The figure below shows a box with mass m = 5.6 kg pulled up a surface inclined at an angle of 8 = 27° with a force of magnitude F = 34 N parallel to the surface. n (a) If there is no friction between the box and the surface, what is the magnitude of the box's acceleration (in m/s2)? m/s² (b) If instead the coefficient of kinetic friction between the box and the surface is 0.11, what is the magnitude of the box's acceleration (in m/s²)? m/s2

The figure below shows a box with mass m = 5.6 kg pulled up a surface inclined at an angle of 8 = 27° with a force of magnitude F = 34 N parallel to the surface. n (a) If there is no friction between the box and the surface, what is the magnitude of the box's acceleration (in m/s2)? m/s² (b) If instead the coefficient of kinetic friction between the box and the surface is 0.11, what is the magnitude of the box's acceleration (in m/s²)? m/s2

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section: Chapter Questions

Problem 8STP

See similar textbooks

Related questions

Q: You are working for a shipping company. Your job is to stand at the bottom of an 8.0-m-long ramp…

A: Given data: The coefficient of kinetic friction is μk=0..30 The length is l = 8.0 m long

Q: A m₂ = 5.09-kg block is placed on top of a m₂ = 10.0-kg block (figure). A horizontal force of F =…

Q: A student uses a force P of magnitude 55 N and angle 0 = 75° to push a 4.0 kg block across the…

A: Given: The mass of the block is m=4 kg. The magnitude of the force is P= 55 N. The angle with the…

Q: elevator cabs A and B are connected by a short cable and can be pulled upward or lowered by the…

A: Draw the free-body diagram of the elevator B.

Q: Three boxes are lined up so that they are touching each other on a nearly frictionless plane. Box A…

A: Given :-mass of box A mA=19.0 kgmass of box B mB=30.5 kgmass oof box C mC=53.0 kgmagnitude of…

Q: A large crate has a mass of 120 kg and sits on a horizontal floor. You push on the crate with a…

Q: One end of a rope is tied to a 11 kg hanging weight. The rope goes over a pulley and the other end…

Q: Write an expression for Fm the minimum force required to produce movement of the box on the top of…

Q: A car is traveling at 30 m/s along a horizontal road. The coefficients of friction between the road…

Q: The figure shows a container of mass m₁ = 4.8 kg connected to a block of mass m₂ by a cord looped…

Q: Mary applies a force of 78 N to push a box with an acceleration of 0.49 m/s2. When she increases the…

A: The applied force in first case is 78 N and acceleration is 0.49 m/s2. The applied force in second…

Q: The figure below illustrates the motion of an object on an inclined surface. The angle of…

Q: A desperate hiker has to think fast to help his friend who has fallen below him. Quickly, he ties a…

Q: the

A: Given: Maximum static friction between the sanding block and wooden board = 25 N Applied force = 20…

Q: A block having a mass of m = 19.5 kg is suspended via two cables as shown in the figure. The angles…

Q: ou are pushing a wooden crate against a rubber floor. The two surfaces have a static coefficient of…

A: Given: The mass of the crate is 25 kg. The coefficient of the static friction is 0.45. The…

Q: Two packages at UPS start sliding down the 20° ramp shown in the figure. Package A has a mass of…

Q: A drag chute must be designed to reduce the speed of a 1171 kg dragster from 342 km/hr to 80 km/hr…

A: Solution:-Given thatm=1171 kgwhen t=0; V1=342 km/hrwhen t=4 s; V2=80 km/hrFdrag=kv

Q: A man is walking up a hill inclined at 24 degrees at constant speed while pulling a 23.6 kg box by a…

Q: A man exerts a northward force of 100 newtons on a 50 kilogram box which sits on a level floor. If…

Q: In the Skycoaster amusement park ride, riders are suspended from a tower by a long cable. A second…

Q: In the figure, three masses are attached by cords that loop over frictionless pulleys. Block B lies…

Q: A stone has a mass of 8.79 g and is wedged into the tread of an automobile tire, as the drawing…

Q: Mary applies a force of 77 N to push a box with an acceleration of 0.55 m/s2. When she increases the…

Q: A sled of mass 87 kg is being pushed up a slope with an applied force of 853 N. The slope is…

Q: Consider an object on an incline where friction is present. The angle between the incline and the…

A: Given,

Q: A book of mass 7 kg rests on a plank. You tilt one end of the plank and slowly increase the angle of…

Q: An object with a mass of m placed on an oblique surface at an angle. We applied a horizontal force f…

Q: You try your idea on a glass surface and a glass cup (mass = 0.15 kg). You set the glass cup moving…

Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

The figure below shows a box with mass m = 5.6 kg pulled up a surface inclined at an angle of 0 = 27° with a force of magnitude F = 34 N parallel to the surface.
0
m
(a) If there is no friction between the box and the surface, what is the magnitude of the box's acceleration (in m/s²)?
m/s²
(b) If instead the coefficient of kinetic friction between the box and the surface is 0.11, what is the magnitude of the box's acceleration (in m/s²)?
m/s²
ER

