A boy exerts a horizontal force of 2nt to pull his 2kg sled over the snow. If he gives someone a ride on his sled and he has to exert a 12nt force to pull the sled, how much does that person weigh and what is their mass?

godasd asd

To find the weight and mass of the person riding on the sled, we need to use the relation between force, mass, and acceleration.

We can start by analyzing the situation where the boy exerts a force of 2 N to pull his 2 kg sled. In this case, we can use Newton's Second Law of Motion, F = m * a, where F is the force, m is the mass, and a is the acceleration.

Since the sled is moving horizontally, there is no vertical acceleration, which means there is no net vertical force acting on the sled. Therefore, the only horizontal force acting on the sled is the force applied by the boy.

So, for the first scenario, the force applied by the boy, 2 N, is equal to the mass of the sled, 2 kg, multiplied by its acceleration, a.

2 N = 2 kg * a

From this equation, we can find the acceleration of the sled, which turns out to be 1 m/s^2.

Now, let's analyze the scenario where the boy has to exert a force of 12 N to pull the sled while someone is riding on it. In this case, both the sled and the person will have a combined mass, which we'll call M, and the acceleration will remain the same at 1 m/s^2.

However, there will be an additional force acting on the sled due to the weight of the person. This force can be calculated using the equation F = M * a, where F is the force, M is the combined mass, and a is the acceleration.

Since the boy exerts a force of 12 N on the sled, we have:

12 N = M * 1 m/s^2

From this equation, we can determine that M, the combined mass of the sled and the person, is 12 kg.

Now, to find the weight and mass of the person, we need to subtract the mass of the sled from the combined mass, M. Therefore, the person's mass would be:

Mass of the person = M - mass of the sled
Mass of the person = 12 kg - 2 kg
Mass of the person = 10 kg

To find the weight of the person, we can use the formula Weight = mass * gravitational acceleration. Assuming the gravitational acceleration on Earth is 9.8 m/s^2, we have:

Weight of the person = 10 kg * 9.8 m/s^2
Weight of the person = 98 N

Therefore, the person riding on the sled weighs 98 N and has a mass of 10 kg.