You are pulling your little sister on her sled across an icy (frictionless) surface. When you exert a constant horizontal force of 113 N, the sled has an acceleration of 1.3 m/s2 If the sled has a mass of 6.6 kg, what is the mass of your little sister?
As you know, Bob, F=ma
113 = (6.6+s)(1.3)
113 = 8.58 + 1.3s
1.3s = 104.42
s = 80.32kg
Looks like "little" sister needs to do some walking!
To find the mass of your little sister, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
In this scenario, the force you exert on the sled is 113 N, and the acceleration of the sled is given as 1.3 m/s^2. The mass of the sled is also provided as 6.6 kg.
We can rearrange the formula F = ma to solve for mass (m). By substituting the known values into the equation, we get:
113 N = (6.6 kg) × 1.3 m/s^2
Now we can solve for the unknown mass.
Dividing both sides of the equation by 1.3 m/s^2, we get:
m = 113 N / (1.3 m/s^2)
Calculating this value, we find:
m = 86.92 kg
Therefore, the mass of your little sister is approximately 86.92 kg.