Two horizontal forces act on a 2.7 kg chopping block that can slide over a frictionless kitchen counter, which lies in an xy plane. One force is F(4.0 N)î + (4.3 N) j. Find theacceleration of the chopping block in unit-vector notation for each of the following second forces.(a)= (-4.0 N)î + (-4.3 N)ĵm/s?(b) F2 = (-4.0 N)î + (4.3 N) ĵm/s2(c) F2 = (4.0 N)î + (-4.3 N) ĵm/s2Submit Answer

Answered: Image /qna-images/answer/4a94bdc5-b65d-4d46-85e9-6933e49668ac.jpg

Two horizontal forces act on a 2.7 kg chopping block that can slide over a frictionless kitchen counter, which lies in an xy plane. One force is F (4.0 N)î + (4.3 N) ĵ. Find the acceleration of the chopping block in unit-vector notation for each of the following second forces. (a) F2 = (-4.0 N)Î + (-4.3 N)ĵ a = m/s2 (b) F2 = (-4.0 N)î + (4.3 N)ĵ m/s2 (c) F2 = (4.0 N)î + (-4.3 N) ĵ m/s2

Two horizontal forces act on a 2.7 kg chopping block that can slide over a frictionless kitchen counter, which lies in an xy plane. One force is F (4.0 N)î + (4.3 N) ĵ. Find the acceleration of the chopping block in unit-vector notation for each of the following second forces. (a) F2 = (-4.0 N)Î + (-4.3 N)ĵ a = m/s2 (b) F2 = (-4.0 N)î + (4.3 N)ĵ m/s2 (c) F2 = (4.0 N)î + (-4.3 N) ĵ m/s2

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter5: Newton's Laws Of Motion

Section: Chapter Questions

Problem 32PQ: If the vector components of the position of a particle moving in the xy plane as a function of time...

See similar textbooks

Similar questions

The x and y coordinates of a 4.00-kg particle moving in the xy plane under the influence of a net force F are given by x = t4 6t and y = 4t2 + 1, with x and y in meters and t in seconds. What is the magnitude of the force F at t = 4.00 s?
A 3.00-kg object is moving in a plane, with its x and y coordinates given by x = 5t2 1 and y = 3t3 + 2, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 2.00 s.
In the figure, a slab of mass m1 = 40 kg rests on a frictionless floor, and a block of mass m2 = 10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force F→ of magnitude 104 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?
A particle, which remains at rest, is acted on by three forces F, G and H. The force F has magnitude 18N and is directed to the left and down, making an angle of 40 degrees with the vertical. The force G has magnitude 15N and is directed to the right and down, making an angle of 70 degrees with the horizontal. Find the magnitude of the vector H and the acute angle it makes with the horizontal.
In Fig, a slab of mass m1 =40 kg rests on a frictionless floor, and a block of mass m2 =10kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force of magnitude 100 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?
a 2 kg golf ball moves along an x axis according to x(t) = 10t^3 - 2.80t^2 + 7.4t +15 , with x in meters and t in seconds . in unit-vector notation , what is the net force acting on the particle at t= 5.20 s?
Three forces act on an object, considered to be a particle, which moves with constant velocity v = (3i ^ − 2j ^ ) m/s. Two of the forces are F→1 = (3i ^ + 5j ^ − 6k ^ ) N and F→2 = (4i ^ − 7j ^ + 2k ^ ) N. Find the third force.
a slab of mass m1 40 kg rests on a frictionless floor, and a block of mass m2 10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40.A horizontal force of magnitude 100 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?
Tarzan, who weighs 777 N, swings from a cliff at the end of a 16.5 m vine that hangs from a high tree limb and initially makes an angle of 21.9° with the vertical. Assume that an x axis points horizontally away from the cliff edge and a y axis extends upward. Immediately after Tarzan steps off the cliff, the tension in the vine is 721 N. Just then, what are (a) the force from the vine on Tarzan in unit-vector notation, and (b) the net force acting on Tarzan in unit-vector notation? What are (c) the magnitude and (d) the direction (measured counterclockwise from the positive x-axis) of the net force acting on Tarzan? What are (e) the magnitude and (f) the direction of Tarzan's acceleration just then?
A particle, which remains at rest, is acted on by three forces F, G and H. The force F has magnitude 16N and is directed to the right and down, making an angle of 50 degrees with the horizontal. The force G has magnitude 7N and is directed to the left and down, making an angle of 50 degrees with the horizontal. Find the magnitude of the vector H, and the acute angle it makes with the horizontal. Give the magnitude to one decimal place and the angle to the nearest degree. What is the magnitude of H and what is the acute angle H makes with the horizon?
A 0.150 kg particle moves along an x axis according to x(t)=-13.00 + 2.00t - 4.00t2 -3.00t3, with x in meters and t in seconds. In unit-vector notation, what is the net force acting on the particle at t = 3.40 s?
the coefficient of static friction between block A and a horizontal floor is 0.320, and the coefficient of static friction between block B and the floor is 0.300. The mass of each block is 2.00kg,and they are connected together by a cord. If a horizontal force F pulling on block B is slowly increased ,in a direction parallel to the connectin cord,until the block start sliding ,what is the magnitude of F at the instant that they start to slide?