Blake and Drew are playing horseshoes. Blake takes the first turn, and his horseshoe lands three-fourths of the way to the target. Drew takes the next turn, and his horseshoe lands past the target. Which statement best explains the results?(1 point)

Responses

Drew used a horseshoe with more mass and threw with less force than Blake.
Drew used a horseshoe with more mass and threw with less force than Blake.

Drew used a horseshoe with more mass and threw with the same force as Blake.
Drew used a horseshoe with more mass and threw with the same force as Blake.

The horseshoes have the same mass, but Drew threw with more force than Blake.
The horseshoes have the same mass, but Drew threw with more force than Blake.

The horseshoes have the same mass, but Drew threw with less force than Blake.

7 answers

The statement that best explains the results is:

The horseshoes have the same mass, but Drew threw with more force than Blake.

This is supported by the fact that Drew's horseshoe landed past the target, indicating that he must have thrown it with more force compared to Blake's throw, which only reached three-fourths of the way to the target.

Four movers pick up boxes. Each box has a different mass, and each mover applies a different amount of force to lift the box. Which box will have the greatest acceleration?(1 point)
Responses

a 20 kg box lifted with 60 N of force
a 20 kg box lifted with 60 N of force

a 10 kg box lifted with 40 N of force
a 10 kg box lifted with 40 N of force

a 20 kg box lifted with 40 N of force
a 20 kg box lifted with 40 N of force

a 10 kg box lifted with 60 N of force

To determine which box will have the greatest acceleration, we can use Newton's second law of motion, which states that \( F = m \cdot a \) (force equals mass times acceleration). From this, we can derive that \( a = \frac{F}{m} \) (acceleration equals force divided by mass).

Now, let's calculate the acceleration for each option:

  1. A 20 kg box lifted with 60 N of force: \[ a = \frac{F}{m} = \frac{60 , \text{N}}{20 , \text{kg}} = 3 , \text{m/s}^2 \]

  2. A 10 kg box lifted with 40 N of force: \[ a = \frac{F}{m} = \frac{40 , \text{N}}{10 , \text{kg}} = 4 , \text{m/s}^2 \]

  3. A 20 kg box lifted with 40 N of force: \[ a = \frac{F}{m} = \frac{40 , \text{N}}{20 , \text{kg}} = 2 , \text{m/s}^2 \]

  4. A 10 kg box lifted with 60 N of force: \[ a = \frac{F}{m} = \frac{60 , \text{N}}{10 , \text{kg}} = 6 , \text{m/s}^2 \]

Comparing the calculated accelerations:

  • 20 kg with 60 N: \( 3 , \text{m/s}^2 \)
  • 10 kg with 40 N: \( 4 , \text{m/s}^2 \)
  • 20 kg with 40 N: \( 2 , \text{m/s}^2 \)
  • 10 kg with 60 N: \( 6 , \text{m/s}^2 \)

The box with the greatest acceleration is the 10 kg box lifted with 60 N of force, which has an acceleration of \( 6 , \text{m/s}^2 \).

A baseball has a mass of 145 g. A pitcher throws the baseball so that it accelerates at a rate of 80 m/s2. How much force did the pitcher apply to the baseball?(1 point)
Responses

0.6 N
0.6 N

1.8 N
1.8 N

11.6 N
11.6 N

65 N

To calculate the force applied to the baseball, we can use Newton's second law of motion, which states:

\[ F = m \cdot a \]

where:

  • \( F \) is the force,
  • \( m \) is the mass,
  • \( a \) is the acceleration.

First, we need to convert the mass of the baseball from grams to kilograms, since standard units for mass in physics are kilograms (kg):

\[ 145 , \text{g} = \frac{145}{1000} , \text{kg} = 0.145 , \text{kg} \]

Given:

  • \( m = 0.145 , \text{kg} \)
  • \( a = 80 , \text{m/s}^2 \)

Now we can calculate the force:

\[ F = m \cdot a = 0.145 , \text{kg} \cdot 80 , \text{m/s}^2 = 11.6 , \text{N} \]

So, the force applied by the pitcher to the baseball is 11.6 N.

Which situation describes a negative acceleration?(1 point)
Responses

a bicycle increasing its velocity as the rider pedals harder
a bicycle increasing its velocity as the rider pedals harder

a runner slowing down at the end of a race
a runner slowing down at the end of a race

a swimmer moving at a constant velocity
a swimmer moving at a constant velocity

a diver jumping off a diving board and falling to the swimming pool below

Negative acceleration, also known as deceleration, occurs when an object is slowing down.

Among the provided options, the situation that best describes negative acceleration is:

a runner slowing down at the end of a race.

This indicates that the runner's velocity is decreasing, which is a clear example of negative acceleration.

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