Rotation
A disk has an angular displacement of 10 radians over 5 seconds. What is its average angular velocity?
2 rads/sec
In a pulley system with two blocks connected by a rope, if block A moves up by 2 meters, how does block B move?
Block B moves down by 2 meters
What is the relative velocity of two cars moving towards each other, one at 60 km/h and the other at 40 km/h?
100 km/hr
What is the force that opposes the relative motion or tendency of such motion of two surfaces in contact?
friction
In the absence of friction, which angle allows a vehicle to navigate a banked curve at a specific speed?
The angle where tanθ = v2/(rg)
A flywheel is spinning at 120 revolutions per minute (rpm). What is its angular velocity in radians per second?
12.57 rad/s
If a cable in a pulley system is shortened by 3 meters, what happens to the position of the attached objects?
The objects move closer by a total of 3 meters
If a train moves at 80 km/h and a passenger walks inside the train at 5 km/h in the same direction, what is the passenger's speed relative to the ground?
85 km/hr
What happens to the frictional force if the normal force is doubled while keeping the surfaces the same?
It doubles
What is the banking angle required for a car to safely negotiate a curve of radius 50 meters at a speed of 20 m/s without relying on friction?
16.7°
What is the angular displacement of a wheel that rotates at 2 radians per second for 3 seconds?
6 radians
In a pulley system, if the mass of one object is doubled, what happens to the system's acceleration?
Acceleration decreases
Two boats are moving parallel to each other in the same direction. Boat A moves at 30 km/h and Boat B at 20 km/h. What is the relative velocity of Boat A with respect to Boat B?
10 km/hr
A 5 kg object is subjected to a net force of 20 N. What is its acceleration?
4 m/s2
If a car travels around a banked curve at a higher speed than designed, what force primarily keeps it from sliding outward?
frictional force
A solid disk with a radius of 0.5 meters and a mass of 2 kg is spinning about its central axis. If the disk starts from rest and accelerates at a constant angular acceleration of 4 rad/s², how long will it take to reach an angular speed of 20 rad/s?
5 seconds
Determine the speed of block B.
1 m/s
An airplane flies north at 500 km/h while a wind blows east at 100 km/h. What is the plane's resultant velocity relative to the ground?
509.9 km/h
A 5 kg box is pushed across a frictionless surface by a constant force. If the box accelerates at a rate of 3 m/s², what is the magnitude of the force applied to the box?
15N
Calculate the maximum safe speed for a car on a banked curve with a radius of 100 meters and a banking angle of 15 degrees, assuming no friction.
18.9 m/s
A merry-go-round starts from rest and accelerates uniformly at a rate of 2rad/s2. If it continues to accelerate for 10 seconds, what will be its final angular velocity? Additionally, how many revolutions has it completed during this time?
20 rad/s and 15.92 rev
In this pulley system, block A is moving downward with a speed of 4 ft/s while block C is moving up at 2 ft/s. Find the speed of block B.
0 ft/s
If a cyclist travels at 8.1 knots against a wind blowing at 5 km/h, what is the cyclist's effective speed relative to the ground in ft/s?
9.11 ft/s
A 10 kg cart is initially at rest on a frictional surface. A force of 50 N is applied to the cart, but there is a frictional force of 20 N opposing the motion. Determine the acceleration of the cart.
3 m/s2
A car of mass 1200 kg is taking a turn on a banked road that has a banking angle of 15 degrees. The radius of the turn is 50 meters. Calculate the maximum speed the car can maintain without sliding off the road.
15.13 m/s