Two forces F, = (68.50î – 12.93ĵ)N and F, = (19.73î - 72.94ĵ) N are exerted on a particle. The particle's mass is 19.57 kg. %3D (a) Find the particle's acceleration in component form. (Express your answer in vector form.) m/s2 a = (b) What are the magnitude and direction of the acceleration? m/s? ° counterclockwise from the +x axis magnitude direction

Two forces F, = (68.50î – 12.93ĵ)N and F, = (19.73î - 72.94ĵ) N are exerted on a particle. The particle's mass is 19.57 kg. %3D (a) Find the particle's acceleration in component form. (Express your answer in vector form.) m/s2 a = (b) What are the magnitude and direction of the acceleration? m/s? ° counterclockwise from the +x axis magnitude direction

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

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 8P: A 3.00-kg object is moving in a plane, with its x and y coordinates given by x = 5t2 1 and y = 3t3...

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Two forces F1 = (55.6i - 26.83j) N and F2 = (27.41i - 80.52j) N are exerted on a particle. The particle's mass is 10.14 kg. (a) Find the particle's acceleration in component form (express your answer in vector form). (b) what are the magnitude (m/s2) and direction of the acceleration (counterclockwise from the +x axis). Use four decimal places.
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?
An electron is a subatomic particle (m = 9.11 x 10-31 kg) that is subject to electric forces. An electron moving in the +x direction accelerates from an initial velocity of +7.67 x 105 m/s to a final velocity of 2.57 x 106 m/s while traveling a distance of 0.0857 m. The electron's acceleration is due to two electric forces parallel to the x axis: = 7.62 x 10-17 N, and , which points in the -x direction. Find the magnitudes of (a) the net force acting on the electron and (b) the electric force .
According to a simplified model of a mammalian heart, at each pulse, approximately 20 g of blood is accelerated from 0.26 m/s to 0.35 m/s during a period of 0.10 s. What is the magnitude of the force exerted by the heart muscle? Express your answer to two significant figures and include the appropriate units. F= ______ units I got 0.02N but it is wrong.
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A cart of mass 8.0kg was moved by applying two constant forces. Force 1 is 28.0N at 42.0 degrees, and Force 2 is 13.0N at 110 degrees. Initially, the cart has a velocity of (3.50i + 2.20j)m/s. a. Express the two forces in unit-vector notation.b. Find the total force exerted on the cart.c. Find the angle at which the total force is applied.d. What is the acceleration of the cart?e. What is the cart's velocity after 5.0s?f. What is the position of the cart after 5.0s?g. What is the angle of the position after 5.0s?h. What is the total work done by the two applied forces?
A freight train consists of two 8.00x104 kg engines and 45 cars with average masses of 5.50x104 kg. What force must each engine exert backward on the track to accelerate the train at a rate of 5.00x10-2 m/s2 if the force of friction is 7.50x105 N, assuming the engines exert identical forces? Group of answer choices 882 kN 441 kN 221 kN 110 kN
A rocket is launched vertically from the Earth, and the thrust (pushing force) from the engines is directed upward, and has a magnitude of 5.00 x 106N. The mass of the rocket is initially 2.00 x 105 kg.What is the initial acceleration of the rocket, assuming you can neglect air resistance? a 50.0 m/s2 b 15.2 m/s2 c 7.6 m/s2 d 25.0 m/s2
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