blake and drew are playing horseshoes. Blake takes his first turn, and his horseshoes 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?

a. drew used a horseshoe with more mass and threw with less force than Blake.
b. drew used a horseshoes with more mass and threw with the same force as Blake.
c. the horseshoes have the same mass, but Drew threw with more force than Blake.
d. the horseshoes have the same mass, but drew threw with less force than Blake.

7 answers

The best statement that explains the results is:

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

This is because Drew's horseshoe landed past the target, indicating that he must have thrown it with greater force than Blake, whose horseshoe landed only three-fourths of the way to the target.

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

a. a 20 kg box lifted with 40 N of force
b. a 20 kg box lifted with 60 N of force
c. a 10 kg box lifted with 40 N of force
d. 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 acceleration (a) is equal to the net force (F) acting on an object divided by its mass (m). The formula is:

\[ a = \frac{F}{m} \]

We will calculate the acceleration for each scenario:

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

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

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

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

Now we compare the accelerations:

  • a: \(2 , \text{m/s}^2\)
  • b: \(3 , \text{m/s}^2\)
  • c: \(4 , \text{m/s}^2\)
  • d: \(6 , \text{m/s}^2\)

The box that will have the greatest acceleration is d: a 10 kg box lifted with 60 N of force with 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/s^2. How much force did the pitcher apply to the baseball?

a. 65 N
b. 11.6 N
c. 1.8 N
d. 0.6 N

To calculate the force applied to the baseball, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a):

\[ F = m \times a \]

First, we need to convert the mass of the baseball from grams to kilograms, since the standard unit of mass in physics is kilograms.

Mass of the baseball: \[ 145 , \text{g} = \frac{145}{1000} , \text{kg} = 0.145 , \text{kg} \]

Now we can substitute the values of mass and acceleration into the formula:

\[ F = 0.145 , \text{kg} \times 80 , \text{m/s}^2 \]

\[ F = 11.6 , \text{N} \]

Therefore, the force the pitcher applied to the baseball is b. 11.6 N.

which situation describes a negative acceleration?

a. a swimmer moving at a constant velocity.
b. a diver jumping off a diving board and falling to the swimming pool below.
c. a bicycle increasing its velocity as the rider pedals harder.
d. a runner slowing down at the end of a race.

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

In this context, the situation that describes negative acceleration is:

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

In this case, the runner is decreasing their speed, which indicates negative acceleration. The other options describe either constant velocity or an increase in speed, which does not involve negative acceleration.

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