What Is the Final Velocity of a Cart Pushed with a Force at an Angle?

AI Thread Summary
The discussion focuses on calculating the work done and final velocity of a cart pushed at an angle. A shopper pushes a 25.0 kg cart with a force of 25.0 N at a 25-degree angle over 5.00 m. The work done by the shopper is calculated using the formula W = F * cos(θ) * d, resulting in 113 J. For the final velocity, the equation v = √(2gh) is suggested, leading to a calculated final velocity of approximately 9.9 m/s. Understanding the forces involved and using free body diagrams is emphasized for accurate calculations.
NewJersey
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A shopper pushes a 25.0kg cart intially at rest with a froce of 25.0N directed at an angel 25 degress downward from the horizontal over a distance of 5.00m

a) the work done by th shopper is ?
b) The final velocity of the cart is
 
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You'll need to know the equation for finding work done. If you draw out what is happening and then apply the forces of gravity, normal force, and force forward, you'll be able to determine the final velocity without much issue.

I'm noticing that if you have the equations for your various questions as well as draw some free body diagrams (images depicting all forces acting on the object), you probably will be able to get them without much issue.
 
W= F*cosO * X

So 25*cos 25 * 5= 113J
is this write

b) v= 2*g*h the square root of that answer
so it 9.9
 

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