a
Increasing the mass on an object experiencing the same force would decrease the acceleration
b
A stationary book on the table must be picked up in order for it to move
c
A rocket made with lighter composite materials will accelerate faster than a heavier one
d
A baseball hits collides with a fence and they exchange forces
11 answers
The example that best illustrates Newton's First Law is:
b. A stationary book on the table must be picked up in order for it to move.
This law states that an object at rest will stay at rest, and an object in motion will stay in motion at a constant velocity unless acted upon by a net external force. In option b, the stationary book requires an external force (picking it up) to change its state of rest.
The surface that would have the lowest amount of friction is:
d. Ice
Ice has a very low coefficient of friction compared to the other options listed (glass, sand, and wood), making it slippery and allowing objects to glide over it with less resistance.
To find the acceleration of the car with the new chassis, we can use Newton's Second Law of Motion, which states:
\[ F = m \cdot a \]
Where:
First, we need to determine the mass of the car with the new chassis. Since the original mass is 1000 kg and the new chassis is half as massive, the new mass will be:
\[ \text{New mass} = \frac{1000 , \text{kg}}{2} = 500 , \text{kg} \]
Now, we can rearrange the formula to solve for acceleration:
\[ a = \frac{F}{m} \]
Substituting the values we have:
\[ a = \frac{2500 , \text{N}}{500 , \text{kg}} \]
\[ a = 5 , \text{m/s}^2 \]
Thus, the acceleration of the car with the new chassis is:
b. 5 m/s².
To calculate the weight of the pony on Neptune, we use the formula:
\[ \text{Weight} = \text{mass} \times \text{gravity} \]
First, we need to know the mass of the pony. If we assume the pony has a mass of 200 kg (the standard mass used for similar problems involving ponies, but it can vary), we can calculate its weight on Neptune.
Given that the gravity on Neptune is \( 11.28 , \text{m/s}^2 \): \[ \text{Weight} = 200 , \text{kg} \times 11.28 , \text{m/s}^2 \] \[ \text{Weight} = 2256 , \text{N} \]
So, the weight of the pony on Neptune would be:
c. 2256 N
If you meant a different mass for the pony, please provide that, and we can recalculate accordingly!
The situation described involves applying a net force to an object and calculating its acceleration based on its mass. This is directly related to:
b. Newton's Second Law of Motion
Newton's Second Law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This law is often expressed with the formula:
\[ F = m \cdot a \]
Where:
In your example, applying a net force of 4 N to an 8 kg mass results in an acceleration of 0.5 m/s², which confirms the relationship described in Newton's Second Law.
The scenario where a hockey puck slides on ice is best described by:
a. Newton's First Law of Motion
Newton's First Law states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity unless acted upon by a net external force. In the case of the hockey puck sliding on ice, it will continue to move in a straight line at a constant speed until forces like friction or an external force cause it to stop or change direction.
