A 4.0 kg toy car can move along an x axis. The figure gives Fx of the force acting on the car, which begins at rest at time t = 0. The scale at t = 3.0 s? on the Fx axis is set by Fxs = 5.0 N. In unit-vector notation, what is P at (a)t = 3.0 s and (b)t = 6.0 s,(c) what is Fx (N) F A 6 8 -F -t (s)
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- In the figure, a crate of mass m = 77 kg is pushed at a constant speed up a frictionless ramp (0 = 25°) by a horizontal force. 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 (b) Number i Units Units ‒‒‒‒‒A 2 kg golf ball moves along an x axis according to x(t) = 1013 – 2.80t² + 7.4t + 15, with x in meters and t in seconds. In unit-vector notation, what is the net force acting on the particle at t=5.20 s?A block of mass m = 0.5 kg is kicked so that it slides up a ramp inclined at an angle θ = 30°. At the bottom of the ramp, the block has speed v0 = 4.0 m/s. There is a coefficient of kinetic friction between the block and ramp µk = 0.18. (a) How far up the ramp does the block slide? (b) Assume that the block comes to rest and does not slide back down the ramp. What must be the minimum coefficient of static friction between the block and ramp?
- A bowling ball weighing 60.0 N initially moves at a speed of 4.20 m/s. How long must a force of 47.5 N be applied to the ball to stop it?Elena dimabato of Anolia, the princess who always cried, has an ugly block with a mass M = 8 kg that slides to the right across a rough horizontal surface with a speed of 4 m/s. There is a light rope which tugs on the block with a force T= 8 N. This is oriented above the horizon which is α = 28°. Moreover, the coefficient of kinetic friction between the surface and the ugly block is 0.312. what is the strength of tension needed for the block to stop moving at 1 meter from its initial position?The force acting on a particle is F - (10x – 17) N, where x is in meters. (a) Make a plot of this force versus x from x = 0 to x = 3.00 m. F (N) F (N) 20 50 40 10- 30 0,5 20 1.0 20 25 x (m) 30 -10 10 atx (m) 3.0 0.5 1.0 1.5 2.0 2.5 F (N) F (N) 0,5 1.0 1,5 2.0 2.5 x (m) 30 10 -10 -20 0,5 15 x (m) 30 10 2.5 -30 -10 -40 -50 -20 (b) From your graph, find the net work done by this force on the particle as it moves from x = 0 to x= 2.55 m. (Include the correct sign.)
- 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 UnitsTwo constant forces act on an object of mass m = 4.30 kg object moving in the xy plane as shown in the figure below. Force F, is 26.5 N at 35.0°, and force F, is 48.0 N at 150°. At time t = 0, the object is at the origin and has velocity (3.50î + 2.15j) m/s. 150° 35.0° (a) Express the two forces in unit-vector notation. F, - N (b) Find the total force exerted on the object. N (c) Find the object's acceleration. m/s2 Now, consider the instant t = 3.00 s. (d) Find the object's velocity. m/s (e) Find its position. (f) Find its kinetic energy from V½mv2. kJ (g) Find its kinetic energy from 2mv,2 + EF · AF. kJA constant horizontal force pushes a 7.50 kg FedEx package across a frictionless floor on which an xy coordinate system has been drawn. The figure gives the package's x and y velocity components versus time t. What are the (a) magnitude and (b) direction of F? Give the direction as a positive or negative angle of magnitude less than 180° relative to the +x-axis. Vy (m/s) v (m/s) x 10 5 (a) Number (b) Number 1 a 2 Units Units t (s) 3 0 -5 -10 IL 0 ◄► 3 t(s)
- 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 > ---A bead with mass 1.80 × 10-2 kg is moving along a wire in the positive direction of an x axis. Beginning at time t = 0, when the bead passes through x = 0 with speed 12.0 m/s, a constant force acts on the bead. The figure indicates the bead's position at times t0 = 0.00 s, t1 = 1.00 s, t2 = 2.00 s, and t3 = 3.00 s. The bead momentarily stops at t = 3.00 s. What is the kinetic energy of the bead at t = 10.0 s?