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

In summary, a shopper applies a 25.0N force at a 25 degree angle downward from the horizontal to a 25.0kg cart initially at rest, pushing it a distance of 5.00m. The work done by the shopper is 113J and the final velocity of the cart can be calculated using the equation v=2*g*h, where h is the height determined from the free body diagrams.
  • #1
NewJersey
35
0
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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  • #2
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.
 
  • #3
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
 

1. What is the definition of final velocity of the cart?

The final velocity of the cart is the speed and direction at which the cart is moving at the end of its motion. It is a vector quantity that takes into account both magnitude and direction.

2. How is the final velocity of the cart calculated?

The final velocity of the cart can be calculated using the formula vf = vi + at, where vf is the final velocity, vi is the initial velocity, a is the acceleration, and t is the time interval. Another formula that can be used is vf = (vi + vf) / 2, where vf is the final velocity, vi is the initial velocity, and t is the time interval.

3. What factors affect the final velocity of the cart?

The final velocity of the cart is affected by the initial velocity, the acceleration, and the time interval. Other factors that may affect the final velocity include external forces such as friction and air resistance, as well as the mass and shape of the cart.

4. How does the final velocity of the cart relate to its kinetic energy?

The final velocity of the cart is directly proportional to its kinetic energy. This means that as the final velocity increases, so does the kinetic energy of the cart. Kinetic energy is calculated using the formula KE = 1/2 * m * v^2, where m is the mass of the cart and v is the final velocity.

5. Can the final velocity of the cart be greater than its initial velocity?

Yes, the final velocity of the cart can be greater than its initial velocity. This can occur if the cart is accelerating or if external forces are acting on it. However, if there is no external force acting on the cart, the final velocity will be equal to the initial velocity.

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