Questions: Calculate the work done by a 45 N force pushing a pencil 0.25 m. Calculate the work done by a 2.5 N force pushing a 400 g sandwich across a table 0.75 m. How far can a mother push a 20.0 kg baby carriage, using a force of 60 N, if she can only do 2500 J of work? If a small motor does 520 J of work for 10 seconds, how much power is exerted? A girl pushes her little brother on his sled with a force of 300 N for 750 m. a) How much work is done? b) How much power does she use if it takes her 200 s? c) Does the amount of work change if she uses the same force for the same distance in 150 s? d) Calculate the power doing the work in 150 s.

Calculate the work done by a 45 N force pushing a pencil 0.25 m. Calculate the work done by a 2.5 N force pushing a 400 g sandwich across a table 0.75 m. How far can a mother push a 20.0 kg baby carriage, using a force of 60 N, if she can only do 2500 J of work? If a small motor does 520 J of work for 10 seconds, how much power is exerted? A girl pushes her little brother on his sled with a force of 300 N for 750 m. a) How much work is done? b) How much power does she use if it takes her 200 s? c) Does the amount of work change if she uses the same force for the same distance in 150 s? d) Calculate the power doing the work in 150 s.
Transcript text: Calculate the work done by a 45 N force pushing a pencil 0.25 m. Calculate the work done by a 2.5 N force pushing a 400 g sandwich across a table 0.75 m. How far can a mother push a 20.0 kg baby carriage, using a force of $60 \mathrm{~N},$ if she can only do 2500 J of work? If a small motor does 520 J of work for 10 seconds, how much power is exerted? A girl pushes her little brother on his sled with a force of 300 N for 750 m. a) How much work is done? b) How much power does she use if it takes her 200 s? c) Does the amount of work change if she uses the same force for the same distance in 150 s? d) Calculate the power doing the work in 150 s.
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Solution

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Solution Steps

Step 1: Calculate the Work Done by a 45 N Force

The work done by a force is calculated using the formula:

\[ W = F \cdot D \]

where \( F \) is the force and \( D \) is the distance. For the first question:

\[ F = 45 \, \text{N}, \quad D = 0.25 \, \text{m} \]

Substitute the values into the formula:

\[ W = 45 \times 0.25 = 11.25 \, \text{J} \]

Step 2: Calculate the Work Done by a 2.5 N Force

Using the same formula for work:

\[ W = F \cdot D \]

where \( F = 2.5 \, \text{N} \) and \( D = 0.75 \, \text{m} \):

\[ W = 2.5 \times 0.75 = 1.875 \, \text{J} \]

Step 3: Calculate the Distance a Mother Can Push a Baby Carriage

To find the distance, we rearrange the work formula:

\[ W = F \cdot D \quad \Rightarrow \quad D = \frac{W}{F} \]

Given \( W = 2500 \, \text{J} \) and \( F = 60 \, \text{N} \):

\[ D = \frac{2500}{60} = 41.6667 \, \text{m} \]

Final Answer

  1. The work done by a 45 N force is \(\boxed{11.25 \, \text{J}}\).
  2. The work done by a 2.5 N force is \(\boxed{1.875 \, \text{J}}\).
  3. The distance the mother can push the baby carriage is \(\boxed{41.67 \, \text{m}}\).
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