ALGEBRA - Proportional

The velocity ( v meters per second ) of a body is known to be proportional to the sqaure root of it's kinetic energy ( e ejoules). When the velocity of a body is 120m/s it's kinetic energy is 1600J.

Write down the relationship between v , e using k as the constant of varation.

Calculate the value of k

v = 21 , calculate the kenetic energy of the body in joules.


Can someone explain me please the right method in solving each quesion with the steps.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. v= k sqrtKe
    120=k sqrt 1600 solve for k, the proportionality constant.
    Then,

    v= k sqrt KE
    ke= (v/k)^2

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    👤
    bobpursley

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    The height, in meters, of a projectile can be modeled by h= -4.9t^2 + vt + s where t is the time (in seconds) the object has been in the air, v is the initial velocity (in meters per seconds) and s is the initial height (in

  2. physics

    A body moving in the positive x direction passes the origin at time t = 0. Between t = 0 and t = 1 second, the body has a constant speed of 24 meters per second. At t = 1 second, the body is given a constant acceleration of 6

  3. I need help with this ALGEBRA

    The velocity of sound in air is given by the equation  , where v is the velocity in meters per second and t is the temperature in degrees Celsius. Find the temperature when the velocity is 329 meters per second by graphing the

  4. physics

    A 10-kilogram body is constrained to move along the x-axis. The potential energy U of the body in joules is given as a function of its position x in meters by: U(x) = 6x^2 - 4x + 3 The force on the particle at x=3 meters is? Here

  1. Differential Equations

    A projectile was launched from the ground with a certain initial velocity. Militaries used a radar to determine the vertical coordinate y(t) of the projectile for two moments of time t measured in seconds from the moment when the

  2. Physical Science

    A car with a mass of 1.1 × 103 kilograms hits a stationary truck with a mass of 2.3 × 103 kilograms from the rear end. The initial velocity of the car is +22.0 meters/second. After the collision the velocity of the car is -11.0

  3. Maths

    A body of mass m falling from rest is subjected to the force of gravity and an air resistance proportional to the square of the velocity. If it falls through a distance x and posseses a velocity v at that instant then show that.

  4. Geometry

    A body of mass 15kg is placed on a smooth plane which is inclined at 60° to the horizontal. Find: a)the acceleration of the body as it moves down the plane b)the velocity that the body attains after 5s if: (i)it starts from rest

  1. physics

    1.A body with an initial velocity of 18km/hr accelerates uniformly at the rateof 9cm/sec2over a distance of 200m.Calculate, a)the acceleration in m/sec2 b)its final velocity in m/s 2.The distance travelled by a body moving with

  2. Physics

    A body of mass 2kg moving with velocity of 5m/s collides with a stationary body of mas 500g. if the two bodies move together after impact. calcalate the magnitude of their common velocity

  3. PHYSICS

    The only force acting on a 2.3 kg body as it moves along the positive x axis has an x component Fx = - 6x N, where x is in meters. The velocity of the body at x = 3.0 m is 8.0 m/s. At what positive value of x will the body have a

  4. Physics

    Air resistance acting on a falling body can be taken into account by the approximate relation for the acceleration: a= dv/dt = g - kv, where k is a constant. (a) Derive a formula for the velocity of the body as a function of time

View more similar questions or ask a new question.