an object with a mass of (m) is moving along the x-axis according the the equation x(t) = at^2 -2bt, where a and b are positive constants. what’s the magnitude of the net force at a time of t=0? express the answer in terms of m and a.

an object with a mass of (m) is moving along the x-axis according the the equation x(t) = at^2 -2bt, where a and b are positive constants. what’s the magnitude of the net force at a time of t=0? express the answer in terms of m and a.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 42P: Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the...

See similar textbooks

Related questions

Q: R switch In the circuit shown in the figure above a battery supplies a constant voltage of E=30V,…

Q: A small object with mass of 0.5kg is attached to the lower end of a long string and moves in a…

Q: 126.2 N carton is pulled up a frictionless baggage ramp inclined at 33.0 above the horizontal by a…

Q: A spherical balloon has a radius of 7.15 mm and is filled with helium. How large a cargo can it…

A: Note-Density of air is, Density of helium is,

Q: A 60 kg sprinter, starting from rest, runs 46 m in 7.0 s at constant acceleration. Part A What is…

A: The mass of the sprinter is 60 kg.The displacement of the object is 46 m in the first 7 s.The…

Q: 1. Question 1: Draw and label a positive point charge. Draw the predicted electric field lines with…

Q: 4: 2-D vectors: Set up a nor How many ways

A: Part AThe image shows a white sheet of paper with a black arrow drawn on it. The arrow is pointing…

Q: 1. Two vectors A and B have fixed magnitudes but their ori A+B B

A: The magnitude of the sum of two vectors is given by the formula, where,…

Q: A horizontal pull P pulls two wagons over a horizontal frictionless floor, as shown in the figure.…

Q: An electric-powered snow-thrower machine throws snowballs 0.2 kg each at a speed of 9 m/s. The…

A: The kinetic energy (KE) of each snowball is given by,Where:m is the mass of each snowball.v is the…

Q: Consider the system shown in the figure (Figure 1). The rope and pulley have negligible mass, and…

Q: In the operating room, anesthesiologists use mass spectrometers to monitor the respiratory gases of…

Q: When its engine of power 74 kW is generating full power, a small single-engine airplane with mass…

Q: Can you help with the ending of part 3 why do we add back in the mu of static friction I don't get…

A: Free body diagram:

Q: entric and lie in the same plane. The inner coil contains 120 turns of wire, has a rac carries a…

A: Number of turns in the inner coil, Radius of inner coil,…

Q: switch The figure above shows a circuit containing an electromotive force (a battery), a capacitor…

Q: n asteroid has a radius of about 7.5 km. Assuming that the density of the asteroid is the same as…

A: Page 1

Q: Arrange the wavetypes based on the energy levels provided in the figure of the electromagnetic…

Q: 2. An object has a density of 0.817 x 10³ kg/m3. If the density of water is 1.0 x 10³ kg/m3, a.…

Q: 11. LO 8: Martin walks 2 km 45° east of south (Leg 1). He then changes directions and walks another…

Q: You are swinging a sling shot, which is basically a string tied to a rock, vertically as shown.…

A: Tangential component of the rock's velocity, vt(t)=vo−vo4sin(2πT⋅t)where vo is the rock's speed at…

Q: One way to create artificial gravity in a space station is to spin it. If a cylindrical space…

Q: You're designing a manned submersible to withstand the pressure of seawater at the bottom of the…

Q: Solve the following problems. Write your answers on a separate sheet of paper. Show your complete…

Q: Two circular coils are concentric and lie in the same plane. The inner coil contains 120 turns of…

Q: A particle of charge 45 mC moves through a potential difference of 200 kV. How much work has been…

Q: How do you derive Equation 4 from Equations 1 and 3? Equation 1 is Current, I= emf/(R+r) and…

A: Equation (1) is Equation (3) is Using equations (1) and (3) show that equation (4) as

Q: 4. A 35-N object has a density of 2.66 x 10³ kg/m³. If it is immersed in a fluid with a density of…

Q: (a) Number 1.58E-7 (b) Number 3.38E-3 (c) Number 5.33E-3 Units rad/s Units m/s Units m/s^2 v

A: a)Write the expression for the angular speed and substitute the corresponding values.

Q: LO 4: A force of 6 N acts 60° north of west. What is the effective force along the wel north?

