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Problems on Work and Energy

Related Topics

Wize University Physics Textbook (Master) > Work and Energy

Conservation of Energy

3 Activities

Wize University Physics Textbook (Master) > Newton's Laws of Motion: Forces and Dynamics

Inclined Surfaces

3 Activities

Practice: Block with Spring and Ramp

A 2.00-kg block is pushed against a spring with negligible mass and force constant k= 400 N/m, compressing it 0.220 m. When the block is released , it moves along a friction-less , horizontal surface and then up a friction-less incline with slope 37.0∘37.0^{\circ}(Fig).

(a) What is the speed of the block as it slides along the horizontal surface after having left the spring?
(b) How far does the block travel up the incline before starting to slide back down?


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More Conservation of Energy Questions:
conservation of energy
Practice: Conservation of Energy
A 2 kg2\ kgboy is dropped by firefighters from a height of 10 m10\ m to be caught by a team of rescuers on the ground. Determine the velocity of the boy before he reaches the ground level.
work and energy
A 1.60-m tall person lifts a 2.10-kg book from the ground so it is 2.20 m above the ground. What is the potential energy of the book relative to
(a) the ground
(b) and the top of the person’s head?
Problems on Work and Energy
A 2.00-kg block is pushed against a spring with negligible mass and force constant k= 400 N/m, compressing it 0.220 m. When the block is released , it moves along a friction-less , horizontal surface and then up a friction-less incline with slope 37.0∘37.0^{\circ}(Fig).
(a) What is the speed of the block as it slides along the horizontal surface after having left the spring?
(b) How far does the block travel up the incline before starting to slide back down?
Problems on Work and Energy
A 2.00-kg block is pushed against a spring with negligible mass and force constant k= 400 N/m, compressing it 0.220 m. When the block is released , it moves along a friction-less , horizontal surface and then up a friction-less incline with slope 37.0∘37.0^{\circ}(Fig).
(a) What is the speed of the block as it slides along the horizontal surface after having left the spring?
(b) How far does the block travel up the incline before starting to slide back down?
work and energy
A 1.60-m tall person lifts a 2.10-kg book from the ground so it is 2.20 m above the ground. What is the potential energy of the book relative to
(a) the ground
(b) and the top of the person’s head?
Example: Releasing two repulsive charges (harder)
EX: Two point charges are 20 cm apart and each carry 3 µc of positive charge. At a moment, they are released to move along connecting line, repelling each other. What is the velocity of the charges when they are 60 cm apart? Consider the mass of the charges to be 0.3 grams. Give your answer in m/s.
Graphical problem
Practice: Graphical Problem of Conservation of Energy
A 1.2-g particle is moving along x-axis under the influence of the following potential energy. The particle turns around at x=6mx=6m. What is the maximum speed of this particle?
Problems on Momentum Conservation and Collisions
Practice: Conservation of Momentum with Spring
A 15.0-kg block is attached to a very light horizontal spring with spring constant 500 N/m and is resting on a friction-less horizontal table. It is struck by a 3.00-kg stone traveling horizontally at 8.00 m/s to the right. The stone rebounds at 2.00 m/s horizontally to the left. Find the maximum distance that the block will compress the spring after the collision. Enter the answer with 3 significant digits.
conservation of energy
Practice: Conservation of Energy
A 2 kg2\ kgboy is dropped by firefighters from a height of 10 m10\ m to be caught by a team of rescuers on the ground. Determine the velocity of the boy before he reaches the ground level.
conservation of energy
Practice: Conservation of Energy
A 2 kg2\ kgboy is dropped by firefighters from a height of 10 m10\ m to be caught by a team of rescuers on the ground. Determine the velocity of the boy before he reaches the ground level.
