How Does Constant Force Affect Kinetic Energy Over Time?

In summary, a bead with a mass of 1.8x10^-2 kg is moving along a wire in the positive direction of an x axis. At time=0, the bead passes through x=0 with a speed of 12m/s. A constant force acts on the bead and the picture shows its position at t0=0 sec., t1=1.0 sec., t2=2.0 sec., t3=3.0 sec. The bead momentarily stops at t=3.0 sec. The kinetic energy equation is K=(.5)mv^2 and the equation for final velocity is vf^2=vi^2+2ad. The initial kinetic energy is 1.296
  • #1
foxcub156
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Homework Statement


A bead with mass (1.8x10^-2)kg is moving along a wire in the positive direction of an x axis. Beginning at time=0, when the bead passes through x=0 with speed 12m/s, a constant force acts on the bead, the picture indicates the bead's position at these four times: t0=0 sec., t1=1.0 sec., t2=2.0 sec., t3=3.0 sec., The bead momentarily stops at t=3.0 sec. What's the kinetic energy of the bead as t=10 sec?

Homework Equations


K=(.5)mv^2

vf^2=vi^2+2ad

The Attempt at a Solution



Is the answer K=1.296? I really think it's wrong.
 
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  • #2
That seems to be the initial KE, If under constant force it took 3 seconds to stop, what will the velocity be after 10s?
 

FAQ: How Does Constant Force Affect Kinetic Energy Over Time?

What is kinetic energy?

Kinetic energy is the energy an object possesses due to its motion. It is a scalar quantity and is measured in joules (J).

How is kinetic energy calculated?

The formula for calculating kinetic energy is KE = 1/2 * m * v^2, where m is the mass of the object and v is its velocity.

What are the different types of kinetic energy?

There are three main types of kinetic energy: translational, rotational, and vibrational. Translational kinetic energy is the energy an object possesses due to its linear motion. Rotational kinetic energy is the energy an object possesses due to its rotational motion around an axis. Vibrational kinetic energy is the energy an object possesses due to its vibrational motion.

How does kinetic energy relate to potential energy?

Kinetic and potential energy are two forms of energy that can be interchanged. Kinetic energy is the energy an object possesses due to its motion, while potential energy is the energy an object possesses due to its position or state. For example, when an object falls, its potential energy decreases and its kinetic energy increases.

What factors affect the amount of kinetic energy an object has?

The amount of kinetic energy an object has is affected by its mass and velocity. Objects with greater mass and/or velocity will have more kinetic energy. Additionally, external forces such as friction can also affect an object's kinetic energy by either increasing or decreasing it.

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