(3) F = m a
so
F = 2 * 3 = 6 Newtons
(2) 6 = 1 * a
so a = 6 m/s^2
(1) 6=4 * a
a = 1.5 m/s^2
(1) 1kg? (2) 4kg? (3) how large is the force?
so
F = 2 * 3 = 6 Newtons
(2) 6 = 1 * a
so a = 6 m/s^2
(1) 6=4 * a
a = 1.5 m/s^2
(1)1.5m/s^2
(2)6m/s^2
(3)6N
Given:
Mass of the first object (m1) = 2 kg
Acceleration of the first object (a1) = 3 m/s²
We can calculate the force (F) using the formula:
F = m * a
1) For a mass of 1 kg:
m2 = 1 kg
Using the formula, F = m * a
F = 1 kg * 3 m/s²
F = 3 N
Therefore, the same force will produce an acceleration of 3 m/s² when acting on a 1 kg mass.
2) For a mass of 4 kg:
m3 = 4 kg
Using the formula, F = m * a
F = 4 kg * 3 m/s²
F = 12 N
Therefore, the same force will produce an acceleration of 3 m/s² when acting on a 4 kg mass.
3) To determine the magnitude of the force:
We can use the value of the mass (m1) and the acceleration (a1) given initially.
F = m * a
F = 2 kg * 3 m/s²
F = 6 N
Therefore, the magnitude of the force is 6 N.
Let's answer each part of the question step by step:
(1) For a mass of 1kg:
We already know that the force applied is causing a 2kg mass to accelerate at 3 m/s^2. To find the acceleration when acting on 1kg, we can use the same formula, F = ma, and rearrange it to solve for acceleration (a). So we have: a = F/m.
Since the force (F) remains the same, we can substitute the known values as follows:
a = (2kg * 3 m/s^2) / 1kg
a = 6 m/s^2
Therefore, when the same force acts on a 1kg mass, the acceleration produced is 6 m/s^2.
(2) For a mass of 4kg:
Again, we can use the same formula, F = ma, and rearrange it to solve for acceleration (a):
a = F/m.
Since the force (F) remains the same, we can substitute the known values as follows:
a = (2kg * 3 m/s^2) / 4kg
a = 1.5 m/s^2
Therefore, when the same force acts on a 4kg mass, the acceleration produced is 1.5 m/s^2.
(3) To determine the force (F):
Given that the force is acting on a 2kg mass and producing an acceleration of 3 m/s^2, we can rearrange the formula F = ma to solve for force (F).
F = m * a
F = 2kg * 3 m/s^2
F = 6 N
Therefore, the force acting on the 2kg mass is 6 Newtons.