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. 👍 0
  2. 👎 0
  3. 👁 323
  1. v= k sqrtKe
    120=k sqrt 1600 solve for k, the proportionality constant.

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

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions


    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

  2. physics-speed

    i need help with this one thanks A particle starts from rest and is acted on by a net force that does work at a rate that is proportional to the time t. The speed of the particle is proportional to: a. sq. root t b. t c. t^2

  3. Calculus (math)

    Warfarin is a drug used as an anticoagulant. After administration of the drug is stopped, the quantity remaining in a patient's body decreases at a rate proportional to the quantity remaining. Suppose that the half-life of

  4. 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

  1. 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

  2. IPC

    A motorcyclist changes the velocity of his bike from 20.0 meters/second to 35.0 meters/second under a constant acceleration of 4.00 meters/second2. How long does it take the bike to reach the final velocity?

  3. 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

  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

  1. calculus

    Suppose that the velocity of a falling body is v = k/s (k a constant) at the instant the body has fallen s meters from its starting point. Find the body's acceleration as a function of s.

  2. Physics

    A body is projected vertically up with a velocity 98m/s after 2sec if the acceleration disappears the velocity of the body at the end of 3sec??

  3. College Physics

    The only force acting on a 3.9 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. (a) What is the velocity of the body at x = 4.0

  4. 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

You can view more similar questions or ask a new question.