The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass, with the acceleration pointing in the same direction as the net force.
Push harder and you get faster acceleration; heavier object means slower acceleration for the same push.
Showing a random 20 of 50 problems.
Example 1
medium
A 0.2 kg ball is struck and reaches 30 m/s from rest in 0.01 s. Find the average force.
Example 2
hard
A 1000 kg car experiences a net forward force whose magnitude grows linearly from 0 at t=0 to 2000 N at t=4 s. What is the car's acceleration at t=2 s?
Example 3
easy
Is F=ma a vector equation or a scalar equation?
Example 4
hard
A 70 kg person stands in an elevator that accelerates downward at 2 m/s2. What is the apparent weight (normal force) on the person? Use g=9.8 m/s2.70 kg person in elevator accelerating downward at 2 m/s² — find apparent weight
Example 5
medium
A 0.5 kg ball is dropped from rest and falls freely ignoring air resistance (g=9.8 m/s2). What is the net force on the ball as it falls?0.5 kg ball in free fall — only weight acts, F_net
Example 6
medium
An elevator of mass 800 kg accelerates upward at 1.5 m/s2. Find the tension in the supporting cable. Use g=9.8 m/s2.800 kg elevator accelerating upward at 1.5 m/s² — find cable tension
Example 7
medium
A 1500 kg rocket experiences 25,000 N thrust upward and weighs 14,700 N. Find its upward acceleration. Use g=9.8 m/s2.1500 kg rocket with 25000 N thrust vs 14700 N weight — find upward acceleration
Example 8
easy
Write the SI unit of force in base units.
Example 9
medium
If both mass and net force double, the acceleration is multiplied by ____.
Example 10
hard
A 2 kg object's velocity changes from vi=(3,0) m/s to vf=(3,4) m/s over 2 s. Find the magnitude of the average net force.
Example 11
easy
If net force doubles and mass stays the same, what happens to acceleration?
Example 12
easy
What is the acceleration of a 6 kg object with a 0 N net force?
Example 13
medium
A 3 kg block on a frictionless table is pulled by T=12 N horizontally while a 6 N horizontal drag opposes the motion. Find the acceleration.3 kg block pulled by T=12 N with 6 N drag — find acceleration
Example 14
easy
An object of mass 0.5 kg experiences a net force of 4 N. Find its acceleration.
Example 15
hard
Two blocks (m1=3 kg on top of m2=5 kg) sit on a frictionless floor. A horizontal 32 N force pushes m2. Friction between the blocks is enough to keep m1 from sliding. Find the system acceleration and the friction on m1.
Example 16
medium
A 5 kg object on a flat floor (g=10, μ=0.2) is pushed with 30 N. Find its acceleration.5 kg block on floor with μ
Example 17
medium
A 1200 kg car accelerates from rest to 20 m/s in 8 seconds. What net force is required?1200 kg car: find net force for acceleration from rest to 20 m/s in 8 s
Example 18
challenge
A 1200 kg car on level ground experiences a drag force Fd=bv with b=60 N⋅s/m and a constant engine force of 3000 N. What is the car's terminal (top) speed?
Example 19
challenge
A 5 kg block on a frictionless 30° incline is connected over a pulley to a hanging 3 kg block. Find the system acceleration. Use g=9.8 m/s2.
Example 20
medium
A constant 6 N net force acts on a 3 kg cart for 4 s from rest. Find its final speed.