If a player kicks a stationary football with a horizontal force of 25 N (Newtons), what will be the football's acceleration? How far will the football move in 2.0 seconds? The mass of the football is 0.40 kg.
Given:
Force = 25N
Time = 2.0 seconds
Mass of football = 0.40 kg
So first, we have to solve for the acceleration.
a = F/m = 25N/0.40kg = 62.5 m/s^2
a = 62.5 m/s^2
How far will the football move in 2.0 seconds?
Now that we have the acceleration, it is now time to calculate the distance.
d = 1/2 * a * t^2 = 1/2 x 62.5 m/s^2 x 2.0s^2 = 125 m
d = 125m
The football's acceleration is 62.5m/s^2
The football will move up to 125 meters in 2.0 seconds
Hope this helps and keep on learning!
To find the acceleration of the football, you can use Newton's second law, which states that the force applied to an object is equal to its mass multiplied by its acceleration. In this case, the force applied is 25 N (Newtons), and the mass of the football is 0.40 kg.
First, let's find the acceleration. We can rearrange the formula to solve for acceleration:
Force = Mass × Acceleration
Acceleration = Force / Mass
Plugging in the values, we have:
Acceleration = 25 N / 0.40 kg
Acceleration = 62.5 m/s^2
Therefore, the football's acceleration is 62.5 m/s^2.
To find the distance the football will move in 2.0 seconds, we can use the equation of motion:
Distance = Initial Velocity × Time + (1/2) × Acceleration × Time^2
Since the football starts from rest (stationary), the initial velocity is 0 m/s. Plugging in the values, we have:
Distance = 0 m/s × 2.0 s + (1/2) × 62.5 m/s^2 × (2.0 s)^2
Distance = 0 + 0.5 × 62.5 m/s^2 × 4.0 s^2
Distance = 0.5 × 62.5 m/s^2 × 4.0 s^2
Distance = 125.0 m
Therefore, the football will move a distance of 125.0 meters in 2.0 seconds.
To find the acceleration of the football, we can use Newton's second law of motion:
Force = mass * acceleration
Given:
Force = 25 N
Mass = 0.40 kg
Rearranging the formula:
acceleration = Force / mass
Substituting the given values:
acceleration = 25 N / 0.40 kg
acceleration = 62.5 m/s^2
Therefore, the football's acceleration is 62.5 m/s^2.
To find the distance the football will move in 2.0 seconds, we can use the equation of motion:
distance = initial velocity * time + 0.5 * acceleration * time^2
Since the initial velocity is zero (the football is stationary), the equation simplifies to:
distance = 0.5 * acceleration * time^2
Substituting the values:
distance = 0.5 * 62.5 m/s^2 * (2.0 s)^2
distance = 0.5 * 62.5 m/s^2 * 4.0 s^2
distance = 125 m
Therefore, the football will move a distance of 125 meters in 2.0 seconds.