A spaceship is at rest in deep space. Its thrusters provide a force of The spaceship fires its thrusters for s, then coasts for km. How long does it take the spaceship to coast this distance?
Distance is coasted by spaceship in time .
The force exerted on a mass that causes it to change velocity.
Newton's first law of motion states that an item remains at rest or in uniform motion until it is acted with by a net external force.
The quantity of force exerted on an object is equal to the product of its mass and the acceleration generated, according to Newton's second equation of motion.
The final velocity of an object with starting velocity and accelerated with acceleration for time is described by kinematics first law as .
The object in this scenario is a spacecraft on which a force is applied first, causing its velocity to grow, and then the force is removed, and the spaceship moves freely in a uniform motion.
Spaceship mass ,
Thrusters force ,
Force time applied ,
Coasting distance ,
Initial velocity .
Formula for acceleration,
Formula for final velocity,
Formula for coasting time,
Hence, moving with uniform velocity it takes to coast .
An object moving in a liquid experiences a linear drag force: , direction opposite to the motion), where is a constant called the drag coefficient. For a sphere of radius the drag constant can be computed as , where is the viscosity of the liquid.
a. Find an algebraic expression for , the -component as a function of time, for a spherical particle of radius and mass that is shot horizontally with initial speed through a liquid of viscosity .
b. Water at has viscosity . Suppose a -diameter, ball is shot horizontally into a tank of water. How long will it take for the horizontal speed to decrease to of its initial value?
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