a 75kg parent and a 22kg child meet at the center of an ice rink. they place their hands together and push hard enough to slide apart.
a. is the force experienced by the child more than, less than, or the same force experienced by the parent? I said they experience the same force according to Newton's third law which forces in opposite directions have and equal magnitude of force.
b. is the acceleration of the child more than, less than, or the same acceleration as the parent? I said that the child has more acceleration because of the force exerted on him.
The rest of these questions I did not understand how to answer them.
c. if the acceleration of the child is 2.3 m/s2 in magnitude, what is the magnitude of the force of the parent's push on the child?
d. so what is the magnitude of the child's push on the parent?
e. what is the parents acceleration?
To answer these additional questions, we can use Newton's second law of motion, which states that the force acting on an object is equal to the product of its mass and acceleration (F = ma).
c. To find the magnitude of the force exerted by the parent on the child, we can use the equation F = ma. Given that the child's acceleration is 2.3 m/s^2 and the child's mass is 22 kg, we can substitute these values into the equation: F = (22 kg) * (2.3 m/s^2). Solving the equation, we find that the magnitude of the force of the parent's push on the child is 50.6 N (Newton).
d. According to Newton's third law, the child's push on the parent will have the same magnitude as the force experienced by the child. Therefore, the magnitude of the child's push on the parent is also 50.6 N.
e. To find the parent's acceleration, we can rearrange the equation F = ma to solve for acceleration: a = F/m. We know that the magnitude of the force between the parent and child is 50.6 N, and the parent's mass is 75 kg. Substituting these values into the formula, we get the acceleration: a = (50.6 N) / (75 kg). Solving the equation, we find that the parent's acceleration is approximately 0.6747 m/s^2.