए
का एक अचर स्पर्शरेखीय बल लगाया जाता है। डिस्क का i) कोणीय त्वरण ii)
के बाद कोणीय चाल iii)
के बाद कोणीय संवेग, और iv)
के बाद घूर्णी गतिज ऊर्जा ज्ञात करें।
यदि हैली पुच्छल तारे का आवर्तकाल 75.3 वर्ष हो, तो उसके अर्ध-दीर्घ अक्ष की लंबाई ज्ञात करें। यदि कक्षा के रविनीच दूरी का मान है, तो रविउच्च दूरी के मान की गणना करें।
Two collinear harmonic oscillations, each of frequency , have amplitudes, a1 and a2 and initial phases,
and
, respectively. Show that, when these oscillations are superposed, the amplitude of the resultant motion is equal to (a1 - a2). What will be the value of the resultant amplitude when
and
.
A girl of mass stands in an elevator. Obtain the force which the floor of the lift exerts on the girl
i) when the lift has an upward acceleration of ; ii) when the lift is rising at constant speed and iii) when the lift has a downward acceleration of
. Draw the free body diagram. Take
.
A block of mass is moved up from the base a rough inclined plane making an angle of
with the horizontal with initial speed
. The coefficient of kinetic friction between the block and the plane is 0.2. Calculate
i) the maximum distance the block travels up the incline before coming to rest.
ii) the speed of the block when it returns to the base of the inclined plane.
iii) the energy lost over the entire motion. Take .