Releasing two repulsive charges
Two point charges are held 20 cm apart and each carries 3.0 µc of positive charge. At the same time, they are released, and they begin to move straight apart from each other. What is the velocity of the charges when they are 60 cm apart? Consider the mass of the charges to be 0.3 grams. Give your answer in m/s.
conservation of energy
Practice: Conservation of Energy
A 2 kg2\ kgboy is dropped by firefighters from a height of 10 m10\ m to be caught by a team of rescuers on the ground. Determine the velocity of the boy before he reaches the ground level.
Practice: Spring constant
A 300-gram ball starts to roll down 4 meters on a 30 degree incline. (That is, the distance it travels along the slope is 4 meters.) The ball then rolls 2 meters on flat surface and hits a plate, connected to a spring. The spring is compressed 25 cm. If the kinetic coefficient of friction of all surfaces is 0.1, what is the spring constant?
Conservation of energy
A 1.2-g particle is moving along x-axis under the influence of the following potential energy. The particle turns around at x=6mx=6m. What is the maximum speed of this particle?
A 2 kg2\ kgball is dropped from a height of 10 m10\ monto the ground.
a) If the balls experiences no losses find the velocity of the ball right before it hits the ground. (in m/s)
b) If the ball loses 25% of its energy when it bounces, what height will it reach on its first bounce? (in m)
Two balls of equal mass are thrown from the top of a building with height10.0m10.0 m. One is thrown straight up at 10 m/s10\ m/s(call this ball A) and the other is thrown horizontally at 10 m/s10\ m/s (call this ball B).
a) Which balls has a greater speed when it reaches the ground? Why? Make sure you include conservation of energy in your answer.
b) Your friend tries to tell you that the ball thrown horizontally would have greater speed, because it has both an x-component and a y-component, and so the speed (magnitude of the velocity) should be higher. Why is he wrong? (Calculation not required, but you can do one if you want.)
A marble starts from rest and rolls without slipping on the loop-the-loop track in the figure. Find the minimum starting height h from which the ball will remain on the track throughout the loop. Assume the marble's radius is small compared with R. The moment of inertia for a solid sphere is 25Mr2\frac25Mr^2.
Find your answer by using R = 70 cm (radius of the loop) and r = 1.0 cm (radius of the marble).
The system below initially starts from rest, with a spring constant of 28 N/m.
At t = 0, the 3 kg block is removed. If the 2 kg block is not attached to the spring:
A box of mass m is pressed against (but is not attached to) an ideal spring of force constant k and negligible mass, compressing the spring a distance x. After it is released, the box slides up a frictionless, smooth incline, as shown in the figure, and eventually stops after reaching a certain height.
If we repeat this experiment but instead compress the spring a distance of 2x, what will happen? Explain your answer.
A spring with a spring constant k=340 N/m is used to launch a 1.5kg block along the horizontal surface whose coefficient of kinetic friction is 0.27. If the spring is compressed 18cm, how far does the block slide?
A frictionless roller-coaster track is guiding a car from point A to point D as shown below. The car at A is at rest and slowly starts its journey. Which set of energy diagrams does correctly represent the energy at indicated points?
A mass is on a spring. The spring is stretched and then released so that the mass bounces back and forth. There are no other forces in the system. At what point is the block moving the fastest?
A 20.0kg cart is moving at 10.0m/s before it goes down a hill. It ends up 2.0m below where it started, and travelled a distance of 15.0m. What is the speed of the car? There is friction, and it applies an average force of 2.00N over the course of it's motion.
Give your answer in m/s.
Problems on Work and Energy
A 2.00-kg block is pushed against a spring with negligible mass and force constant k= 400 N/m, compressing it 0.220 m. When the block is released , it moves along a friction-less , horizontal surface and then up a friction-less incline with slope 37.0∘37.0^{\circ}(Fig).
(a) What is the speed of the block as it slides along the horizontal surface after having left the spring?
(b) How far does the block travel up the incline before starting to slide back down?
Graphical problem
A 1.2-g particle is moving along x-axis under the influence of the following potential energy. The particle turns around at x=6mx=6m. What is the maximum speed of this particle?
