# What is the normal force between a 5 kg puppet and the floor if the puppet is attached to a string that applies 30 N of force upward? ? If there are 5 strings attached to the puppet, what is the force in each string?

## Well, well, well! Looks like we have a puppet show going on here! So, imagine this: a 5 kg puppet is attached to a string that pulls upward with a force of 30 N. The puppet is just doing its thing, chilling on the floor. Now, the normal force, my friend, is the force that the floor pushes back on the puppet to keep it stationary.

Since the puppet isn't flying into the air or sinking into the floor like quicksand, we know that the normal force is equal in magnitude and opposite in direction to the force applied by the strings. In this case, the normal force will be 30 N, pointing downward.

Now, if we have 5 strings attached to the puppet, and the same 30 N force is applied by each string, we're talking about some serious puppet control here! The force in each string would still be 30 N, because the strings are not affected by each other. It's like having five equally strong friends lifting you up at once – teamwork makes the dream work, right?

So, there you have it – the normal force is 30 N and the force in each string is also 30 N. Keep those puppet strings tight and put on a great show!

## To find the normal force between the puppet and the floor, we need to consider the forces acting on the puppet. In this case, we have two forces: the force applied by the string and the force due to gravity.

1. Force applied by the string: The string applies a 30 N force upward on the puppet.

2. Force due to gravity: The force due to gravity can be calculated using the formula F = m * g, where m is the mass of the puppet and g is the acceleration due to gravity (approximately 9.8 m/s^2). In this case, the mass of the puppet is 5 kg, so the force due to gravity is F = 5 kg * 9.8 m/s^2 = 49 N, acting downward.

Now, let's calculate the normal force:

The normal force is the force exerted by a surface to support the weight of an object resting on it in the vertical direction. In this case, the puppet is resting on the floor, so the normal force exerted by the floor is equal in magnitude but opposite in direction to the force due to gravity.

Therefore, the normal force has a magnitude of 49 N, acting upward.

Now, let's calculate the force in each string:

Since there are 5 strings attached to the puppet, the total force exerted by the strings is 5 times the force applied by a single string.

Force in each string = Force applied by the string / Number of strings

Force in each string = 30 N / 5

Force in each string = 6 N

Therefore, the force in each string is 6 N.

## To determine the normal force between the puppet and the floor, we need to consider the forces acting on the puppet in the vertical direction.

First, let's consider the puppet being attached to a string that applies 30 N of force upward. This force is opposing the force of gravity acting on the puppet, which is equal to the product of the mass (5 kg) and the acceleration due to gravity (9.8 m/s^2):

Force gravity = mass × acceleration due to gravity

Force gravity = 5 kg × 9.8 m/s^2

Force gravity = 49 N

Since the string applies a force of 30 N upwards, the net force acting on the puppet in the vertical direction is:

Net force = Force upward - Force downward

Net force = 30 N - 49 N

Net force = -19 N

Since the net force is in the downward direction, the normal force exerted by the floor on the puppet must be equal to 19 N to balance the forces and keep the puppet in equilibrium.

Now, if there are five strings attached to the puppet, each string will apply an equal amount of force. Therefore, the force in each individual string would be the total upward force (30 N) divided by the number of strings (5):

Force in each string = Total upward force / Number of strings

Force in each string = 30 N / 5

Force in each string = 6 N

So, the force in each string would be 6 N.

## a. Fn = M*g - Fap = 5*9.8 - 30 = 19 N. = Normal force.

b. F = 30N./5 = 6N.