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On a harsh winter day, a 1500 kg vehicle takes a circular banked exit ramp (radius R = 150 m; banking angle of 10 degrees) at a speed of 30 mph, since the speed limit is 35 mph. However, the exit ramp is completely iced up (= frictionless). To make matters worse, a wind is blowing parallel to the ramp in a downward direction. The wind exerts a force of 3000 N. Under these conditions, can the driver continue to follow a safe horizontal circle on the exit ramp and stay below the speed limit? To convert mph into m/s use 1 mi = 1607 m and 1 hr is 3600 s.

The block is moving horizontally at a constant velocity. There are two applied forces on the object as shown in the image. In which direction is the friction force acting on the object?

Why do raindrops fall with constant speed during the later stages of their descent?

A constant force of 8.0 N is exerted for 4.0 s on 16-kg object initially at rest. The change in speed of this object will be:

A car travels to right at constant velocity. The net force on the car is

A ring, seen from above, is pulled on by three forces. The ring if not moving. How big is the force F?

A crate rests on a horizontal surface and a woman pulls on it with a 10-N force. No matter what the orientation of the force, the crate does not move. Rank the surface on the crate, least to greatest.

The box is sitting on the floor of an elevator. The elevator is accelerating upward. The magnitude of the normal force on the box is

In which direction does acceleration always face?

For linear motion the term “inertia” refers to the same physical concept of

The speed of a 40 N hockey puck, sliding across a level ice surface, decreases at the rate of 0.61 m/s2. The coefficient of kinetic friction between the puck and ice is:

A forward horizontal force of 12N is used to pull a 240-N crate at constant velocity across a horizontal floor. The coefficient of friction is:

When the brakes of an automobile are applied, the road exerts the greatest retarding force:

The coefficient of kinetic friction:

A brick slides on a horizontal surface. Which of the following will increase the magnitude of the frictional force on it?

Friction provides the force needed for a car to travel around a flat, circular race track.

A 2 kg ball is swung in a vertical circle. The length of the string the ball is attached to is 0.7 m. It takes 0.4 s for the ball to travel one revolution (we will assume constant speed)

A 10kg box is pushed to the right by an unknown force at an angle of 25° below the horizontal while a friction force of 50 N acts on the box as well. The box accelerates from rest and travels a distance of 4 m where it is moving at 3 m/s. Solve the following without the use of energy.

A communications satellite orbits the Earth at an altitude of 35,000km above the Earth’s surface. Mass Earth= $6 \times 10^{24} \text{ kg}$ & Radius Earth= $6.4 \times 10^6 \text{ m}$ . What is the satellite’s velocity?

There are two cables that lift an elevator, each with a force of 10,000N. The 1,000kg elevator is lifted from the first floor and accelerates over 10m until it reaches its top speed of 6 m/s. What is the mass of the people in the elevator?

A block starts from rest at the top of a 50° incline. The coefficient of kinetic friction between the block and the incline is 0.4. If the block reaches a velocity of 7 m/s at the bottom of the incline, what is the length of the incline?

A horizontal 300N force pushes a 40kg object over 10 meters of a frictionless and horizontal surface. After this, the block slides up a 20° incline. Assuming the incline has a coefficient of kinetic friction of 0.4, how far along the incline with the object slide?

You are standing on a bathroom scale in an elevator. The elevator starts from rest on the first floor and accelerates up to the third floor, 12m above, in a time of 6s. The scale reads 800N. What is the mass of the person?

An object of unknown mass is acted upon by multiple forces. 100N to the right at 20°, 400N to the left at 40° below the horizontal, and 500N to the right at 10° below horizontal. The coefficients of friction are μs=0.6 and μk=0.2. Starting from rest, the object travels 10 meters in 4.5 seconds. What is the mass of the unknown object?

A truck is traveling at 35 m/s when the driver realizes the truck as no breaks. He sees a ramp off the road that in inclined at 20° and decides to go up it to help the truck come to a stop. How far does the truck travel before coming to a stop (assume no friction).

What condition(s) are necessary for static equilibrium?

A 1000 kg car is traveling east at 20m/s when it collides perfectly inelastically with a northbound 2000 kg car traveling at 15m/s. If the coefficient of kinetic friction is 0.9, how far do the two cars skid before coming to a stop? Also, what angle do they travel at?

A hungry bear weighing 700 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam. The beam is uniform, weighs 200 N, and is 6.00 m long. The goodies weigh 80 N.

A karate master is about to split a piece of wood with her hand. Select all she must do in order to deliver the maximum force to split the wood.

Three blocks of masses m3 = 1.0, m2 = 2.0, and m1 = 4.0 kilograms are connected by massless strings, one of which passes over a frictionless pulley of negligible mass, as shown above.

