Problem-solvingDirections: Solve the following word problems. Show your complete solution byproviding the given, the unknown variable, the formula, and the final answer.1) A 25-g tennis ball is hit with a bat with a force of 40 N. Determine theacceleration of the ball. (3 pts)2) A 6.5 kg box is pushed across the floor. If the acceleration of the box is 4m/s², what is the net force exerted on the box? (3 pts)3) What net force is needed to give an acceleration of 10 m/s² to a 200-gobject? (3 pts)
Question
Problem-solvingDirections: Solve the following word problems. Show your complete solution byproviding the given, the unknown variable, the formula, and the final answer.1) A 25-g tennis ball is hit with a bat with a force of 40 N. Determine theacceleration of the ball. (3 pts)2) A 6.5 kg box is pushed across the floor. If the acceleration of the box is 4m/s², what is the net force exerted on the box? (3 pts)3) What net force is needed to give an acceleration of 10 m/s² to a 200-gobject? (3 pts)
Solution
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Given: Mass (m) = 25 g = 0.025 kg (since 1 kg = 1000 g) Force (F) = 40 N
Unknown: Acceleration (a)
Formula: F = m * a (Newton's second law of motion)
Solution: Rearranging the formula, we get a = F / m Substituting the given values, a = 40 N / 0.025 kg = 1600 m/s²
So, the acceleration of the ball is 1600 m/s².
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Given: Mass (m) = 6.5 kg Acceleration (a) = 4 m/s²
Unknown: Force (F)
Formula: F = m * a
Solution: Substituting the given values, F = 6.5 kg * 4 m/s² = 26 N
So, the net force exerted on the box is 26 N.
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Given: Mass (m) = 200 g = 0.2 kg Acceleration (a) = 10 m/s²
Unknown: Force (F)
Formula: F = m * a
Solution: Substituting the given values, F = 0.2 kg * 10 m/s² = 2 N
So, the net force needed to give an acceleration of 10 m/s² to a 200-g object is 2 N.
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