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- Consider 2 forces acting on a mass of 2.47 kg. F1 = 11.0 N @ 24.5 degrees and F2 = 7.45 N @ 75.7 degrees where the angles are measured relative to the +x direction. What is the magnitude of the acceleration produced considering only these 2 forces actingarrow_forwardWhich of the following statements about gravitational force, Fg , is not correct? a. Gravitational force is an attractive force only; it is never repulsive. b. Gravitational forces always exist in pairs of equal magnitude. c. The gravitational force between two objects depends on their separation. d. Gravitational force is the strongest of the fundamental forces.arrow_forwardConsider 2 forces acting on a mass of 2.91 kg. F1 = 9.3 N @ 22 degrees and F2 = 6.28 N @ 83.7 degrees where the angles are measured relative to the +x direction. What is the magnitude of the acceleration produced considering only these 2 forces acting? everything in 3 sig figsarrow_forward
- A 475-gram ball is traveling horizontally at 12.0 m/s to the left when it is suddenly struck horizontally by a bat, causing it to reverse direction and initially travel at 8.50 m/s to the right. If the bat produced an average force of 1275 N on the ball, for how long (in milliseconds) was it in contact with the ball? 5.64 6.64 7.64 8.64 9.64arrow_forwardWhat is the direction of the net force, expressed as an angle in degrees measured clockwise relative to the positive x axis? Two small forces are exerted on a small 186kg asteroid by a pair of space tractors. F⃗ 1F⃗ 2==(−3.13N)î +(−4.72N)ĵ (10.58N)î +(−4.04N)ĵarrow_forwardThe following forces are acting on a 250 g box on a horizontal surface: A downward force of gravity with magnitude 2.45 N. An upward normal force with magnitude 2.45 N. A rightward pull from a rope of 5.0 N. A leftward kinetic friction force with magnitude 7.5 N. At this instant, what is the magnitude of the acceleration of the box?arrow_forward
- Suppose that a projectile of mass m moves in a verticalplane in the atmosphere near the surface of the earth underthe influence of two forces: a downward gravitationalforce of magnitude mg, and a resistive force FR that isdirected opposite to the velocity vector v and has magnitudek v2 (where v = |v| is the speed of the projectile;see Fig. 4.1.15). Show that the equations of motion of theprojectile are mx'' = -kvx' , my'' = -kvy' -mg,arrow_forwardFind the magnitude of the gravitational force (in N) between a planet with mass 6.75 * 10 ^ 24 * kg and its moon, with mass 2.55 * 10 ^ 22 * kg if the average distance between 2.60 * 10 ^8 m. What is the moon's acceleration (in m /s ^ 2) toward the planet? What is the planet's acceleration (in m/s^ 2 ) toward the moon?arrow_forwardIn a laboratory experiment, an initially stationary electron (mass = 9.11 x 10–31 kg) undergoes a constant acceleration through 2.4 cm, reaching a speed of 5.7 x 106 m/s at the end of that distance. What are (a) the magnitude of the force accelerating the electron and (b) the electron's weight?arrow_forward
- A mass of 0.84 kg is moved by a force that is always directed towards the North but its magnitude changes quadratically with time. The magnitude of the force is F=(9 N/s^2)t^2. The y−axis points towards the North. What is the change in velocity in m/s between t=0 and t=1.6 what is the change in the y−coordinates in meters of the object between initial time t=0 s and t=1.6s with initial velocity 17.1 m/s directed North (same direction of force)arrow_forwardAn archer pulls a bowstring back a distance of 20 cm with an average force of 85 N. The arrow has a mass of 20.0 g. When he releases the string, what is the velocity of the arrow when it leaves the bow? 41 m/s 1.2 m/s 39 m/s 32 m/s 22 m/sarrow_forwardIn 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?arrow_forward
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