In the figure, a crate of mass m = 110 kg is pushed at a constant speed up a frictionless ramp (0 = 26°) by a horizontal force F. The positive direction of an x axis is up the ramp, and the positive direction of a y axis is perpendicular to the ramp. (a) What is the magnitude of F? (b) What is the magnitude of the normal force on the crate? (a) Number i 47.798 (b) Number i 109.05 Units Units N N
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- Three forces act on a moving object. One force has a magnitude of 72.3 N and is directed due north. Another has a magnitude of 69.4 N and is directed due west. What must be (a) the magnitude and (b) the direction of the third force, such that the object continues to move with a constant velocity? Express your answer as a positive angle south of east.An electron is a subatomic particle (m= 9.11 x 10-31 kg) that is subject to electric forces. An electron moving in the +x direction accelerates from an initial velocity of +7.31 x 105 m/s to a final velocity of 1.98 x 106 m/s while traveling a distance of 0.0545 m. The electron's acceleration is due to two electric forces parallel to the x axis: F₁ = 7.52 x 10-¹7 N, and F2, which points in the -x direction. Find the magnitudes of (a) the net force acting on the electron and (b) the electric force F2. F₁ F₁ F₂ F₁ (a) Number i (b) Number i VO X Units UnitsA 2.5 kg block is initially at rest on a horizontal surface. A horizontal force F of magnitude 6.2 N and a vertical force P are then applied to the block. The coefficients of friction for the block and surface are ls = 0.37 and Uk = 0.22. (a) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 8. N. (b) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 10.0 N. N (c) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 12.0 N. N Submit Answer
- Two horizontal forces, P and Q, are acting on a block that is placed on a table. We know that P is directed to the left but the direction of Q is unknown; it could either be directed to the right or to the left. The object moves along the x-axis. Assume there is no friction between the object and the table. Here P = -6.1 N and the mass of the block is 3.8 kg. P (a) What is the magnitudeand direction of Q (in N) when the block moves with constant velocity? (Indicate the direction with the sign of your answer.) 6.1 N (b) What is the magnitude and direction of Q (in N) when the acceleration of the block is +7.5 m/s2. (Indicate the direction with the sign of your answer.) X 22.4 The acceleration given here is due to the net force acting on the object. N (c) Find the magnitude and direction of Q (in N) when the acceleration of the block is -7.5 m/s2. (Indicate the direction with the sign of your answer.) X -34.6 What is the direction of motion of the object when the acceleration is…In the figure, a crate of mass m = 116 kg is pushed at a constant speed up a frictionless ramp (0 = 32°) by a horizontal force F. The positive direction of an x axis is up the ramp, and the positive direction of a y axis is perpendicular to the ramp. (a) What is the magnitude of F ? (b) What is the magnitude of the normal force on the crate? (a) Number i Units (b) Number Units > ---In the figure, a crate of mass m = 83 kg is pushed at a constant speed up a frictionless ramp (0 = 28°) by a horizontal force F.The positive direction of an x axis is up the ramp, and the positive direction of a y axis is perpendicular to the ramp. (a) What is the magnitude of F? (b) What is the magnitude of the normal force on the crate? (a) Number i Units (b) Number i Units
- A force in the +x-direction with magnitude F(x) = 18.0 N - (0.530 N/m)x is applied to a 8.30 kg box that is sitting on the horizontal, frictionless surface of a frozen lake. F(x) is the only horizontal force on the box.Four forces act on an object, given by A = 49.3 N east, B = 50.3 N north, C = 76.7 N west, and D = 80.7 N south. (Assume east and north are directed along the +x-axis and +y-axis, respectively.) (a) What is the magnitude of the net force (in N) on the object? __________ N (b) What is the direction of the force? (Enter your answer in degrees counterclockwise from the +x-axis.) ___________ ° counterclockwise from the +x-axisA 1250 kg boat is traveling at 90 km/h when its engine is shut off. The magnitude of the frictional force fk between boat and water is proportional to the speed v of the boat. Thus, fk = 80v, where v is in meters per second and fk (the magnitude of the frictional force) is in newtons. Find the time required for the boat to slow down to 45 km/h.
- A block of mass 8.3 kg is initially at rest on a horizontal plane. The coefficients of kinetic and static friction between the plane and the block are respectivelyμc= 0.25 and μe= 0.36. Consider g = 10 m/s2 A horizontal force of magnitude F = 26.3 N is then applied to the block. In this situation, calculate the magnitude of the friction force (in N, to one decimal place).A 5 kg block is placed on an inclined plane of angle 30 degrees and pushed up the plane with a horizontal force of magnitude 30 N. In the above problem what is the magnitude of the force exerted by the block on the plane? O 27 N 42 N 50 N 57 NBob is pulling a box of his toys of mass 15.0 kg along a rough horizontal surface for a distance of 6.00 m. The tension force in the rope is 58.0 N and the angle is 30° with respect to the horizontal. The frictional force on the box is 18.0 N. Match the answers with questions. (Hint: Clearly draw the force vector and displacement vector for all cases.) What is the angle between the tension force vector and the displacement vector? A. 90° v What is the angle between the friction force vector and the displacement vector? B. none of the given v What is the angle between the normal force vector and the displacement vector? C. 60° D. 150° Е. 0° F. 210° G. 180° Н. 30°