A 2.0 kg particle moves along an x axis, being propelled by a wariable force directed along that axis. Its position is given by x = 3.0 m+ (4.0 m/s)t + ct²- (2.0 m/s³)³, with x in meters and in seconds. The factor c is a constant. At t = 3.0 s, the force on the par- ticle has a magnitude of 36 N and is in the negative direction of the axis. What is c?
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- A dated box of dates, of mass 7.1 kg, is sent sliding up a frictionless ramp at an angle of e to the horizontal. The figure here gives, as a function of time t, the component Vy of the box's velocity along an x axis that extends directly up the ramp. What is the magnitude of the normal force on the box from the ramp? (m/s) 4 2 (s) -2 Number 64.86 Unit the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work SHOW HINT e to search 林 10:44 PM ENG 4/4/2021 13 ) 16 17 tohome %23 3 7. W E R. T. 5A mysterious force acts on all particles along a particular line and always points towards a particular point P on the line. The magnitude of the force on a particle increases as the cube of the distance from that point, that is, F∝ r3, if the distance from the P to the position of the particle is r. It has been determined that the constant of proportionality is 0.23 N/m3, i.e. the magnitude of the force on a particle can be written as 0.23r3, when the particle is at a distance r from the force center. Find the magnitude of the potential energy, in joules, of a particle subjected to this force when the particle is at a distance 0.21 m from point P assuming the potential energy to be zero when the particle is at P. PE= ?The only force acting on a 4.5 kg body as it moves along the positive x axis has an x component Fx = -6x N, where x is in meters. The velocity of the body at x = 1.9 m is 8.2 m/s. (a) What is the velocity of the body at x = 4.5 m? (b) At what positive value of x will the body have a velocity of 5.9 m/s?
- Problem 5: Consider the vectors, D = (6.00î - 8.00j) m, B = (-8.00î + 3.00j) m, and A = (26.0î + 19.0j) m.= -3x N, where x is in meters. The velocity of the body at The only force acting on a 3.8 kg body as it moves along the positive x axis has an x component Fx x = 2.5 m is 11 m/s. (a) What is the velocity of the body at x = 4.2 m? (b) At what positive value of x will the body have a velocity of 3.4 m/s? (a) Number Units (b) Number UnitsThe only force acting on a 3.6 kg body as it moves along the positive x axis has an x component Fx = - 5x N, where x is in meters. The velocity of the body at x = 1.8 m is 9.0 m/s. (a) What is the velocity of the body at x = 4.1 m? (b) At what positive value of x will the body have a velocity of 2.5 m/s?
- A horizontal force of 80.0 N is applied to a 5.00 kg block as the block slides a distance of 0.800 m along a horizontal floor. The coefficient of kinetic friction between the floor and the block is 0.500. If the block is initially at rest, how fast is it moving at the end of the displacement?A parachutist whose mass is 70 kg drops from a helicopter hovering 2500 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b₁ = 30 N-sec/m when the chute is closed and b₂ = 90 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 15 m/sec, after how many seconds will the parachutist reach the ground? Assume that the acceleration due to gravity is 9.81 m/sec². - The parachutist will reach the ground after (Round to two decimal places as needed.) * seconds.DETAILS PREVIOUS ANSWERS SERPSE10 7.4.P.016. MY NOTES ASK YOUR TEACHER The force acting on a particle is F, = (10x – 17) N, where x is in meters. (a) Make a plot of this force versus x from x = 0 to x = 3.00 m. F (N) F (N) 50 20 40 10 3어 20 0,5 1.0 15 20 2,5 x (m) 30 10 -10 x (m) 3.0 0.5 1.0 1.5 2.0 2.5 F (N) F (N) 0,5 1.0 + x (m) 2,5 30 1아 1.5 2,0 -1어 2,5 x (m) 30 -20 0,5 1,0 15 -30 -10 - 40 -20 - 50 (b) From your graph, find the net work done by this force on the particle as x = 0 to x = 2.55 m. (Include the correct sign.) it moves from Need Help? Read It
- If a 3.73 kg object is placed on a frictionless incline of 67.3 ° and released from rest, what is speed of the object down the incline after traveling a distance of 1.18 m? Enter a number rounded to 2 decimal places and assume it has proper Sl units.The only force acting on a 4.2 kg body as it moves along the positive x axis has an x component Fx= -4x N, where x is in meters. The velocity of the body at x = 1.7 m is 8.1 m/s. (a) What is the velocity of the body at x = 3.9 m? (b) At what positive value of x will the body have a velocity of 2.3 m/s? (a) Number i Units (b) Number i UnitsAn object is pushed in x and y directions with the force vector F=-230i+10j (N). The object weighs 20kg and goes through a displacement of r=-2i-5j (m). What would be the final velocity of the object?