Problems on Momentum Conservation and Collisions
A 15.0-kg block is attached to a very light horizontal spring with spring constant 500 N/m and is resting on a friction-less horizontal table. It is struck by a 3.00-kg stone traveling horizontally at 8.00 m/s to the right. The stone rebounds at 2.00 m/s horizontally to the left. Find the maximum distance that the block will compress the spring after the collision. Enter the answer with 3 significant digits.
Two cylinders of the same size but different masses roll down an incline, starting from rest. Cylinder A has a greater mass. Which reaches the bottom first?
conservation of energy
A 2 kg2\ kg ball is dropped from a height of 10 m10\ m onto the ground. If the balls experiences no losses find the velocity of the ball right before it hits the ground. If the ball loses 25%25\% of its energy when it bounces, what height will it reach on its first bounce?
work and energy
A 1.60-m tall person lifts a 2.10-kg book from the ground so it is 2.20 m above the ground. What is the potential energy of the book relative to
(a) the ground
(b) and the top of the person’s head?
A box of mass m is pressed against (but is not attached to ) an ideal spring of force constant k and negligible mass, compressing the spring a distance x. After it is released, the box slides up a frictionless incline as shown in the figure and eventually stops. If we repeat this experiment but instead compress the spring a distance of 2x.
A horizontal rod of length L and mass M has a mass m at one end. It is supported by pivot P on the wall at the left end and a cable at angle θ\theta of at the other end as shown.
a) Find the tension in the cable
b) If the cable snaps, with what angular velocity will the rod swing down and slam into the wall?
A pendulum with length of 0.80m is raised to an angle of 25° below the horizontal and released. What is the velocity of the pendulum as it swings past its lowest point?
A person with mass of 75kg is doing bungee jumping such that he jumps down from rest form the top of a bridge. If the natural length of the bungee cord is 20m and effective spring constant for this bungee cord is 5N/m, what is the speed of the person 20m below the bridge? What is the lowest position of the person respect to the bridge?
A marble starts from rest and rolls without slipping on the loop-the-loop track in the figure. Find the minimum starting height h from which the ball will remain on the track through the loop. Assume the marble's radius is small compared with R.
A ball of mass M is released from rest at a vertical height h above the ground. The ball rolls down a frictionless inclined plane and makes it to a loop the loop of radius R.
What is the velocity of the ball as it reaches to the bottom of the incline?
What is the normal force at the bottom?
A 200g mass block is released from rest at a height of 25 cm on 30o incline. The incline is frictionless. It slides down the incline and then a frictionless surface until it collides elastically with an 800g block at rest 1.4 m from the bottom of the incline as shown in the figure. How much later do the two blocks collide again?
A ball of mass 0.5 kg is attached to a string of length 26 cm. The ball is raised so that the string is taut and horizontal. Now the ball is released such that it swings and undergoes an elastic head-on collision with a stationary ball of mass 0.20kg that is free to roll horizontally. a) Find the speed of the swinging ball just before the collision. b) What is the speed of the 0.20 kg ball just after the collision?
A car accidentally enters a playing ground at a velocity of 14m/s. A child tosses a ball at the car at 18m/s. What is the ball's speed after it rebounds elastically from the car?
A ballistic pendulum is used to measure the speed of a bullet. It consists of a wooden block of mass M = 10kg suspended from a vertical string. A bullet of mass m = 100g strikes and embeds itself in the block and the block swings upward through a vertical distance of 0.10m. What is the bullet's speed?
A 12 g bullet moving horizontally at 30 m/s is fired into a vertically suspended pendulum of mass 2.5 kg. The bullet becomes embedded in the pendulum.
As shown below, a ball of mass m with an initial velocity 10 m/s collides with an initially stationary ballistic pendulum of mass M=3m, hanging from a string. The two sticks together and system deflects from vertical position to angleΘ=60∘\Theta=60^{^{\circ}} What is the length of string?
