A 10.4 kg child sits in a 4.1 kg high chair.
(a) Find the normal force exerted by the chair on the child.
N
(b)Find the normal force exerted by the floor on the chair.
kN
(a) The force exerted by the chair on the child equals the child's weight.
(b) Chair weight + Child's weight
Masses must be multiplied by g to get weight, which will be in Newtons.
To find the normal force exerted by the chair on the child, we need to consider the gravitational force acting on the child. The weight of the child is given by the equation:
Weight = mass × acceleration due to gravity
In this case, the mass of the child is 10.4 kg, and the acceleration due to gravity is approximately 9.8 m/s^2.
Weight = 10.4 kg × 9.8 m/s^2
Weight = 101.92 N
Since the chair is supporting the child, the normal force exerted by the chair on the child would be equal in magnitude but opposite in direction to the weight of the child. So, the normal force exerted by the chair on the child is also 101.92 N.
(a) The normal force exerted by the chair on the child is 101.92 N.
To find the normal force exerted by the floor on the chair, we need to consider the gravitational force acting on the chair. The weight of the chair is given by the equation:
Weight = mass × acceleration due to gravity
In this case, the mass of the chair is 4.1 kg, and the acceleration due to gravity is approximately 9.8 m/s^2.
Weight = 4.1 kg × 9.8 m/s^2
Weight = 40.18 N
Since the floor is supporting the chair, the normal force exerted by the floor on the chair would be equal in magnitude but opposite in direction to the weight of the chair. So, the normal force exerted by the floor on the chair is also 40.18 N.
(b) The normal force exerted by the floor on the chair is 40.18 N.
To find the normal force exerted by the chair on the child, we need to consider the forces acting in the vertical direction. The normal force is the force exerted by a surface perpendicular to the object resting on it. In this case, the child is sitting on the chair, so the chair exerts a normal force on the child.
The normal force is equal in magnitude and opposite in direction to the weight of the child. The weight of an object can be calculated using the formula:
weight = mass × gravity
where the mass is given as 10.4 kg and the acceleration due to gravity is approximately 9.8 m/s².
weight = 10.4 kg × 9.8 m/s²
Calculating the weight gives us:
weight = 101.92 N
Therefore, the normal force exerted by the chair on the child is 101.92 N.
For part (b), we need to find the normal force exerted by the floor on the chair. Similarly, the normal force is equal in magnitude and opposite in direction to the weight of the chair. In this case, the weight of the chair can be calculated using the same formula:
weight = mass × gravity
where the mass is given as 4.1 kg and the acceleration due to gravity is still 9.8 m/s².
weight = 4.1 kg × 9.8 m/s²
Calculating the weight gives us:
weight = 40.18 N
Therefore, the normal force exerted by the floor on the chair is 40.18 N, or approximately 0.04 kN.