The figure below shows two boxes connected to each other by a light rope that passes over a pulley with negligible friction. The box of mass m₁ = 4.30 kg lies on a horizontal table with negligible friction, while the box of mass m₂ = 10.4 kg hangs vertically. Ⓡ (a) What is the magnitude of the acceleration of each box (in m/s2)? (Here, a, is the acceleration of m₁, and a₂ is the acceleration of m₂.) m/s² m/s² a₁ a₂ = = m₂ (b) What is the tension in the rope (in N)? N Need Help? Submit Answer Read It

The figure below shows two boxes connected to each other by a light rope that passes over a pulley with negligible friction. The box of mass m₁ = 4.30 kg lies on a horizontal table with negligible friction, while the box of mass m₂ = 10.4 kg hangs vertically. Ⓡ (a) What is the magnitude of the acceleration of each box (in m/s2)? (Here, a, is the acceleration of m₁, and a₂ is the acceleration of m₂.) m/s² m/s² a₁ a₂ = = m₂ (b) What is the tension in the rope (in N)? N Need Help? Submit Answer Read It

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 7P: A force F1 of magnitude 6.00 units acts on an object at the origin in a direction = 30.0 above the...

See similar textbooks

Related questions

Q: Given the following data concerning the vernier and main scale, determine the least count and the…

Q: The circuit consists of a battery (V0 = 6.00 V) and five resistors (R1 = 611 Ohms, R2 = 482 Ohms, R3…

Q: A skier with a mass of 62.0 kg (including equipment) is sliding down a snowy slope. The slope makes…

A: Given in question - Mass(m) = 62.0 KgAngle = To find - Magnitude of the acceleration( a).

Q: A model plane that flies at a speed of 13.0 m/s makes a turn of radius 10.0 m and remains at the…

Q: A block rests on a frictionless horizontal surface and is attached to a spring. When set into simple…

Q: A flat (unbanked) curve on a highway has a radius of 220 m. A car successfully rounds the curve at a…

Q: QUESTION 18 Consider 100 grams of nitrogen gas in a container at 1 atm pressure and 1 L volume. This…

Q: A man walks 20.0km South and then 8.00km 35.0oN of W. a) What is the man’s displacement ?…

Q: When a motor is disconnected from the power, it changes from 1700 revolutions per minute to 1000 in…

Q: A large box of mass M is pulled across a horizontal, frictionless surface by a horizontal rope with…

Q: In your circuit toolbox you have only some 102 resistors and switches, which can be open or closed.…

A: So we must use key to get our required value of equivalent resistance.

Q: The circuit shown in (Figure 1) contains two batteries, each with an emf and an internal resistance,…

A: The circuit contains two batteries, each with an emf and an internal resistance, and two resistors.

Q: 4. Two cables are tied together at C and are loaded as shown. Part 1. If W205 lb, determine the…

A: Make free body diagram

Q: INT The block is resting on a level surface. N The block is resting on a surface tilted up at a…

Q: In the (Figure 1) the coefficient of static friction between mass mA and the table is 0.59, whereas…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: th a diameter of 1.3 cm, calculate its resistance. Determine the voltage drop over the brass wire…

A: Length of Brass wire, Diameter of Brass wire,…

Q: A 1.2 x 10-³-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.4 x…

Q: A plastic cup of negligible mass contains 0.280 kg of an unknown liquid at a temperature of 30.0 °C.…

Q: A transverse wave traveling on a Slinky® that is stretched to a total length of 2.5 m takes 3.5 s to…

Q: Consider a glass of 197 mL of water at 28°C. Calculate the mass of ice at -15°C that must be added…

Q: 12. The earth rotates once per day about an axis passing through the north and south poles, an axis…

A: Radius of earth R = 6.38 × 10^6 m (B) at a latitude of 30° north of equator Speed V= R' w = Rcos(…

Q: an 15- Two masses (m, 10.0kg, m,- 30.0kg) hanged on a frictionless pulty and surface by rope as in…

Q: copper wire has a square cross section 2.1 mm on a side. The wire is 3.5 m long and carries a…

