An object moving in a liquid experiences a linear drag force: d= (bv, direction opposite the motion), where b is constant called the drag coefficient. for a sphere of radius r, the drag constant can be computed as b = 6πηr, where η is the viscosity of the liquid. a. use what you've learned in calculus to prove thatb. find an algebraic expression for , the x-component of velocity as a funtion of distance traveled, for a spherical particle of radius r and mass m that is shot horizontally with initial speed through a liquid viscosity η.c. water at 20°c has viscosity . suppose a 1.0-cm-diameter, 1.0 g marble is shot horizontally into a tank of 20°c water at 10 cm/s. how far will it travel before stopping?

measuring things 1 litre of water

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.

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