You are pulling your little sister on her sled across an icy (frictionless) surface. When you exert a constant horizontal force of 120 N, the sled has an acceleration of 1.7 m/s2 If the sled has a mass of 8.4 kg, what is the mass of your little sister?
facts
If she has mass m, then she is part of the total mass. So
120 = (8.4+m)(1.7)
Now just solve for m.
62.18
To find the mass of your little sister, you need to use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma). In this case, the force exerted is 120 N and the acceleration is 1.7 m/s^2.
So, the equation is 120 N = mass * 1.7 m/s^2.
To solve for mass, you can rearrange the equation to isolate mass. Divide both sides of the equation by 1.7 m/s^2:
mass = 120 N / 1.7 m/s^2
Now, divide 120 N by 1.7 m/s^2 to find the mass:
mass = 70.59 kg
Therefore, the mass of your little sister is approximately 70.59 kg.