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Chapter 4: Problem 114

What is the net force acting on a 1-kg ball in free fall?

Short Answer

Expert verified
The net force acting on a 1-kg ball in free fall is 9.8 N.

Step by step solution

01

Identify the forces acting on the ball

For an object in free fall, the only force acting on it is gravity. This is often called the object's weight, which can be calculated using the formula: weight (or force of gravity) = mass 脳 acceleration due to gravity (\( F = m \times g \) where g is the acceleration due to gravity).
02

Calculate the acceleration due to gravity

On the surface of the Earth, the standard acceleration due to gravity is approximately 9.8 meters per second squared (\( g = 9.8 \text{ m/s}^2 \).
03

Calculate the net force

Substitute the mass of the ball (1 kg) and the acceleration due to gravity (9.8 m/s^2) into the equation: \[ F = m \times g \] to find the net force: \[ F = 1 \text{ kg} \times 9.8 \text{ m/s}^2 \] which gives: \[ F = 9.8 \text{ N} \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Gravity
Gravity is a fundamental force that attracts two bodies with mass towards each other. On Earth, gravity gives weight to physical objects and causes them to fall towards the ground when dropped.

When you hold a ball up in the air and let go, it doesn't just float there. It falls downward. This is because Earth's gravity is pulling it towards the center of the planet. In fact, this gravitational pull is what keeps our feet firmly on the ground, and the moon orbiting around Earth.

The gravitational force is an essential concept not just in physics, but in our daily lives. It explains phenomena from the falling of an apple to the motion of celestial bodies.
Net Force Calculation
Understanding net force is crucial for studying the motion of objects. Net force is simply the vector sum of all the forces acting on an object. If all forces cancel out, the net force is zero, and the object remains at rest or continues to move at a constant velocity. However, if there is an imbalance in the forces, the net force will cause the object to accelerate.

For a ball in free fall, gravity is the only force working on it, meaning that the weight of the ball represents the net force acting on the object. Calculating the net force in this context provides insight into the object's acceleration and helps predict its motion during the fall.
Acceleration Due to Gravity
Acceleration due to gravity, typically represented by the symbol 'g', is the acceleration that Earth imparts to objects on or near its surface. Its average value is about 9.8 meters per second squared (\( g = 9.8 \text{ m/s}^2 \)).

This constant 'g' may vary slightly depending on altitude, latitude, and other geological factors, but for most educational purposes the standard value suffices. When an object is in free fall, gravity is the only force acting upon it, and it accelerates at this constant rate towards the Earth's surface. This does not depend on the mass of the object; in the absence of air resistance, all objects would accelerate at the same rate due to gravity.

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Most popular questions from this chapter

Sketch the path of a ball tossed vertically into the air. (Ignore air resistance.) Draw the ball halfway to the top, at the top, and halfway down to its starting point. Draw a force vector on the ball in all three positions. Are the vectors the same or different in the three locations? Are the accelerations the same or different in the three locations?

What is the net force acting on a falling 1-kg ball if it encounters 2 \(\mathrm{N}\) of air resistance?

The ratio circumference/diameter for all circles is \(\pi\) . What is the ratio force/mass for freely falling bodies:

What is the acceleration of a rock at the top of its trajectory when it has been thrown straight upward? (Is your answer consistent with Newton's second law?)

A race car travels along a raceway at a constant velocity of 200 km/h. What horizontal net force acts on the car?
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