Two friends are pushing a stalled 1610 kg car. The first pushes with a 107 N forward force. The car accelerates at 0.123 m/s. How much force does the second person exert?
The total force exerted
F = ma = 1610*0.123 = 198
So now just subtract the 107 given
Or:
F1+F2 = M*a.
107+F2 = 1610 * 0.123.
F2 = ?.
To solve this problem, we can use Newton's second law of motion, which states that the force exerted on an object is equal to its mass multiplied by its acceleration. Mathematically, it can be expressed as:
F = m * a,
where F is the force, m is the mass, and a is the acceleration.
In this scenario, the force exerted by the first person is given (107 N), and the car's mass (m) is also provided (1610 kg). The acceleration (a) is given as 0.123 m/s².
We can rearrange the formula to solve for the unknown force exerted by the second person:
F = m * a.
First, we substitute the given values into the equation:
107 N = 1610 kg * 0.123 m/s².
Now, let's calculate:
107 N = 198.03 kg.m/s².
To find the force exerted by the second person, we subtract the force exerted by the first person from the total force:
Force exerted by the second person = Total force - Force exerted by the first person
Force exerted by the second person = 198.03 kg.m/s² - 107 N.
Calculating this:
Force exerted by the second person ≈ 91 N.
Therefore, the second person exerts approximately 91 Newtons of force.
To find the force exerted by the second person, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration:
Force = Mass × Acceleration
Given:
Mass of the car (m) = 1610 kg
Acceleration (a) = 0.123 m/s²
Force exerted by the first person (F₁) = 107 N
We can rearrange the equation to solve for the force exerted by the second person (F₂):
Force = Mass × Acceleration
F₂ = (Mass × Acceleration) - F₁
Substituting the given values:
F₂ = (1610 kg × 0.123 m/s²) - 107 N
Now, let's calculate the force exerted by the second person:
F₂ = (198.03 N) - 107 N
F₂ = 91.03 N
Therefore, the second person exerts a force of approximately 91.03 N.