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An astronaut accidentally gets separated...

An astronaut accidentally gets separated out his small spaceship accelerating in interstellar space at a constant rate of `100ms^(-2)` . What is the acceleration of the astronaut the instant after he is outside the spaceship? (Assume that there are no nearby stars to exert gravitional force on him)

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To solve the problem, we need to analyze the situation of the astronaut after he gets separated from the spaceship. Here’s the step-by-step solution: ### Step 1: Understand the scenario The astronaut is initially inside a spaceship that is accelerating at a constant rate of \(100 \, \text{m/s}^2\). When he gets separated from the spaceship, we need to determine his acceleration at that instant. ### Step 2: Identify forces acting on the astronaut Since the problem states that there are no nearby stars to exert gravitational force on the astronaut, we need to consider the forces acting on him. The only forces that could act on him would be gravitational forces from nearby celestial bodies or the spaceship itself. ...
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Ram and Ali have been fast friends since childhood. Ali neglected studies and now has no means to earn money other than a channel whereas Ram has become an engineer. Now both are working in the same factory. Ali uses camel to transport the load within the factory. Due to low salary and degradation in health of camel, Ali becomes worried and meets his friend Ram and discusses his problems. Ram collected some data and with some assumptions concluded the following: i. The load used in each trip is 1000kg and has friction coefficient mu_k=0.1 and mu_s=0.2 . ii. Mass of camel is 500kg . iii. Load is accelerated for first 50m with constant acceleration, then it is pulled at a constant speed of 5ms^-1 for 2km and at last stopped with constant retardation in 50m . iv. From biological data, the rate of consumption of energy of camel can be expressed as P=18xx10^3v+10^4Js^-1 where P is the power and v is the velocity of the camel. After calculations on different issues, Ram suggested proper food, speed of camel, etc. to his friend. For the welfare of Ali, Ram wrote a letter to the management to increase his salary. (Assuming that the camel exerts a horizontal force on the load): Sign of work done by the camel on the load during parts of motion, accelerated motion, uniform motion and retarded motion, respectively are

Ram and Ali have been fast friends since childhood. Ali neglected studies and now has no means to earn money other than a channel whereas Ram has become an engineer. Now both are working in the same factory. Ali uses camel to transport the load within the factory. Due to low salary and degradation in health of camel, Ali becomes worried and meets his friend Ram and discusses his problems. Ram collected some data and with some assumptions concluded the following: i. The load used in each trip is 1000kg and has friction coefficient mu_k=0.1 and mu_s=0.2 . ii. Mass of camel is 500kg . iii. Load is accelerated for first 50m with constant acceleration, then it is pulled at a constant speed of 5ms^-1 for 2km and at last stopped with constant retardation in 50m . iv. From biological data, the rate of consumption of energy of camel can be expressed as P=18xx10^3v+10^4Js^-1 where P is the power and v is the velocity of the camel. After calculations on different issues, Ram suggested proper food, speed of camel, etc. to his friend. For the welfare of Ali, Ram wrote a letter to the management to increase his salary. (Assuming that the camel exerts a horizontal force on the load): Maximum power transmitted by the camel to load is

NCERT ENGLISH-LAWS OF MOTION -EXERCISE
  1. An astronaut accidentally gets separated out his small spaceship accel...

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  2. Give the magnitude and direction of the net force acting on (a) a dr...

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  3. A pebble of mass 0.05 kg is thrown vertically upwards Give the magnitu...

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  4. Give the magnitude and direction of the force acting on a stone of mas...

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  5. One end of string of length l is connected to a particle on mass m and...

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  6. A constant retarding force of 50 N is applied to a body of mass 20 kg ...

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  7. A constant force acting on a body of mass 3 kg changes its speed from ...

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  8. A body of mass 5 kg is acted upon by two perpendicular forces 8 N and ...

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  9. The driver of a three wheeler moving with a speed of 36 km//h sees a c...

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  10. A rocket with a lift off mass 20000 kg is blasted upwards with a net i...

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  11. A body of mass 0.40 kg moving initially with a constant speed of 10 m...

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  12. A truck starts from rest and accelerate uniformly with 2 ms^(-2). At t...

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  13. A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m l...

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  14. A man of mass 70 kg stands on a weighing machine in a lift, which is m...

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  15. Fig. shows the position-time graph of a particle of mass 4 kg. What is...

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  16. Two bodies of masses 10 kg and 20 kg respectively kept on a smooth hor...

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  17. Two masses 8 kg and 12 kg are connected at the two ends of a light in ...

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  18. A nucleus is at rest in the laboratory frame of reference. Show that i...

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  19. Two billiard balls each of mass 0.05 kg moving in opposite directions ...

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  20. A shell of mass 200g is fired by a gun of mass 100kg. If the muzzle sp...

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  21. A batsman deflects a ball by an angle of 45^(@) without changing its i...

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