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To give a 19kg child a ride, two teenagers pull on a 3.7kg sled with ropes. Both teenagers exert a force of 55N towards the east.

2 Answers

5 votes

Final answer:

The question falls under the discipline of physics and refers to high school level content. It involves calculating the net force and acceleration of a sled by applying Newton's second law and considering the forces exerted by two teenagers.

Step-by-step explanation:

The subject of the question involves physics, specifically the concepts of kinetics and forces.

The scenario described deals with two teenagers exerting a force on a sled, which is directly related to Newton's laws of motion and the principles that govern the acceleration of bodies due to applied forces.

Since the forces are being applied toward the east, we are dealing with vector quantities and may need to calculate the resulting acceleration and net force impacting the sled.

To calculate the acceleration of the sled, you would apply Newton's second law of motion (F=ma), where 'F' is the net force applied to the system and 'ma' is the product of mass and acceleration.

In this case, if both forces exerted by the teenagers are in the same direction, you would sum these forces and then divide by the total mass of the child and the sled to find the acceleration.

If the forces are in opposite directions, the net force would be the difference between the two forces.

The question also implies considerations of frictional forces, although it states to ignore such forces.

This is a typical simplification to make the problem more tractable and focus on the principles of motion without accounting for all real-world complexities.

answered
User Pruthvi Barot
by
8.5k points
3 votes

The acceleration of the child is determined as 4.85 m/s².

How to calculate the acceleration of the child?

The acceleration of the child is calculated by applying Newton's second law of motion as follows.

F(net) = ma

where;

  • F(net) is the net force on the child
  • m is the mass of the child and the sled
  • a is the acceleration of the child

The net force of the child is calculated as follows;

F(net) = 55 N + 55 N

F(net) = 110 N

The acceleration of the child is calculated as follows;

F(net) = ma

a = F(net) / m

a = (110 N ) / (19 kg + 3.7 kg )

a = 4.85 m/s²

Thus, the acceleration of the child is 4.85 m/s².

The complete question is below:

To give a 19kg child a ride, two teenagers pull on a 3.7kg sled with ropes. Both teenagers exert a force of 55N towards the east. Find the acceleration of the child.

answered
User Gustavo Sousa
by
8.1k points