Here are the solutions to the problems on the worksheet, broken down step by step.
Part I: Fill in the Blanks
Newton's 1st Law:
All objects will remain at
rest, or will continue to move at a constant
velocity (or speed) in the same
direction unless acted upon by an unbalanced
force. This property is called
inertia.
Newton's 2nd Law:
Unbalanced forces cause an object to
accelerate.
This can be stated mathematically by the formula:
F = m * a
*(Force = mass × acceleration)*
Newton's 3rd Law:
Every action produces an equal and opposite
reaction.
When one object exerts a force on another object, the second object pushes back with the same amount of
force.
---
Part II: Problem Solving
Here is the work for each problem using Newton's 2nd Law ($F = m \times a$).
1) How much force is needed to accelerate a 66 kg skier at 2 m/s²?
*
Given: Mass ($m$) = $66\text{ kg}$, Acceleration ($a$) = $2\text{ m/s}^2$
*
Formula: $F = m \times a$
*
Calculation: $66 \times 2 = 132$
*
Answer: $132\text{ N}$
2) What is the force on a 1,000 kg elevator that is falling freely at 9.8 m/s²?
*
Given: Mass ($m$) = $1,000\text{ kg}$, Acceleration ($a$) = $9.8\text{ m/s}^2$
*
Formula: $F = m \times a$
*
Calculation: $1,000 \times 9.8 = 9,800$
*
Answer: $9,800\text{ N}$
3) What is the acceleration of a 50 kg object pushed with a force of 500 newtons?
*
Given: Force ($F$) = $500\text{ N}$, Mass ($m$) = $50\text{ kg}$
*
Formula: Rearrange $F = m \times a$ to solve for acceleration: $a = F / m$
*
Calculation: $500 / 50 = 10$
*
Answer: $10\text{ m/s}^2$
4) The mass of a large car is 1000 kg. How much force would be required to accelerate the car at a rate of 3 m/s²?
*
Given: Mass ($m$) = $1,000\text{ kg}$, Acceleration ($a$) = $3\text{ m/s}^2$
*
Formula: $F = m \times a$
*
Calculation: $1,000 \times 3 = 3,000$
*
Answer: $3,000\text{ N}$
5) A 50 kg skater pushed by a friend accelerates 5 m/s². How much force did the friend apply?
*
Given: Mass ($m$) = $50\text{ kg}$, Acceleration ($a$) = $5\text{ m/s}^2$
*
Formula: $F = m \times a$
*
Calculation: $50 \times 5 = 250$
*
Answer: $250\text{ N}$
6) A force of 250 N is applied to an object that accelerates at a rate of 5 m/s². What is the mass of the object?
*
Given: Force ($F$) = $250\text{ N}$, Acceleration ($a$) = $5\text{ m/s}^2$
*
Formula: Rearrange $F = m \times a$ to solve for mass: $m = F / a$
*
Calculation: $250 / 5 = 50$
*
Answer: $50\text{ kg}$
──────────────────────────────────────
Final Answer:
Part I:
*
1st Law: rest, velocity (or speed), direction, force, inertia
*
2nd Law: accelerate, F = m * a
*
3rd Law: reaction, force
Part II:
1) 132 N
2) 9,800 N
3) 10 m/s²
4) 3,000 N
5) 250 N
6) 50 kg
Parent Tip: Review the logic above to help your child master the concept of newton s law of motion worksheet.
