Final answer:
The normal force exerted by the log on the 0.70 kg bullfrog on a 28° incline can be computed using the formula N = W × cos(θ), resulting in approximately 6.10 N.
Step-by-step explanation:
The student is asking how to calculate the normal force exerted by a log on a bullfrog that is on an inclined surface. To find the normal force, we need to analyze the forces acting on the bullfrog perpendicular to the surface of the log. Since the log is tilted 28° above the horizontal, only a component of the bullfrog's weight acts perpendicular to the surface.
The weight of the bullfrog can be calculated using the formula W = m × g, where m is the mass of the bullfrog, and g is the acceleration due to gravity, which is approximately 9.80 m/s².
With a mass of 0.70 kg, the weight (W) of the bullfrog is (0.70 kg) (9.80 m/s²), which gives us 6.86 N. To find the normal force (N), we need to take the component of the weight that is perpendicular to the log's surface, which is N = W × cos(θ), with θ being the angle of the incline.
Therefore, the normal force exerted by the log on the bullfrog is N = 6.86 N × cos(28°), which we can calculate using a calculator with cosine function to get N ≈ 6.10 N.