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Sagot :
To calculate the impulse delivered to the ball by the bat, we use the formula for impulse:
[tex]\[ \text{Impulse} = \text{Average Force} \times \text{Time} \][/tex]
Given the values:
- The time of contact (\( t \)) is \( 0.01 \) seconds.
- The average force (\( F \)) exerted by the bat is \( 965.5 \) Newtons.
Plug these values into the formula:
[tex]\[ \text{Impulse} = 965.5 \, \text{N} \times 0.01 \, \text{s} \][/tex]
Multiplying these values:
[tex]\[ \text{Impulse} = 9.655 \, \text{Ns} \][/tex]
When rounded to two decimal places, we get:
[tex]\[ \text{Impulse} = 9.65 \, \text{Ns} \][/tex]
Therefore, the impulse delivered to the ball by the bat is [tex]\( 9.65 \, \text{Ns} \)[/tex].
[tex]\[ \text{Impulse} = \text{Average Force} \times \text{Time} \][/tex]
Given the values:
- The time of contact (\( t \)) is \( 0.01 \) seconds.
- The average force (\( F \)) exerted by the bat is \( 965.5 \) Newtons.
Plug these values into the formula:
[tex]\[ \text{Impulse} = 965.5 \, \text{N} \times 0.01 \, \text{s} \][/tex]
Multiplying these values:
[tex]\[ \text{Impulse} = 9.655 \, \text{Ns} \][/tex]
When rounded to two decimal places, we get:
[tex]\[ \text{Impulse} = 9.65 \, \text{Ns} \][/tex]
Therefore, the impulse delivered to the ball by the bat is [tex]\( 9.65 \, \text{Ns} \)[/tex].
Impulse (\( J \)) is calculated by the formula:
\[ J = F \cdot \Delta t \]
where:
- \( F \) is the average force applied (965.5 N)
- \( \Delta t \) is the time duration the force is applied (0.01 s)
Plugging in the values:
\[ J = 965.5 \, \text{N} \times 0.01 \, \text{s} \]
\[ J = 9.655 \, \text{N} \cdot \text{s} \]
Rounded to two decimal places, the impulse is:
\[ J = 9.66 \, \text{N} \cdot \text{s} \]
\[ J = F \cdot \Delta t \]
where:
- \( F \) is the average force applied (965.5 N)
- \( \Delta t \) is the time duration the force is applied (0.01 s)
Plugging in the values:
\[ J = 965.5 \, \text{N} \times 0.01 \, \text{s} \]
\[ J = 9.655 \, \text{N} \cdot \text{s} \]
Rounded to two decimal places, the impulse is:
\[ J = 9.66 \, \text{N} \cdot \text{s} \]
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