Mechanical energy
When a rollercoaster cart moves towards the ground, what happens to the PE that it has?
A block of mass m is released from rest at the top of a semi- circular frictionless track of radius R.
Which of the following expressions most accurately represents the speed of the block at the bottom of the track?
g is the acceleration due to gravity.
You drop a 5 kg ball from a height of 2 m. Just before it reaches the ground, how much kinetic energy ( in N) does it have?
Mechanical energy
An object is lifted to some height and then dropped. During the drop, which of the following is increased? Neglect air resistance.
Releasing two repulsive charges
Two point charges are 20 cm apart and each carry 3 µc of positive charge. At a moment, they are released to move along connecting line, repelling each other. What is the velocity of the charges when they are 60 cm apart? Consider the mass of the charges to be 0.3 grams. Give your answer in m/s.
A 65 kg man is riding a Ferris wheel with radius of 15 m, that moves at 1.5 rpm. Determine the normal force that the man experiences at the top of the ferris wheel and at the bottom.
Conservation of Energy & Momentum
A 12-g rifle bullet is fired with a speed of 380 m/s into a ballistic pendulum with mass 6.00 kg, suspended from a cord 70.0 cm long. Compute (a) the vertical height through which the pendulum rises , (b) the initial kinetic energy of the bullet, and (c) the kinetic energy of the bullet and pendulum immediately after the bullet becomes embedded in the pendulum.
A 15.0-kg block is attached to a very light horizontal spring of force constant 500 N/m and is resting on a friction-less horizontal table (Fig.). Suddenly it is struck by a 3.00-kg stone traveling horizontally at 8.00 m/s to the right, where upon the stone rebound at 2.00 m/s horizontally to the left.Find the maximum distance that the block will compress the spring after the collision.
A 5 kg chunk of ice is sliding at 12.0 m/s on the floor of an ice-covered valley when it collides with and stick to another 5.00-kg chunk of ice that is initially at rest.(Fig.) Since the valley is icy, there is no friction.After the collision, how high above the valley floor will the combined chunks go?
A 0.15 kg frame, when suspended from a coil spring, stretches the spring 0.070 m.A 0.200-kg lump of putty is dropped from rest onto the frame from a height of 30.0 cm(Fig). Find the maximum distance the frame moves downward from its initial position.
Two identical masses are released from rest in a smooth hemispherical bowl of radius R from the positions shown in Fig. You can ignore friction between the masses and the surface of bowl. If they stick together when they collide, how high above the bottom of the bowl will the masses go after colliding in terms of R?
A ball is thrown from the top of a 10m tall building with a speed of 5m/s. What is its speed as it hits the ground?
A frictionless roller-coaster track is guiding a car from point A to point D as shown below. The car at
A is at rest and slowly starts its journey. Which set of energy diagrams does correctly represent the
energy at indicated points?
A 1.2-g particle is moving along x-axis under the influence of the following potential energy. The particle turns around at x=6mx=6m. What is the maximum speed of this particle?
A compressed spring is used to propel a 25-gram ball-bearing along a horizontal track which contains a circular vertical loop of radius 0.30 m in a vertical plane. The spring obeys Hooke's law and is compressed 20 cm a force of 5 N. What is the speed of the ball-bearing at the top of the loop?
More Inclined Surfaces Questions:
Problems on Work and Energy
A 2.00-kg block is pushed against a spring with negligible mass and force constant k= 400 N/m, compressing it 0.220 m. When the block is released , it moves along a friction-less , horizontal surface and then up a friction-less incline with slope 37.0∘37.0^{\circ}(Fig).
(a) What is the speed of the block as it slides along the horizontal surface after having left the spring?
(b) How far does the block travel up the incline before starting to slide back down?
Forces: Block on slope with friction
A mass of 5 kg5\ kg is stationary on the surface of an inclined surface with angle of θ\theta and coefficient of kinetic friction of 0.30.3 and coefficient of static friction of 0.50.5. You start increasing the angle of the inclines surface.
