Write an expression for the component of net force, Fnet,x, in the x direction, in terms of the variables given in the problem statement. Fnet,x=
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- If the vector components of the position of a particle moving in the xy plane as a function of time are x(t)=(2.5ms2)t2i and y(t)=(5.0ms3)t3j, when is the angle between the net force on the particle and the x axis equal to 45?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.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 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.There are two forces on the 1.19 kg box in the overhead view of the figure but only one is shown. For F1 = 15.7 N, a = 14.7 m/s2, and θ = 34.1°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.)A particle with a mass of 10 kg is moving at a velocity of (3t^2 + 4t)j m/s. What would be the expression for the external net force F(t) being applied to the particle? Note: i and j are unit vectors
- 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 0.340 kg particle moves in an xy-plane according to x(t) = -15 + 2t – 4t^3and y(t) = 25 + 7t –9t^2, with x and y in meters and t in seconds. At t = 0.700 s, what are (a) the magnitude and (b) the angle (relative to the positive direction of the x-axis) of the net force on the particle, and (c) what is the angle of the particle's direction of travel?a 2.0 kg cookie tin is accelerated at 3.0 m/s^2 in the direction shown by over a frictionless horizontal surface. The acceleration is caused three horizontal forces, only two of which are shown: of magnitude 10 N and of. Magnitude 10 N. What is the third force in unit-vector notation and in magnitude angle notation?
- A 0.35 kg particle moves in an xy plane according to x(t) = - 17 + 1 t - 5 t3 and y(t) = 18 + 5 t - 10 t2, with x and y in meters and t in seconds. At t = 1.5 s, what are (a) the magnitude and (b) the angle (within (-180°, 180°] interval relative to the positive direction of the xaxis) of the net force on the particle, and (c) what is the angle of the particle's direction of travel?A block of mass M slides down a frictionless plane inclined at an angle ? with the horizontal. The normal reaction force exerted by the plane on the block is? CHOICES: MgMg sin Mg cos "zero, since the plane is frictionless.?A particle of mass 1.15 kg is subject to a force that is always pointed towards the East but whose magnitude changes linearly with time t. The magnitude of the force is given as F = (6 N/s)t. Let the x-axis point towards the East. (a) Determine the change in the velocity Δv, in meters per second, of the particle between t = 0 and t = 1.2 sec. (b) Determine the change in x-coordinate Δx, in meters, of the particle between t = 0 and t = 1.2 if the initial velocity is 12.6 m/s, and points in the same direction as the force.