How do we determine the normal force acting on a bullfrog on a tilted log?
The normal force on the bullfrog can be calculated by considering the gravitational force acting on the bullfrog and the angle of the tilt on the log. The formula to calculate normal force is by finding the component of the gravitational force that is perpendicular to the surface of the log. In this case, we need to multiply the force of gravity by the cosine of the tilt angle.
Understanding Normal Force on Tilted Bullfrog
The normal force in this scenario refers to the force exerted by the log on the bullfrog in a direction perpendicular to the surface of the log. When a bullfrog is placed on a tilted log, the force of gravity acts downward on the bullfrog. This force needs to be broken down into components to determine the normal force.
Calculating the Force of Gravity
First, we need to calculate the force of gravity acting on the bullfrog. This is done by multiplying the mass of the bullfrog by the acceleration due to gravity. In this case, the mass of the bullfrog is 565 g, which is equivalent to 0.565 kg when converted to standard units. The acceleration due to gravity is approximately 9.8 m/s². Therefore, the force of gravity on the bullfrog is:
Fg = m × g
Fg = 0.565 kg × 9.8 m/s²
Fg ≈ 5.537 N
Determining the Normal Force
To find the normal force acting on the bullfrog on the tilted log, we need to consider the angle of the tilt. The normal force is the component of the gravitational force that is perpendicular to the surface of the log. This can be calculated by multiplying the force of gravity by the cosine of the tilt angle. In this case, the tilt angle is 27°.
Therefore, the normal force on the bullfrog can be expressed as:
Normal Force = Force of Gravity × Cosine (Tilt Angle)
Normal Force = 5.537 N × cos(27°)
By plugging in the values, we can calculate the normal force acting on the bullfrog on the tilted log. This process allows us to understand how to determine the normal force in similar situations involving tilted surfaces and objects.