A body of mass 5 kg moving on a horizontal surface with a velocity of ...
Given information:
- Mass of the body, m = 5 kg
- Initial velocity, u = 10 m/s
- Final velocity, v = 0 m/s
- Time taken, t = 2 s
Calculating acceleration:
Using the equation of motion: v = u + at, we can rearrange it to find acceleration:
0 = 10 + a * 2
a = -5 m/s²
Calculating the force required:
Force can be calculated using Newton's second law of motion: F = ma, where F is the force, m is the mass, and a is the acceleration.
F = 5 * (-5) = -25 N
The negative sign indicates that the force is acting in the opposite direction of motion.
Explanation:
When the body comes to rest, it experiences a deceleration. This deceleration is caused by a force acting in the opposite direction of its motion. The magnitude of this force can be determined by calculating the acceleration of the body.
Since the body goes from an initial velocity of 10 m/s to a final velocity of 0 m/s in a time of 2 seconds, the acceleration can be calculated using the equation of motion. The negative sign indicates that the body is decelerating.
Once the acceleration is known, the force required to produce this acceleration can be calculated using Newton's second law of motion. The force is equal to the product of mass and acceleration. In this case, the force is -25 N, indicating that a force of 25 N is required to decelerate the body.
Summary:
To make the body move with a velocity of 20 m/s on the same surface, a force of 25 N is required. This force is in the opposite direction of motion and is determined by calculating the acceleration of the body when it comes to rest.
A body of mass 5 kg moving on a horizontal surface with a velocity of ...
100N
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