A massless rope is stretched horizontally between two supports that are 3.0 m apart. When an object of weight 3200 N is hung at the center of the rope, the rope is observed to sag by 50 cm. Calculate the tension in the rope
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Consider a simple pendulum of mass m mounted inside a railroad car that is accelerating to the right with constant acceleration a. Analyse this problem in the non inertial frame of reference to find the angle with the vertical direction at which the pendulum will remain at rest relative to the moving car.
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विरामावस्था में स्थित द्रव्यमान वाली एक गेंद
की ऊँचाई से गिरती है और जमीन से टकराती है। टकराने के बाद वह उछलकर
की ऊँचाई तक पहुँच जाती है। जमीन से टक्कर का समयांतराल
है। (i) जमीन से टकराने के ठीक पहले गेंद का संवेग, (ii) जमीन से टकराने के ठीक बाद गेंद का संवेग और (iii) जमीन द्वारा गेंद पर लगाया गया औसत बल परिकलित करें।
The comet Encke has an aphelion distance of and perihelion distance of
. The mass of the sun is
. Find the speed of the comet at the perihelion and the aphelion.
A massless rope is stretched horizontally between two supports that are 3.0 m apart. When an object of weight 3200 N is hung at the center of the rope, the rope is observed to sag by 50 cm. Calculate the tension in the rope
The speed of an aeroplane is . The engines take in 80 kg of air per second and mix it with 40 kg of fuel. This mixture is expelled after it ignites and it moves at a velocity of
relative to the aeroplane. Calculate the thrust of the engine.
A particle of mass , initially moving with a velocity of
collides elastically with a particle of mass
, initially moving with a velocity of
. What are the velocities of the two particles before and after the collision in the centre of mass frame of reference? What are the velocities of the two particles after the collision in the laboratory frame?