Problem 3: The force F = (6.55 N)i + (5.79 N)j acts on a particle as it moves along a straight line from Cartesian coordinate (0.14 m, 1.64 m) to (6.91 m, 7.11 m).
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- An athlete jumping vertically on a trampoline leaves the surface with a velocity of 8.5 m/s upward. What maximum height does she reach? (a) 13 m (b) 2.3 m (c) 3.7 m (d) 0.27 m (e) The answer cant be determined because the mass of the athlete isnt given.Under the influence of its drive force, a snowmobile is moving at a constant velocity along a horizontal patch of snow. When the drive force is shut off, the snowmobile coasts to a halt. The snowmobile and its rider have a mass of 125 kg. Under the influence of a drive force of 190 N, it is moving at a constant velocity whose magnitude is 6.27 m/s. The drive force is then shut off. Find (a) the distance in which the snowmobile coasts to a halt and (b) the time required to do so.Chapter 5,#6. A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.870 m/s encounters a rough horizontal surface of length ℓ = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.350 and he exerts a constant horizontal force of 279 N on the crate. A man pushes a crate labeled m, which moves with a velocity vector v to the right, on a horizontal surface. The horizontal surface is textured from the right edge of the crate to a horizontal distance ℓ from the right edge of the crate. (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude N direction ---Select--- opposite as the motion of the crate same as the motion of the crate (b) Find the net work done on the crate while it is on the rough surface. J(c) Find the speed of the crate when it reaches the end of the rough surface.
- The diagram shows the all of the forces acting on a body of mass 3.13 kg. The three forces have magnitudes F1 = 59.2 N, F2 = 27.7 N, and F3 = 74.4 N, with directions as indicted in the diagram, where θ = 55.8 degrees and φ = 21.4 degrees. The dashed lines are parallel to the x and y axes. At t = 0, the body is moving at a speed of 5.29 m/s in the positive x direction. 1.)What are the x and y components of the acceleration in m/s2?A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.870 m/s encounters a rough horizontal surface of length ℓ = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.351 and he exerts a constant horizontal force of 289 N on the crate. A man pushes a crate labeled m, which moves with a velocity vector v to the right, on a horizontal surface. The horizontal surface is textured from the right edge of the crate to a horizontal distance ℓ from the right edge of the crate. (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude N direction ---Select--- same as the motion of the crate opposite as the motion of the crate (b) Find the net work done on the crate while it is on the rough surface. J(c) Find the speed of the crate when it reaches the end of the rough surface. m/sStarting from rest, a 92-kg firefighter slides down a fire pole. The average frictional force exerted on him by the pole has a magnitude of 710 N, and his speed at the bottom of the pole is 3.5 m/s. How far did he slide down the pole?
- A box is shoved up a frictionless incline with an initial speed of 13 m/s. The inclined plane makes an angle of 35 degrees with respect to the horizontal. The length of the incline is 60 m. How far above the ground Is the box when it comes to rest? Options for answers: a. 12.3 m b. 8.6 m c. 15.1 m d. 10.5 mA man pushing a crate of mass m = 92.0 kg at a speed of v = 0.875 m/s encounters a rough horizontal surface of length ℓ = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.354 and he exerts a constant horizontal force of 292 N on the crate. A man pushes a crate labeled m, which moves with a velocity vector v to the right, on a horizontal surface. The horizontal surface is textured from the right edge of the crate to a horizontal distance ℓ from the right edge of the crate. (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude N direction (b) Find the net work done on the crate while it is on the rough surface. J(c) Find the speed of the crate when it reaches the end of the rough surface. m/sA man pushing a crate of mass m = 92.0 kg at a speed of v = 0.875 m/s encounters a rough horizontal surface of length ℓ = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.350 and he exerts a constant horizontal force of 297 N on the crate. A man pushes a crate labeled m, which moves with a velocity vector v to the right, on a horizontal surface. The horizontal surface is textured from the right edge of the crate to a horizontal distance ℓ from the right edge of the crate. (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude ______N direction ---Select--- (b) Find the net work done on the crate while it is on the rough surface._____ J(c) Find the speed of the crate when it reaches the end of the rough surface._____m/s
- The engines of a tanker broke down and the wind pushes the ship with a constant speed of 1.5 m / s straight towards a reef. When the boat is 500 m from the reef, the wind stops and the engineer manages to start the engines. The rudder is stuck, so the only option is to try to accelerate backwards. The mass of the ship and its cargo is 3.6 x 107 kg and the engines produce a net horizontal force of 8 x 104 N. The hull can withstand impacts at a speed of 0.2 m / s or less. The retarding force that the water exerts on the hull of the ship can be neglected. a) The equation of motion that corresponds to the horizontal component is? b)The acceleration of the ship is equal to? c) If the reef does not exist, the vessel, before stopping, travels what distance?Starting at rest, a mass of 2.50 kg slides down an incline of 65.0 degrees. If the coefficient of kinetic friction is known to be 0.435, what is the speed of the mass after sliding 2.50 m down the incline. Answer Choices: 4.81 m/s 7.08 m/s 21.2 m/s 5.95 m/s 6.84 m/s 8.24 m/sA speedboat weighing 644 lbs is powered by a constant force of 40 lbs. Friction between the boat and the water is negligible, but there is wind resistance proportional to the velocity of the boat and is 10 lbs. for a speed of 5 fps. Assuming the boat started from rest, find the speed after 10 sec.