An astronaut accidentally gets separated out his small spaceship accelerating in interstellar space at a constant rate of $100m{s}^{-2}$ . 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)

An astronaut accidentally gets separateed out of his small spaceship accelerating in inter-stellar space at a constant rate of $50m{s}^{-2}$. What is the acceleration of the astronaut the instant after he is outside the spaceship? (Assume that there are no nearby stars to exert gravitational force on him.)

An astronaut accidentally gets thrown out of his small spaceship accelerating in interstellar space at a constant rate. What is the acceleration of the astronaut, the instant after he is outside the spaceship?

Suppose the acceleration due to gravity at earth's surface is $10m{s}^{-2}$ and at the surface of Mars it is $4.0m{s}^{-2}$. A passenger goes from the earth to the mars in a spaceship with a constant velocity. Neglect all other object in sky. Which part of figure best represent the weight (net gravitational force) of the passenger as a function of time?

A cylclist is riding with a speed of $27km{h}^{-1}$. As he approaches a circular turn on the road of radius $80m$, he applies brakes and reduces his speed at the constant rate of $0.5m{s}^{-2}$. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn ?

A cyclist is riding with a speed of $27km{h}^{-1}$. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate $0.5m{s}^{-2}$. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn ?

If accleration due to gravity on the surface of earth is $10m{s}^{-2}$ and let acceleration due to gravitational acceleration at surface of another planet of our solar system be $5m{s}^{-2}$ An astronaut weighing $50kg$ on earth goes to this planet in spaceship with a constant velcity The weight of the astronaut with time of fiight is roughly given by
.

Two vertical cylinders are connected by a small tube at the bottom. It contains a gas at constant temperature . Initially the pistons are located at the same height. The diameters of the two cylinders are different . Outside the cylinder the space is vaccum . Gravitational acceleration is $h,h_0=20cm,m_1=2kg\text{and}{m}_2=1kg$. The pistons are initially in equilibrium. If the masses of the piston are interchanged find the separation between the two pistons when they are again in equilibrium. Assume constant temperature .

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 $5m{s}^{-1}$ 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 $P=18\times {10}^{3}v+{10}^{4}J{s}^{-1}$ 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):
The ratio of the energy consumed by the camel during uniform motion for the two cases when it moves with speed $5m{s}^{-1}$ to the case when it moves with $10m{s}^{-1}$

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 $5m{s}^{-1}$ 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 $P=18\times {10}^{3}v+{10}^{4}J{s}^{-1}$ 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 $5m{s}^{-1}$ 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 $P=18\times {10}^{3}v+{10}^{4}J{s}^{-1}$ 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