In the formula , F= ma, F = Force (N) , m = mass (Kg) and a = acceleration (m/s²)
a) Find F , if m = 26.5kg and a = 2.4m/s²
b) Find a , if F = 86N and m = 10.2Kg
F = m a is Newton's second law. We are doing physics here.
a) F = 26.5 kg * 2.4 m/s^2 = 63.6 Newtons
b) F = m a
so
86 Newtons = 10.2 kg * a
a = 86/10.2
a = 8.43 meters/ second^2
Yeah I thought it was physics but it's in my maths practice test :S
That is fine. Physicists are allowed to do basic mathematics, although some frown upon us for it.
To find the values for F (force) and a (acceleration) using the formula F = ma, we can substitute the given values of m (mass) and a (acceleration) into the formula.
a) Given: m = 26.5 kg and a = 2.4 m/s²
To find F, we substitute the given values into the formula: F = ma
F = (26.5 kg) * (2.4 m/s²)
F = 63.6 N
Therefore, F = 63.6 N when m = 26.5 kg and a = 2.4 m/s².
b) Given: F = 86 N and m = 10.2 kg
To find a, we rearrange the formula to solve for a.
F = ma
a = F/m
Substituting the given values into the formula:
a = (86 N) / (10.2 kg)
a ≈ 8.43 m/s² (rounding to two decimal places)
Therefore, a ≈ 8.43 m/s² when F = 86 N and m = 10.2 kg.