A ball of mass 0.5 kg, initially at rest, acquires a speed of 4 m/s immediately after being kicked by a force over a period of time 2 sec. What is the magnitude of the force?
1 N
0.5 N
2 N
4 N
a = 4m/s / 2s = 2m/s^2
F = ma
Or:
force * time = change of momentum
F * 2 = 0.5 * 4
To find the magnitude of the force, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration:
Force = mass × acceleration
Given:
Mass of the ball (m) = 0.5 kg
Acceleration (a) = change in velocity / time
The change in velocity is given as the difference between the final velocity and the initial velocity:
Change in velocity = final velocity - initial velocity
= 4 m/s - 0 m/s
= 4 m/s
The time taken (t) = 2 seconds.
Now we can calculate the acceleration:
Acceleration = (Change in velocity) / Time
= 4 m/s / 2 s
= 2 m/s^2
Using Newton's second law, we can determine the magnitude of the force applied to the ball:
Force = Mass × Acceleration
= 0.5 kg × 2 m/s^2
= 1 N
Thus, the magnitude of the force applied to the ball is 1 N.
To find the magnitude of the force, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the ball of mass 0.5 kg acquires a speed of 4 m/s over a period of 2 seconds.
Acceleration is defined as the change in velocity over time. Therefore, we can calculate the acceleration of the ball by dividing the change in velocity (4 m/s) by the time taken (2 seconds):
acceleration = (final velocity - initial velocity) / time taken
acceleration = (4 m/s - 0 m/s) / 2 s
acceleration = 4 m/s / 2 s
acceleration = 2 m/s^2
Now, using Newton's second law, we can find the magnitude of the force:
force = mass * acceleration
force = 0.5 kg * 2 m/s^2
force = 1 N
Therefore, the magnitude of the force acting on the ball is 1 N.