Problems on Work and Energy
A 2.00-kg block is pushed against a spring with negligible mass and force constant k= 400 N/m, compressing it 0.220 m. When the block is released , it moves along a friction-less , horizontal surface and then up a friction-less incline with slope 37.0∘37.0^{\circ}(Fig).
(a) What is the speed of the block as it slides along the horizontal surface after having left the spring?
(b) How far does the block travel up the incline before starting to slide back down?
trapezoid and friction
Two blocks are attached by a rope over a pulley and are placed on an incline as shown below. A force F is applied to prevent the top block from moving toward the right. If the static and kinetic coefficients of friction of all surfaces are 0.15 and 0.08 respectively, what is the minimum magnitude of F required to prevent being pulled to the right? (Hint: always start these problems with a free-body diagram!)
Two blocks of mass m and M are connected via pulley with a configuration as shown. The surfaces are frictionless. If M=15 kg and m=8 kg and θ1=30 and θ2=60\theta_1=30\ {\rm and}\ \theta_2=60
Find the acceleration
What is the tension in the string?
A 1.2 kg is at rest on a spring at the base of a 35 degree inclined plane. If the spring constant is 105 N/m, and the spring is compressed by 12 cm, how far will it travel up the incline when it is release?
If the coefficient of static friction between the block and the ramp is 0.40.4, find the minimum angle such that the block will slide down the slope.
Stacked blocks on a pulley and slope
Block A with mass 5 kg is connected to block B with mass 10 kg via a pulley. They are initially at rest on a 30-degree slope. Write out the equations from Newton's laws and find the distance they have moved in 4s. Neglect friction.
Stacked blocks on a pulley and slope
Block A with mass 5 kg is connected to block B with mass 10 kg via a pulley. They are initially at rest on a 30-degree slope. Write out the equations from Newton's laws and find the distance they have moved in 4s. Neglect friction.
Stacked blocks on a pulley and slope
Block A with mass 5 kg is connected to block B with mass 10 kg via a pulley. They are initially at rest on a 30-degree slope. Write out the equations from Newton's laws and find the distance they have moved in 4s. Neglect friction.
Stacked blocks on a pulley and slope
Practice: Stacked Blocks on Pulley with Slope
Block A with mass 5 kg is connected to block B with mass 10 kg via a pulley. They are initially at rest on a 30-degree slope. Write out the equations from Newton's laws and find the distance they have moved in 4s. Neglect friction.
Forces: Block on slope with friction
A mass of 5 kg5\ kg is stationary on the surface of an inclined surface with angle of θ\thetaand coefficient of kinetic friction of 0.30.3 and coefficient of static friction of 0.50.5. You start increasing the angle of the inclines surface.
Two masses on a pulley on a slope
Two blocks of mass m and M are connected via pulley with a configuration as shown. The surfaces are frictionless. If M=15 kg and m=8 kg and θ1=30 and θ2=60\theta_1=30\ {\rm and}\ \theta_2=60,
Find the acceleration of the system.
What is the tension in the string?
Minimum sliding angle
If the coefficient of static friction between the block and the ramp is 0.40.4, find the minimum angle such that the block will slide down the slope. Give your answer to two sig figs in degrees.
I over-packed a box and it weighs 50kg. I'm pulling it across a rough surface at an angle of 45 degrees above the horizontal with a force of 280N. The coefficient of kinetic friction of the floor is 0.50. I pull for 10 seconds, which causes the box speed up from rest. Then I release it, and it continues to slide, as it slows to a halt.
a) What is its maximum speed?
b) How long until it stops?
Stacked blocks on a pulley and slope
Block A with mass 5 kg is connected to block B with mass 10 kg via a pulley. They are initially at rest on a 30-degree slope. Write out the equations from Newton's laws and find the distance they have moved in 4s. Neglect friction.