Q: the practice problem is saying this is incorrect

Q: A force is applied to a steel wire 'A', rigidly clamped at one end. As a result elongation in the…

Q: The Kingda Ka roller coaster at Six Flags Great Adventure and Safari in New Jersey currently holds…

Q: If the electric potential in a region is given by V(x) = (6.00 Vm^2)x^-2, find the x component of…

Q: A 2.5 kg object is moving to the right with a speed of 1.0 m/s when it experiences the force shown…

Q: A luggage handler pulls a 20.0 kg suitcase up a ramp inclined at 34.0 ∘∘ above the horizontal by a…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Problem 6 handwriting solve on one page dont do its in half half steps images ok. An inventor claims…

Q: The current amplitude in a pure inductor in a radio receiver is to be 250 μA when the voltage…

Q: A 547g squirrel with a frontal surface area of 0.0145m2 falls to the ground from a 5.3m tree. Assume…

Q: Two speakers separarted by a distance of 3.30 m both pointing toward a wall in front of them. A…

Q: x (m) 20 10 0 -10- 12 3 4 5 VX(m/s) 201 10 O -t(s)-10- -12- atrod

Q: Problem 5: A 0.25 kg ball is suspended from a light 1.1 m string as shown. The string makes an angle…

Q: The uniform 7.9-m pole has a mass of 145 kg and is supported as shown. Calculate the force Prequired…

Q: NT6A-WWT1: OBJECT CHANGING VELOCITY-WORK A 2-kg object accelerates as a net force acts on it. During…

Q: tennis ball with mass m = 50 g initially at rest falls from a height of 10 m at t0. The ball hit the…

Q: The figure below shows a bird feeder that weighs 100.1 N. The feeder is supported by a vertical…

Q: Part A The horizontal coordinates of a Frisbeet in a strong wind are given by x=-12t+4ť and y =…

Q: Each of the charged objects described in parts (a)-(c) lie in the xy-plane and are centered on the…

Q: Two blocks with masses m1 = 1.4kg and m2 = 4.6kg are at rest on a frictionless surface with a…

Q: A ball having mass m= 0.1 kg falls from rest under the influence of gravity in a medium that…

Q: A brick has a mass of 1.3kg. It is dropped (from rest) from a height of 18.8m. What is the speed of…

Q: QUESTION 20 In the below figure, A anticlockwise moment is produced by applying a 120 N force at a…

Q: he tires of a car make 88 revolutions as the car reduces its speed uniformly from 92.0 km/hkm/h to…

Q: In the figure below, the sphere weighs 30 N and is in equilibrium. Calculate: • Support reaction…

A: Weight of the sphere W = 30 N

Q: What is the total power delivered in this circuit? R=9 Ω, V = 6 V

Q: Find the capacitance per unit length of two coaxial metal cylindrical tubes, of radii a and b (see…

Q: A current-carrying coil is placed in a uniform magnetic field. If the coil turns through an angle 8,…

A: A current carrying coil is placed in uniform magnetic field.The coil is turned at an angle ''θ''…

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 two boxes connected to each other by a light rope that passes over a pulley with negligible friction. The box of mass

m₁ = 4.30 kg

lies on a horizontal table with negligible friction, while the box of mass

m₂ = 10.4 kg

hangs vertically.

The figure below shows two boxes connected to each other by a light rope that passes over a pulley with negligible friction. The box of mass m₁ = 4.30 kg lies on a horizontal table with negligible
friction, while the box of mass m₂ = 10.4 kg hangs vertically.
a₁
myr
(a) What is the magnitude of the acceleration of each box (in m/s²)? (Here, a₁ is the acceleration of
m/s²
m/s²
a2
=
=
m1
Need Help?
(b) What is the tension in the rope (in N)?
N
Submit Answer
mq
Read It
and
a2
is the acceleration of m₂.)

