How Fast Will a Block Travel After Being Pulled on a Frictionless Surface?

In summary, a 2.7 kg block is pulled to the right along a horizontal, frictionless surface by a constant force of 17.3 N. The speed of the block after it has moved 4 m can be found using the equation vf = vo + at, where vf is the final velocity, vo is the initial velocity (in this case, 0 m/s), a is the acceleration (which can be calculated using Fnet/mass), and t is the time (which can be found using the equation x = vot + 0.5at^2). Plugging in the given values, the final velocity is approximately 6.41 m/s.
  • #1
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Homework Statement



A 2.7 kg block initially at rest is pulled to the right along a horizontal, frictionless surface
by a constant, horizontal force of 17.3 N. Find the speed of the block after it has
moved 4 m. Answer in units of m/s.

Homework Equations


a=Fnet/mass


The Attempt at a Solution


17.3N/2.7Kg=6.40741m/s now what
 
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  • #2


since the force is constant , this implies that the acceleration is constant as well .. so in this case you can use one of the kinematic equations ..

vf = vo + a*t .. (vf=final velocity,vo=initial velocity,a=acceleration,t=time)
vf^2 = vo^2 +2ax (x = distance of travel)
x = vo*t + 0.5*a*t

you have now a, in the question it is said that the block initially at rest(what that tells you about the initial velocity?), you have x , I think with these quantities you can find the final velocity(in other words, the velocity after the block has moved x=4m) ..
 

Related to How Fast Will a Block Travel After Being Pulled on a Frictionless Surface?

1. What is a horizontal force problem?

A horizontal force problem is a physics problem that involves calculating the motion of an object under the influence of one or more horizontal forces. These forces can be applied by external objects, such as pushing or pulling, or can be caused by internal factors, such as friction or air resistance.

2. How do you solve a horizontal force problem?

To solve a horizontal force problem, you first need to identify all the horizontal forces acting on the object. Then, you can use Newton's Second Law of Motion (F=ma) to calculate the acceleration of the object. Finally, you can use kinematic equations to determine the object's displacement, velocity, and time of travel.

3. What are some common examples of horizontal force problems?

Some common examples of horizontal force problems include pushing a box across a flat surface, a car accelerating on a horizontal road, and a person swinging on a horizontal rope. These problems involve calculating the motion of an object under the influence of one or more horizontal forces.

4. How do horizontal force problems differ from vertical force problems?

Horizontal force problems differ from vertical force problems in that they involve forces acting in the horizontal direction, while vertical force problems involve forces acting in the vertical direction. Additionally, horizontal force problems often involve friction and air resistance, while vertical force problems may involve gravity and buoyancy.

5. How can understanding horizontal force problems be useful?

Understanding horizontal force problems can be useful in a variety of fields, including engineering, physics, and sports. It can help engineers design structures and machines that can withstand or utilize horizontal forces. In physics, it can help explain the motion of objects in real-world scenarios. In sports, it can help athletes understand how to use or overcome horizontal forces to their advantage.

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