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Answer :
Sure! Let's solve the problem step-by-step.
1. Identify the Given Values:
- The mass of the ball is 140 grams.
- The acceleration is 25 m/s².
2. Convert Mass to Kilograms:
- Since the formula for force requires mass in kilograms, we need to convert the mass from grams to kilograms.
- To convert grams to kilograms, we divide by 1000.
- So, 140 grams is equal to 140/1000 = 0.14 kilograms.
3. Use the Formula:
- The formula to calculate force is given by: [tex]\( F = ma \)[/tex]
- Where [tex]\( F \)[/tex] is the force, [tex]\( m \)[/tex] is the mass in kilograms, and [tex]\( a \)[/tex] is the acceleration in m/s².
4. Plug in the Values:
- Mass [tex]\( m = 0.14 \)[/tex] kg
- Acceleration [tex]\( a = 25 \)[/tex] m/s²
- So, [tex]\( F = 0.14 \times 25 \)[/tex]
5. Calculate the Force:
- Multiply the mass by the acceleration: [tex]\( F = 0.14 \times 25 = 3.5 \)[/tex] Newtons
Therefore, the force needed to accelerate the ball at 25 m/s² is 3.5 N.
1. Identify the Given Values:
- The mass of the ball is 140 grams.
- The acceleration is 25 m/s².
2. Convert Mass to Kilograms:
- Since the formula for force requires mass in kilograms, we need to convert the mass from grams to kilograms.
- To convert grams to kilograms, we divide by 1000.
- So, 140 grams is equal to 140/1000 = 0.14 kilograms.
3. Use the Formula:
- The formula to calculate force is given by: [tex]\( F = ma \)[/tex]
- Where [tex]\( F \)[/tex] is the force, [tex]\( m \)[/tex] is the mass in kilograms, and [tex]\( a \)[/tex] is the acceleration in m/s².
4. Plug in the Values:
- Mass [tex]\( m = 0.14 \)[/tex] kg
- Acceleration [tex]\( a = 25 \)[/tex] m/s²
- So, [tex]\( F = 0.14 \times 25 \)[/tex]
5. Calculate the Force:
- Multiply the mass by the acceleration: [tex]\( F = 0.14 \times 25 = 3.5 \)[/tex] Newtons
Therefore, the force needed to accelerate the ball at 25 m/s² is 3.5 N.
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