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: Draw the free body diagram

VIEW

Step 2: Determine the given information

VIEW

Step 3: Derive the equation of motion of masses

VIEW

Step 4: Calculate the acceleration and tension in rope

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 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

In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the light, four students pull with force 98 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the tight, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction?
The forces acting on the sailplane are its weight W = -500j (lb.) , the drag D = -200i + 100j (lb.), and the lift L. The sum of the forces W + L + D = 0. Determine the composnents and the magnitude of L.
The mass of an ear ring is 950 mg. Express this mass in Sl unit. 1. (a) 9.50 x 106 kg (b) 9.50 x 104 kg (c) 9.50 x 103 g (d) 9.50 x 101 g A 16 g steel ball and a 10 g nylon ball are dropped from the same height at the same time. As the ball 2. reaches the ground, which of the following quantity is not the same for both the balls? |(a) Displacement (b) Velocity (c) Acceleration (d) Weight. A boy pulls a table to the left with a force of 25 N. A second boy pulls the same table to the right with 3. a force of 15 N. What is the resultant force acting on the table? (a) 10 N right (b) 10 N left (c) 40 N right (d) 40 N left A driver accelerates his car and raises its speed from 40 km/h to 80 km/h. The kinetic energy of the 4. car becomes; (a) 2 times (b) 4 times (c) half (d) same The diameter of an optical fiber is 6.0 nm. Its radius in m is 5. (a) 12.0 x 106 m (b) 12.0 x 10° m (c) 3.0 x 106 m (d) 3.0 x 10° m. A swimmer completes the first 50 m of the 100-m free style in 37.8 s. On reaching…
Two friends are trying to pull a car out of a ditch. They apply forces, measured in pounds, of F₁ = 400i + 150j + 150k and F₂ = 300i + 100j + 250k, respectively, to the car, but it does not move. Find F3, the force of friction from the mud and ground preventing the car from becoming unstuck. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) F₁ =
The acceleration of an object due to air resistance is a = -bư/m, where v is the %3D speed of the object and m is its mass. What are the SI units of b? O kg/s O kg/s? O kg/m kg/m? O kg - m/s? none of these
The acceleration of an object moving through a viscous fluid (like honey) is a = -bv / m, where v is the speed of the object and m is its mass. What are the SI units of b? kg /s O kg /s² kg / m kg / m? kg / m·s none of these
Two horses on opposite banks of a canal pull a barge moving parallel the banks by means of two horizontal ropes. The tensions in these ropes are F1 = 185 kN and F2 231 kN, while the angle between them is 58 degrees. Find the 02 in degrees. Write numerical value only and 2 decimal places. = to 8₂ Ө
The figure above shows two objects connected by a rope over a pulley. Assume the pulley is frictionless and has no mass. If m1 is 6 kg and m2 is 10.7 kg, what is the magnitude of the acceleration (in m/s2)?
As you will see in a later chapter, forces are vector quantities, and the total force on an object is the vector sum of all forces acting on it. In the figure below, a force ₁ of magnitude 6.80 units acts on a box at the origin in a direction 0 = 29.0° above the positive x-axis. A second force F2 of magnitude 5.00 units acts on the box in the direction of the positive y-axis. Find graphically the magnitude and direction (in degrees counterclockwise from the +x-axis) of the resultant force ₁ + F2. magnitude direction F₂ F₁ i units ° counterclockwise from the +x-axis
Two forces are applied to an object, F1=3i-2j , F2=i+3j . What is the resultant force on the object? Calculate the magnitude of the resultant force and the angle it makes with the x axis.
In the figure below, a force F, of magnitude 5.50 units acts on an object at the origin in a direction 0 = 32.0° above the positive 1 x-axis. A second force F, of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the 12 magnitude and direction (in degrees counterclockwise from the +x-axis) of the resultant force F, + F,. 2: magnitude units direction ° counterclockwise from the +x-axis 2,
As you will see in a later chapter, forces are vector quantities, and the total force on an object is the vector sum of all forces acting on it. In the figure below, a force F, of magnitude 6.70 units acts on a crate at the origin in a direction 0 = 26.0° above the positive x-axis. A second force F, of magnitude 5.00 units acts on the crate in the direction of the positive y-axis. Find graphically the magnitude and direction (in degrees counterclockwise from the +x-axis) of the resultant force F, + F,. magnitude units direction Counterciockwise from the +x-axis