Inclined pully system
Two blocks are connected by a pulley system. One block (10 kg) rests on a plane inclined at 35º to the horizontal, while the other block (9.0 kg) hangs off the edge of the incline. The coefficient of friction between the block and the table is 0.30. The blocks are released from rest, what are their accelerations and what is the tension?
Practice: Springs and slopes
A 2.00-kg block is pushed against a spring with negligible mass and force constant k= 400 N/m, compressing it 0.220 m. When the block is released , it moves along a friction-less , horizontal surface and then up a friction-less incline with slope 37.0∘37.0^{\circ}(Fig).
Component vectors practice 2
A block of weight 30 N is sitting on an incline of 19 degrees.
a) What are the components of the block's weight in the directions parallel to, and perpendicular to, the slope?
b) What is the mass of this block?
Forces: Inclined surfaces
Consider a segment of a light rail train banked at 4.0 degrees from horizontal spanning a turn with a radius of curvature of 450 meters. Neglect friction. What speed was this light rail designed for? (in m/s, rounded to 1 decimal place)
This question is adapted from Chapter 6, problem #75 in the Openstax Physics textbook, which is free and open-source: https://openstax.org/details/books/university-physics-volume-1
Slide and collide
A 5.00kg box is sliding down a 20.0m tall slide that makes an angle of 60.0o with the ground. The coefficient of friction for the slide is 0.750.
At the bottom of the slide it slides on a frictionless surface and collides with a 2.50kg stationary mass.
If the coefficient of static friction between the 2.00kg block and the ramp is 0.4000.400, find the minimum angle such that the block will slide down the slope (in degrees).
Problems on Work and Energy
A 2.00-kg block is pushed against a spring with negligible mass and force constant k= 400 N/m, compressing it 0.220 m. When the block is released , it moves along a friction-less , horizontal surface and then up a friction-less incline with slope 37.0∘37.0^{\circ}(Fig).
(a) What is the speed of the block as it slides along the horizontal surface after having left the spring?
(b) How far does the block travel up the incline before starting to slide back down?
Work on wagon
A 20kg wagon rests on an inclined plane with angle 30°. The wagon is pulled by a 200N tension force along the plane and is displaced by 2 m. The coefficient of kinetic friction between the surfaces is 0.30.
a) Draw a free-body diagram for the wagon.
b) Find the work done by each force on the wagon.
Block on Slope with Friction
A mass of 5.0 kg5.0\ kg is stationary on the surface of an inclined surface with angle of θ\thetaand coefficient of kinetic friction of 0.300.30 and coefficient of static friction of 0.500.50. You start increasing the angle of the inclines surface.
a) At what angle does the mass start to slide down? (Round to the nearest whole number)
b) If you set the system at an angle which is 5 degrees more than the angle you found in part a), how much time does it take for the speed of the mass to reach 2.0 m/s2.0\ m/s? (Units are in seconds, write the answer so that it has one digit)
A block with mass m is set to move up an inclined plane.
a) Assume there is no friction, how far will the block slide before come to a stop?
b) Now, assume there is friction between the block and the plane, how far will the block go up the plane?
1) Two masses are attached together by a rope as shown in the picture. If the system is released from the rest, what is the direction of the motion and acceleration for each mass? (Imagine there is no friction between masses and the inclined surface) M2 = 2M1 = 2kg
Two blocks of mass m and M are connected via pulley with a configuration as shown. The surfaces are frictionless. If M=15 kg and m=8 kg and θ1=30 and θ2=60\theta_1=30\ {\rm and}\ \theta_2=60
Find the acceleration
What is the tension in the string?
Practice: Inclined Plane Theory
Inclined Plane
Sliding down an inclined plane is another example of motion with constant acceleration.