A linear spring of negligible mass requires a force of 18.0 N to cause its length to increase by 1.0 cm. A sphere of mass 75.0 g is then attached to one end of the spring. The distance between the center of the sphere M and the other end P of the un-stretched spring is 25.0 cm. Then the sphere begins rotating at constant speed in a horizontal circle around the center P. The distance P and M increases to 26.5

A 5.5 kg block slides down a 30º incline that is 2.2 m long. If µ = 0.20, what is the acceleration of the block?

Shown above are three masses of 6 kg, 3 kg, and 1 kg (from left to right). You pull on the first mass with a force of 15 N along a frictionless surface.

A 0.5 mm wire made of carbon and manganese can just barely support the weight of a 70.0 kg person. Suppose this wire is used to lift a 45.0 kg load. What maximum upward acceleration can be achieved without breaking the wire?

A horizontal spring with spring constant 162 N/m is compressed 50 cm and used to launch a 3 kg box across a frictionless, horizontal surface. After the box travels some distance, the surface becomes rough. The coefficient of kinetic friction of the box on the rough surface is 0.2. Find the total distance the box travels before stopping.

A rescue helicopter lifts a 79 kg person straight up by means of a cable. The person has an upward acceleration of 0.70 m/s2 and is lifted through a distance of 11 m.

The heaviest train ever pulled by a single engine was over 2 km long. A force of 1.13 × 10^5 N is needed to overcome static friction in the train’s wheels. If the coefficient of static friction is 0.741, what is the train’s mass?

The steepest street in the world is Baldwin Street in Dunedin, New Zealand. It has an inclination angle of 38.0° with respect to the horizontal. Suppose a wooden crate with a mass of 25.0 kg is placed on Baldwin Street. An additional force of 59 N must be applied to the crate perpendicular to the pavement in order to hold the crate in place. If the coefficient of static friction between the crate and the pavement is 0.599, what is the magnitude of the frictional force?

A spring launches a 4 kg block across a frictionless horizontal surface. The block then ascends a 30° incline with a kinetic friction coefficient of 0.25, stopping after 55 m on the incline. If the spring constant is 800 N/m, find the initial compression of the spring. Disregard friction while in contact with the spring.

A 5 kg cube rests against a compressed spring with a force constant of 1,800 N/m, initially compressed by 0.25 m. Upon release, the cube slides on a horizontal surface with a kinetic friction coefficient of 0.15 for 3.5 m, then ascends a 14° slope, stopping after 5 m. Determine the coefficient of kinetic friction on the slope.

A skier with a mass of 58 kg glides up a snowy incline that forms an angle of 28 degrees with the horizontal. The skier initially moves at a speed of 7.2 m/s. After traveling a distance of 2.3 meters up the slope, the skier’s speed reduces to 3.8 m/s.

A vehicle is moving at a speed of 12.3 m/s on a decline when the brakes of all four wheels are fully applied, causing them to lock. The slope of the decline forms an angle of 18.0 degrees with the horizontal plane. Given that the coefficient of kinetic friction between the tires and the road surface is 0.650, determine the distance the vehicle slides before it halts.

A horizontal uniform meter stick of mass 0.2 kg is supported at its midpoint by a pivot point. A mass of 0.1 kg is attached to the left end of the meter stick, and another mass of 0.15 kg is attached to the right end of the meter stick. The meter stick is free to rotate in the horizontal plane around the pivot point. What is the tension in the string supporting the left end of the meter stick?

A pulley system consists of two blocks of mass 5 kg and 10 kg, connected by a rope of negligible mass that passes over a pulley of radius 0.1 meters and mass 2 kg, as shown in the figure. The pulley is free to rotate about its axis. The system is released from rest, and the block of mass 10 kg starts to move downwards. Assuming that the coefficient of kinetic friction between the pulley and the rope is 0.2, and neglecting air resistance, determine the acceleration of the system, the tension in the rope, and the magnitude and direction of the frictional force exerted on the pulley.

A 2,000kg car collides with a stationary 1,000 kg car. Afterwards, they slide 6 m before coming to a stop. The coefficient of friction between the tires and the road is 0.7. Find the initial velocity of the 2,000kg car before the collision?

A child on Earth has a weight of 500N. Determine the weight of the child if the earth was to triple in both mass and radius (3M and 3r).

A block of mass m is accelerated across a rough surface by a force of magnitude F exerted at an angle θ above the horizontal. The frictional force between the block and surface is ƒ. Find the acceleration of the block (as an equation).

A truck of mass 3500 kg hits the back of a small car of mass 1400 kg. Which car exerted more force on the other and why?

Three blocks of masses 5, 4, and 3 kg are placed side by side in that order. A 25 N force applied on the 5 kg block accelerates all three blocks together to the right. Find the acceleration of the blocks and the normal force the 4 kg block exerts on the 3 kg block.

A sled moves with constant speed down a sloped hill. The angle of the hill with respect to the horizontal is 10.0°. What is the coefficient of kinetic friction between the sled and the hill’s surface?