Answer :
This equation describes the change in kinetic energy of the block due to the force exerted on it as it moves a horizontal distance Δx.
What is kinetic energy?
Kinetic energy is the energy an object has due to its motion. It is the energy that an object has because of its mass and velocity. Kinetic energy is measured in joules (J). Kinetic energy increases as the mass of the object increases and as the velocity of the object increases. For example, a car moving at 30 miles per hour has more kinetic energy than a car moving at 10 miles per hour.
The change in kinetic energy of the block can be calculated using the following equation:
ΔKE = (1/2)Mv2f - (1/2)Mv2i
Where M is the mass of the block, v2f is the final speed of the block, and v2i is the initial speed of the block.
To calculate the final speed of the block, we can use the equation below.
v2f = v2i + (2FAcosθΔx / M)
Where FA is the magnitude of the force, θ is the angle of the force, and Δx is the horizontal displacement of the block.
Using this equation and the equation for the change in kinetic energy, we can derive an equation for the change in the block’s kinetic energy as it moves a horizontal distance Δx.
ΔKE = (1/2)M[v2i+(2FAcosθΔx/M)]2 - (1/2)Mv2i
This equation can be simplified to:
ΔKE = (FAcosθΔx)v2i + (FAcosθΔx)2/2M
This equation describes the change in kinetic energy of the block due to the force exerted on it as it moves a horizontal distance Δx. The first term of this equation represents the increase in kinetic energy due to the increase in speed, while the second term represents the increase in kinetic energy due to the work done by the force.
To learn more about kinetic energy
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