Kinematics
A car accelerates uniformly from rest to 20 m/s in 5 seconds. What is its acceleration?
4 m/s²
A disk starts from rest and reaches 12 rad/s in 4 seconds with constant angular acceleration. What is its angular acceleration?
3 rad/s²
What is the gauge pressure at a depth of 2 m in water? (ρ = 1000 kg/m³, g = 10 m/s²)
20,000 Pa
A 5 kg box is pushed 4 m along a frictionless floor by a 10 N horizontal force. How much work is done?
A ball is dropped from rest and falls for 3 seconds. How far does it fall? (g = 10 m/s²)
45 m
A 2 kg mass on a 0.5 m string rotates in a horizontal circle at 4 m/s. What is the centripetal force?
64 N
A 0.5 kg object displaces 200 cm³ of water when fully submerged. What is the buoyant force on it in Newtons? (g = 10 m/s²)
2 N
A 3 kg block is hung from a spring, stretching it 12 cm at equilibrium. The block is replaced by a 4 kg block, released from the unstretched position. How far does the 4 kg block fall before reversing direction?
1 min
A car starts from rest and uniformly accelerates to a final speed of 20.0 m/s in 15.0 s. How far does the car travel during this time?
A child has a toy tied to the end of a string and whirls the toy at constant speed in a horizontal circular path of radius R. The toy completes each revolution of its motion in a time period T. What is the magnitude of the acceleration of the toy?
4π2R/T2
Water flows through a pipe of cross-section 0.02 m² at 3 m/s. The pipe narrows to 0.01 m². What is the water's speed in the narrow section?
6 m/s
A spring with k = 400 N/m is compressed 0.1 m. A 2 kg mass sits against it on a frictionless surface. When released, what is the mass's speed?
2 m/s
An arrow is aimed horizontally, directly at the center of a target 20 m away. The arrow hits 0.05 m below the center. What was the initial speed of the arrow? (g = 10 m/s²)
200 m/s
A wheel with rotational inertia I = 2 kg·m² has a net torque of 6 N·m applied for 3 seconds starting from rest. What is its final angular velocity?
9 rad/s
A wooden block of density 600 kg/m³ floats in water (ρ = 1000 kg/m³). What fraction of its volume is submerged?
3/5, 60%, 0.6
A 2 kg object moving at 6 m/s is brought to rest by friction over 4 m. What is the magnitude of the friction force?
A body moving in the positive x direction passes the origin at t = 0 with a constant speed of 24 m/s. At t = 1 s, it receives a constant acceleration of 6 m/s² in the negative x direction. What is its position at t = 11 s?
-36 m
A turntable with moment of inertia 0.5 kg·m² spins at 6 rad/s. An object with moment of inertia 0.5 kg·m² is dropped onto it. What is the new angular velocity? (Angular momentum is conserved.)
3 rad/s
In a hydraulic lift, a force of 50 N is applied on a piston of area 0.01 m². What force does the large piston of area 0.5 m² exert?
2500 N
A motor lifts a 200 kg load by 3 m in 5 seconds. (g = 10 m/s²) What is the minimum power output of the motor?
1200 W