A: 5. Given, Magnitude of force…

Q: 1a. If the far end of the track is raised (the side farthest from the pulley), how does the problem…

Q: A ball traveling with an initial momentum of 4.0 kg•m/s bounces off a wall and comes back in the…

A: Initial momentum, p = 4.0 kg•m/s Final momentum, P = -3.5 kg.m/s

Q: a spring cannon consists of a spring that can launch a ball straight upwards. If the spring is…

A: Here, the total energy of the compressed spring is the converted form or the kinetic energy of the…

Q: ock B has a mass of 4.8 kg. They are in contact and sli

A: Image: A small box of mass m1 is sitting on a board of mass m2 and length L. The coefficient of…

Q: Part B Name these forces. Check all that apply. Gravity FG Friction with the surface Ffr s Normal…

Q: An AC power supply is connected to a resistor R. TH RMS emf is VRMS. The current is i(t) = io…

A: Maximum value of current, Rms voltage, We need to…

Q: ]Refer to the diagram below. V = 91.7 V; R1 = 115 Ohms; R2 = 136 Ohms; R3 = 192 Ohms; R4 = 120 Ohms;…

Q: Point charges q1=+2.00μC and q2=−2.00μC are placed at adjacent corners of a square for which the…

A: We know the work is done on a charge q to move from position a to b isWhere: is potential at…

Q: esistance R. A magnetic field perpendi oil is increasing at rate . Find the in St the wire

A: Number of turns in the circular coil, The radius of the coil,…

Q: You tie one end of 0.3-m-long spring to a 0.5 kg mass. Holding the other end of the spring in your…

Q: A railroad car with a mass of 12,000 kg collides and couples with a second car of mass 18,000 kg…

A: Mass of vehicle 1 is Mass of vehicle 2 is Initially the vehicle 2 is at rest, that is, Initial…

Q: Given a 7.9 pF air-filled capacitor, you are asked to convert it to a capacitor that can store up to…

Q: The coefficients of static and kinetic friction between the 89-kg block and the inclined plane are…

A: Concept used:The object has to overcome Maximum Static frictional force in order to move. Maximum…

Q: F m₁ m₂ Two blocks, m1 = 4 kg and m2 = 2.8 kg, are in contact with each other and are on a…

Q: Each mass in (Figure 1) is 2.00 kg. Find the magnitude of the net gravitational force on mass A due…

Q: The equation of motion of a particle is s = t³ - 3t, where s is in meters and t is in seconds.…

Q: 1. Calculate a: 8 cm U a 5 cm

Q: A 292-kg motorcycle is accelerating up and to the right along a ramp that is inclined 30.0 degrees…

Q: Steel is commonly heated and hammered in order to give it a specific shape. If a solid piece of…

A: The principle of calorimetry states that the heat gained by the steel equals the heat lost by the…

Q: 55.0 -2.00 m- The triangular loop of wire shown in the drawing carries a current of 1 = 4.23 A. A…

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

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: Determine the given variables

VIEW

Step 2: Calculating the magnitude of net force

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 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 3.5 kg particle moves along an x axis according to x(t) = −12 + 5t2 − 4t3, with xin meters and t in seconds. In unit-vector notation, what is the net force acting on theparticle at t = 6 s?
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.
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,
A mug of root beer is sliding across a horizontal table with a constant velocity of 5.0[m/s], and is experiencing a friction force. If the mug has a total mass of 2.60[kg] and μk = 0.250, find the force due to friction. Express your answer in N.
wo forces are acting on a 1.08 kg object. One force is directed completely in the negative x direction and has a magnitude of 8.3 N, The second force has a magnitude of 7.5 N and is directed 28∘28∘ to the right of the negative y axis. Assume standard Cartesian coordinates. Find the magnitude of the acceleration of the object
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 =
A particle of mass 1.0 kg is subjected to a force Fiz = -3.0N and a second force of F2 = 14.0N.Calculate the magnitude of the acceleration, in m/s, of the particle. Use two significant digits please.
A force F of magnitude 665 N lies in the line of action AB = 3i - 1j + 1.6k. What is the magnitude of the y-component of the force?
A bicep muscle shown in Fig. P2.3 can apply a force F measured in Newtons (N) as a function of the elbow angle ϕ, measured in degrees as described by the quadratic equation F(ϕ) = 6ϕ − 0.04ϕ2. For a bicep force of F = 200 N, solve the equation for ϕ by each of the following methods: factoring, completing the square, and the quadratic formula. Using your solution from part (a), determine the elbow angle ϕ where the force exerted by the bicep is maximum. In addition, calculate the maximum force Fmax. Plot F versus ϕ and clearly indicate the maximum force on the graph. Also clearly label the x-intercepts on the graph.
A drag force is represented by vector a of magnitude 5.72 N and direction 148.6 degrees (measured from the +x-axis, counter-clockwise). If the gravitational force of a projectile is represented by vector bof magnitude of 11.2 N. The x-component of the Sum vector, sx (N) is:
A force F1 of magnitude 5.20 units acts on an object at the origin in a direction theta = 48.0 above the positive x-axis. A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find the graphically the magnitude and direction of the resultant force F1+ F2.
A horizontal line PQRS is 12 m long, where PQ = QR = RS = 4 m. Forces of 1000 N, 1500 N, 1000 N and 500 N act at P, Q, R and S respectively with downward direction. The lines of action of these forces make angles of 90°, 60°, 45° and 30° respectively with PS. Find the magnitude, direction, and position of the resultant force.