Source of the motion is still gravity of earth but only part of it is affecting the sliding of the object
trapezoid and friction
Two blocks are attached by a rope over a pulley and are placed on an incline as shown below. A force F is applied to prevent the top block from moving toward the right. If the static and kinetic coefficients of friction of all surfaces are 0.15 and 0.08 respectively, what is the minimum magnitude of F required to prevent being pulled to the right? (Hint: always start these problems with a free-body diagram!)
Practice: Inclined Plane
A box of 10 Kg10\ Kg is released from rest at t=0 st=0\ sfrom the top of a frictionless inclined surface with θ=45°\theta=45\degree. If the box is initially at the top of inclined surface with height of 2 m2\ mrespect to the bottom of the ramp, at what time the box gets to the ground?
Practice: Friction
A 10-kg box is initially at rest on flat surface. A horizontal force of 28 Newton is applied on it. The static and kinetic coefficient of friction between the box and the floor is 0.32 and 0.18. What is the magnitude of the friction force?
Work Done by Multiple Forces
A 20 kg wagon rests on an inclined plane with angle 30°. The wagon is pulled by a 200 N tension force along the plane and is displaced by 2 m. The coefficient of kinetic friction between the surfaces is 0.3.
a) draw all the forces.
b) Find the work done by each force on the box.
Two different boxes of masses m1 = 125kg and m2 = 45kg are sliding down a rough inclined plane angled at θ=35∘\theta = 35^\circ , as seen in the figure. The coefficient of kinetic friction between m1 and the plane is 0.3. The coefficient between m2 and the plane is 0.5. Find the acceleration of the two boxes and the contact force between them.
A 1400-kg truck ascends a steep road at a speedy 60 km/h, against a 450-N force of air resistance. If the engine supplies energy to the drive wheels at the rate of 38 kW, what is the slope of the road?
A fixed triangular wedge has two inclined surfaces forming a double inclines plane. Two masses m1 = 5 kg and m2 = 10 kg are attached to a massless pulley connected with an inextensible string. The inclined surface I1 and I2 make an angle α1=60∘\alpha_1=60^\circ and α2=30∘\alpha_2=30^\circ with the horizontal respectively. The coefficient of kinetic friction is μ=0.01.\mu=0.01. Assume g = 10 m/s2.
a) Draw a free body diagram.
b) Is the system stationary? If not what will be the net acceleration?
A 1.2 kg is at rest on a spring at the base of a 35 degree inclined plane. If the spring constant is 105 N/m, and the spring is compressed by 12 cm, how far will it travel up the incline when it is release?
A stationary snow/water skier starts to slid down an icy slope inclined 11° until it hits the water. Initially skier is 200 meter away from the surface on the inclined surface. When he hits the water, the skier comes to full stop in 80 meters on the surface of water.
a) What is the acceleration of the skier on the icy slope?
b) How long does it take for the skier to hit the water?
A car travelling at 25 m/s on an uphill with θ = 20° slope runs out of the gas. a) How far up the hill it can move before starting to roll back down?
b) How long does it take for the car to get to the turning point?
a) Dave is trying to push a 60kg box up a greased ramp inclined 30°, pushing with a force of 350N. He pushes the box perfectly horizontally, rather than up the ramp, because he’s not terribly bright. What is the box’s acceleration?
b) If Dave forgot his grease at home, the ramp would have μsmax=0.10\mu_{\rm smax}=0.10 and μk=0.05.\mu_k=0.05. He still insists on pushing the box horizontally, with the same force. What would the box’s acceleration be now?
I'm moving and packed all my books into a box that weighs 17kg. I pull the box on a weightless dolly with a force of 60N at an angle of 30° to the horizontal surface. What is the acceleration of the box?
If the coefficient of static friction between the block and the ramp is 0.40.4, find the minimum angle such that the block will slide down the slope.
Forces: Inclined surface
A 40kg wagon attached to a rope is pulled up a hill at an incline of 19° to the horizontal. If the wagon starts from rest and takes 50 seconds to move 92 m up the hill, what is the force of tension in the rope? Find the acceleration of the block.