The same net force is applied to two bodies. The first body acquires half of the acceleration of the second body. What is the relationship between the masses of the bodies?
The mass of the first body is double the mass of the second body.
The mass of the first body is a quarter of the mass of the second body.
The mass of the first body is half the mass of the second body.
The mass of the first body is four times the mass of the second body.
The mass of body one is double the mass of body two
Thanks J!!
To solve this problem, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. Mathematically, this can be represented as:
F = ma
Where F is the net force, m is the mass of the object, and a is the acceleration.
Given that the same net force is applied to both bodies, and the first body acquires half the acceleration of the second body, we can set up the following equations:
F = m₁ * a₁
F = m₂ * a₂
Since the net force is the same for both bodies, and a₁ = 0.5 * a₂, we can equate the two equations:
m₁ * (0.5 * a₂) = m₂ * a₂
Simplifying this equation, we get:
m₁ = 2 * m₂
Therefore, the mass of the first body (m₁) is double the mass of the second body (m₂).
So the correct relationship between the masses of the bodies is:
"The mass of the first body is double the mass of the second body."
body A with a mass of 0.16 kg exerts a force of 6.2 x 10-10 N on a body B when the distance between their centers is 0.37 meters. What is the mass of body B?
a1 = x.
a2 = 2x.
M1/M2 = a2/a1 = 2x/x = 2.
a1 = a.
a2 = 2a.
F = M1*a
M1 = F/a.
F = M2*2a
M2 = F/2a.
M1/M2 = (F/a)/(F/2a) = 2.
f = m * a
forces are the same , so the acceleration is inversely proportional to the mass