F = ma
30 = 120a
a = 30/120 = .25
30 = 120a
a = 30/120 = .25
m * a = F
Substituting the given values:
120 kg * a = 30 N
Now let's isolate the acceleration. We divide both sides of the equation by the mass:
a = 30 N / 120 kg
Simplifying:
a = 0.25 N/kg
So, the acceleration is 0.25 N/kg, or 0.25 m/s². But hey, don't worry, she won't fly off into space – she's got her trusty propulsion unit keeping her grounded!
F = ma
Where:
F is the force exerted on the astronaut (30 N),
m is the mass of the astronaut (120 kg), and
a is the acceleration of the astronaut.
Rearranging the equation, we have:
a = F/m
Substituting the given values, we get:
a = 30 N / 120 kg
a = 0.25 m/s²
Therefore, the acceleration of the astronaut is 0.25 m/s².
F = m * a
Where:
F is the net force acting on the object,
m is the mass of the object, and
a is the acceleration of the object.
In this case, the force generated by the propulsion unit is 30 N, and the mass of the astronaut is 120 kg. Plugging these values into the formula, we have:
30 N = 120 kg * a
To solve for a, divide both sides of the equation by the mass (120 kg):
a = 30 N / 120 kg
Now, divide the numerator (30) by the denominator (120):
a = 0.25 N/kg
The unit of acceleration is meters per second squared (m/s^2). Since 1 N/kg = 1 m/s^2, the acceleration of the astronaut is indeed 0.25 m/s^2.