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information

VIEW

Step 2: Draw free body diagram

VIEW

Step 3: Determine acceleration when there is no friction

VIEW

Step 4: Determine acceleration when there is :friction

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 15 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A black widow spider hangs motionless from a web that extends vertically from the ceiling above. If the spider has a mass of 1.5 g, what is the tension in the web?
Pick an isolated system for the following scenarios while including the fewest number of objects as possible. a. A satellite in orbit around the Earth b. An airplane in flight c. A truck driving along the road d. A person jumping
Why is the following situation impossible? A book sits on an inclined plane on the surface of the Earth. The angle of the plane with the horizontal is 60.0. The coefficient of kinetic friction between the book and the plane of 0.300. At time t = 0, the book is released from rest. The book then slides through a distance of 1.00 m, measured along the plane, in a time interval of 0.483 s.
Jamal and Dayo are lifting a large chest, weighing 207 lb, by using the two rope handles attached to either side. As they lift and hold it up so that it is motionless, each handle makes a different angle with respect to the vertical side of the chest (Fig. P5.76). If the angle between Jamals handle and the vertical side is 25.0 and the angle between Dayos handle and the vertical side of the chest is 30.0, what are the tensions in each handle? FIGURE P5.76
The speed of a particle of mass m varies with the distance x as υ(x) = αx−n. Assume υ(x = 0) = 0 at t = 0. (a) Find the force F(x) responsible. (b) Determine x(t) and (c) F(t).
A sleigh is being pulled horizontally by a train of horses at a constant speed of 8.05 m/s. The magnitude of the normal force exerted by the snow-covered ground on the sleigh is 6.37 103 N. a. If the coefficient of kinetic friction between the sleigh and the ground is 0.23, what is the magnitude of the kinetic friction force experienced by the sleigh? b. If the only other horizontal force exerted on the sleigh is due to the horses pulling the sleigh, what must be the magnitude of this force?
A uniform pole is propped between the floor and the ceiling of a room. The height of the room is 7.80 ft, and the coefficient of static friction between the pole and the ceiling is 0.576. The coefficient of static friction between the pole and the floor is greater than that between the pole and the ceiling. What is the length of the longest pole that can be propped between the floor and the ceiling?
A crate remains stationary after it has been placed on a ramp inclined at an angle with the horizontal. Which of the following statements must be true about the magnitude of the frictional force that acts on the crate? (a) It is larger than the weight of the crate. (b) It is at least equal to the weight of the crate. (c) It is equal to sn. (d) It is greater than the component of the gravitational force acting down the ramp. (e) It is equal to the component of the gravitational force acting down the ramp.
A student is asked to measure the acceleration of a glider on a frictionless, inclined plane, using an air track, a stopwatch, and a meterstick. The top of the track is measured to be 1.774 cm higher than the bottom of the track, and the length of the track is d = 127.1 cm. The cart is released from rest at the top of the incline, taken as x = 0, and its position x along the incline is measured as a function of time. For x values of 10.0 cm, 20.0 cm, 35.0 cm, 50.0 cm, 75.0 cm, and 100 cm, the measured times at which these positions are reached (averaged over five runs) are 1.02 s, 1.53 s, 2.01 s, 2.64 s, 3.30 s, and 3.75 s, respectively. (a) Construct a graph of x versus t2, with a best-fit straight line to describe the data. (b) Determine the acceleration of the cart from the slope of this graph. (c) Explain how your answer to part (b) compares with the theoretical value you calculate using a = g sin as derived in Example 4.3.
An iron bolt of mass 65.0 g hangs from a string 35.7 cm long. The top end of the string is fixed. Without touching it, a magnet attracts the bolt so that it remains stationary, but is displaced horizontally 28.0 cm to the tight from the previously vertical line of the string. The magnet is located to the right of the bolt and on the same vertical level as the bolt in the final configuration. (a) Draw a free-body diagram of the bolt. (b) Find the tension in the string, (c) Find the magnetic force on the bolt.
Why is the following situation impossible? Your 3.80-kg physics book is placed next to you on the horizontal seat of your car. The coefficient of static friction between the book and the seat is 0.650, and the coefficient of kinetic friction is 0.550. You are traveling forward at 72.0 km/h and brake to a stop with constant acceleration over a distance of 30.0 m. Your physics book remains on the seat rather than sliding forward onto the floor.
A makeshift sign hangs by a wire that is extended over an ideal pulley and is wrapped around a large potted plant on the roof as shown in Figure P6.10. When first set up by the shopkeeper on a sunny and dry day, the sign and the pot are in equilibrium. Is it possible that the sign falls to the ground during a rainstorm while still remaining connected to the pot? What would have to be true for that to be possible? FIGURE P6.10 Problems 10 and 11.