Car and MotorcyclePro Problems > Physics > Motion and Forces > Linear Motion > Force
Car and Motorcycle
A force is applied to a 1000 kg car, and causes the car to accelerate from 0 m/s to 25 m/s while traveling 200 m. The same force is applied to a 600kg motorcycle. How far will the motorcycle travel while accelerating from 10 m/s to 40 m/s?
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Force and Friction on a Crate
If the coefficient of kinetic friction between a 35 kg crate and the floor is .30, what horizontal force is required to move the crate at a steady speed across the floor? What horizontal force is required if µk is zero?
Cart with Groceries
1.A horizontal force of 10N is applied to a 30 kg cart on a level floor.
- How far will it move in 3.0s, starting from rest? Ignore friction.
- How far will it move in 3.0s if 30N of groceries is added to the cart first?
A 5.0 kg missle is projected from rest to a speed of 4.5 x 103 m/s. How much time is required to do this by a net force of 5.3 x 105 N?
Howard doesn't Move
Howard is standing in the middle of a skating rink (we'll assume no friction), and his four friends Alice, Bernie, Christopher, and David approach him from each of the four compass directions - north, east, south, and west, respectively.
Alice pushes on Howard with a force of x + 20 Newtons. Bernie pushes on him with a force of 2x + y Newtons. Christopher pushes on him with a force of 2x - y Newtons, and David pushes with a force of 5y Newtons.
Howard, though being pushed from all directions, does not move. Calculate the forces being applied in all four directions.
Tractor on a Flatbed
A 6000 kg tractor rests on a flatbed, held in place by chains. The chains provide a maximum horizontal force of 8000 N. When the flatbed is traveling 20 m/s, what is the minimum stopping distance if the chains are not to break?
Out of Control Elevator
An elevator has a mass of 2,000 kg. An upward force of 21,000 Newtons is applied to the elevator. The elevator travels up 50 floors, and each floor is 2.5 meters tall, with a 20 centimeter gap between floors. How long does it take the elevator to arrive, and at what speed will it be traveling?
Sledding in the Wind
A 50 kg sled starts at rest, and is being pushed across a horizontal frictionless surface with a force of 30 N. The wind is pushing against the sled. The sled travels 100 meters while accelerating to 10 m/s. What is the force of the wind on the sled?
Luke Skywalker's X-Wing
After Luke Skywalker got his X-Wing fighter out of the swamp on Dagobah, he wanted to make it fly. The mass of the ship is 5,000 kg. Luke applies (using the force) an upward force of x Newtons. Yoda, who doesn't want Luke to get too confident, applies a downward force which is two-thirds of Luke's force.
Luke's Skywalker X-Wing fighter lifts off to a height of 2 km in 5 seconds. How much force did Luke apply?
M1 and M2
A mass, m1, accelerates at 3 m/s2 when a force, F, is applied. A second mass, m2, accelerates at 1.0 m/s2 when F is applied to it.
- Find the value of the ratio m1/m2.
- Find the acceleration of the combined mass ( m1 + m2) under the action of the force, F.