What is the mass of a falling rock if it produces a force of 150 N? What force would require an 8-kg bowling ball to accelerate at a rate of 5 meters per second squared(m/s^2)?
#1 ?
#2 F = ma
To calculate the mass of a falling rock, you need to use Newton's second law of motion, which states that Force (F) equals mass (m) multiplied by acceleration (a). Rearranging the formula, you have m = F / a.
1. For the falling rock:
Given:
Force (F) = 150 N
Acceleration due to gravity (a) is approximately 9.8 m/s^2.
To find the mass of the falling rock, substitute the values into the formula:
m (falling rock) = F / a
m (falling rock) = 150 N / 9.8 m/s^2
m (falling rock) ≈ 15.31 kg
Therefore, the mass of the falling rock is approximately 15.31 kg.
2. For the bowling ball:
Given:
Mass (m) = 8 kg
Acceleration (a) = 5 m/s^2
To find the force required to accelerate the bowling ball, use the formula:
F = m * a
F = 8 kg * 5 m/s^2
F = 40 N
Therefore, a force of 40 N would be required to accelerate an 8-kg bowling ball at a rate of 5 m/s^2.
To find the mass of a falling rock that produces a force of 150 N, you can use Newton's second law of motion:
Force = mass * acceleration
In this case, the force acting on the falling rock is given as 150 N, and we are assuming that the acceleration due to gravity is 9.8 m/s^2. So, we can rearrange the equation to solve for mass:
mass = force / acceleration
Substituting the given values, we get:
mass = 150 N / 9.8 m/s^2
Now, let's calculate the mass:
mass ≈ 15.31 kg
Therefore, the mass of the falling rock is approximately 15.31 kg.
Moving on to the next question, we are given the mass of an 8-kg bowling ball and are asked to find the force required to accelerate it at a rate of 5 m/s^2. Once again, we can use Newton's second law of motion:
Force = mass * acceleration
Plugging in the values, we get:
Force = 8 kg * 5 m/s^2
Now, let's calculate the force:
Force = 40 N
Therefore, a force of 40 N is required to accelerate an 8-kg bowling ball at a rate of 5 m/s^2.