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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- Problem 2: A block with a mass of m = 31 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F = 12 N. The second has a magnitude of F, = 23.25 N and acts on the body at an angle 0= 18° measured from horizontal, as shown. F,Situation 1. To model a spacecraft, a toy rocket engine is securely fastened to a large puck that can glide with negligible friction over a horizontal surface, taken as the xy plane. The 4.00-kg puck has a velocity of 3.00î m/s at one instant. Eight seconds later, its velocity is to be (8.00î + 10.00ĵ) m/s. Assuming that the rocket engine exerts a constant horizontal force, find: 8. The x and y components of the force. 9. The magnitude of the resultant force. 10. 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.An airplane of mass 1.50 x 104 kg is in level flight, initially moving at 60.0 m/s. The resistive force exerted by air on the airplane has a magnitude of 4.0 x 104 N. By Newton’s third law, if the engines exert a force on the exhaust gases to expel them out of the back of the engine, the exhaust gases exert a force on the engines in the direction of the airplane’s travel. This force is called thrust, and the value of the thrust in this situation is 7.50 x 104 N. (a) Is the work done by the exhaust gases on the airplane during some time interval equal to the change in the airplane’s kinetic energy? Explain. (b) Find the speed of the airplane after it has traveled 5.0 x 102 m.
- A high jumper with a body weight of 820 N exerts an average vertical force of 1640 N down on the floor for 0.75 s. The average vertical force exerted on the jumper by the floor is:Three forces, F1=2Ni+3Nj, F2=-10Nj and F3=3Ni+1Nj-5Nk, act on a particle. Find the net force on the particle.A particle, which remains at rest, is acted on by three forces: F, G & H. The force F has a magnitude of 45N and is directed to the left and down making an angle of 45 degrees with the vertical. The force G is directed horizontally right and H is directed to the right and up making an angle of 30 degrees with the vertical. Find the magnitude of the vectors G and H to 1 d.p.
- A worker pushes a 35.0-kg package on a horizontal roller-belt conveyor until it reaches a certain speed. The package then coasts on the horizontal conveyor, all the while slowing down, until it comes to a complete stop after moving 1.20 m. While the package is coasting on the conveyor, the opposing friction force averages 6.00 N. Use the WET to find the speed of the package after the worker pushes it and just as it begins to coast. 0.625 m/s 0.759 m/s 0.600 m/s 0.510 m/s 0.802 m/s 0.641 m/sA warehouse worker is pushing a 90.0 kg crate with a horizontal force of 291 N at a speed of v = 0.875 m/s across the warehouse floor. He encounters a rough horizontal section of the floor that is 0.75 m long and where the coefficient of kinetic friction between the crate and floor is 0.351. T↑ m Determine the magnitude and direction of the net force acting on the crate while it is pushed over the rough section of the floor. magnitude -18.60 xA particle of mass 6 kg is placed on a rough plane inclined at an angle a to the horizontal where sin a = 0.8. The coefficient of friction between the particle and the plane is 0.4. An upward force PN actson the particle along a line of greatest slope of the plane. Find the greatest value of P
- A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.880 m/s encounters a rough horizontal surface of length { = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.356 and he exerts a constant horizontal force of 276 N on the crate. (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. (b) Find the net work done on the crate while it is on the rough surface. (c) Find the speed of the crate when it reaches the end of the rough surface.A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.880 m/s encounters a rough horizontal surface of length { = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.356 and he exerts a constant horizontal force of 276 N on the crate. (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude 44.96 V N direction opposite as the motion of the crate (b) Find the net work done on the crate while it is on the rough surface. -29.22 (c) Find the speed of the crate when it reaches the end of the rough surface. 1.2A particle is subjected to the action of two forces : F1 = 41+ 3 + 6 k [ kN ] and F2 = 51-61 -5k [ kN ] . The coordinate direction angle of the resultant force with the X - axis is