Discover the Exciting World of Forces in Physics!

How can we calculate the force applied by a man to prevent a piano from accelerating down an incline?

Answer:

The force the man applies to prevent piano acceleration down the incline is approximately 712 N. So, the correct answer is (C) 712 N.

Have you ever wondered how forces come into play in the world of physics? Let's delve into an exciting scenario where a man prevents a piano from accelerating down an incline!

To find the force that the man is applying, we need to consider the forces acting on the piano along the incline. The force of gravity can be decomposed into two components: one parallel to the incline (the force causing the slide) and one perpendicular to the incline.

The force parallel to the incline causing the slide is given by:

F_parallel = m * g * sin(θ)

where:

• m is the mass of the piano (300 kg),
• g is the acceleration due to gravity (approximately 9.8 m/s^2),
• θ is the angle of the incline (24°).

Calculating the force parallel to the incline:

F_parallel = 300 kg * 9.8 m/s^2 * sin(24°)

To prevent acceleration, the man must apply a force in the opposite direction. This force is equal to the force causing the slide but in the opposite direction.

Calculating the force applied by the man:

Force applied by the man = - F_parallel

By plugging in the values and calculating, we find:

Force applied by the man ≈ -712 N

The negative sign indicates that the force is applied in the opposite direction to the force causing the slide. Therefore, the correct answer is approximately 712 N.

Now that you've uncovered the thrilling world of forces in physics, why not explore more about this intriguing topic? Keep your curiosity alive and continue your journey of discovery!