Question

A force of 10 N acts to the left and a force of 5 N acts to the right on an object of mass 1 kg. If its initial speed is zero , what is its velocity after 1 second ?

Answer 1

To find the velocity of the object after 1 second, subtract the forces, calculate the acceleration using Newton's Second Law, and use the equation of motion. The object's velocity after 1 second is 5 m/s to the right.

Step-by-step explanation:

To find the velocity of the object after 1 second, we need to determine the net force acting on the object and use it to calculate the acceleration. First, let's calculate the net force:

• The force acting to the left is 10 N.
• The force acting to the right is 5 N.
• Since the forces are in opposite directions, we need to subtract them: 10 N - 5 N = 5 N.

The net force is 5 N. Using Newton's Second Law, which states that force equals mass times acceleration (F = ma), we can calculate the acceleration:

• Mass (m) = 1 kg
• Acceleration (a) = 5 N / 1 kg = 5 m/s²

Finally, we can calculate the velocity using the equation of motion:

• Final velocity (v) = Initial velocity (u) + acceleration (a) × time (t)
• v = 0 + 5 m/s² × 1 s = 5 m/s

Therefore, the object's velocity after 1 second is 5 m/s to the right.

Answer 2

Answer: -5 m/s

Step-by-step explanation:

First find the net force by summing up the forces:

-10N + 5N = -5N

Use Newton's Second Law of motion to solve for the acceleration:

F = ma

-5N = 1kg(a)

a = -5 m/s^2

Use the first kinematic equation to solve for the final velocity:

Vf = Vi + at

Vf = 0 + (-5)(1)

Vf = -5 m/s