A force F with arrow is applied to a 1.9-kg radio-controlled model car parallel to the x-axis as it moves along a straight track. The x-component of the force varies with the x-coordinate of the car as shown below. The model car is initially at rest at x = 0. Use the work-energy theorem to find the speed of the car at the following locations. (a) x = 3.0 m m/s (b) x = 4.0 m m/s (c) x = 6.0 m m/s
A force F with arrow is applied to a 1.9-kg radio-controlled model car parallel to the...
Exercise 6.41 A force F is applied to a 2.0 kg, radio-controlled model car parallel to the z-axis as it moves along a straight track. The 2-component of the force varies with the -coordinate of the car as shown in the figure (Figure 1). Part A 0 to 3 = 3.0 m. Calculate the work done by the force F when the car moves from Express your answer with the appropriate units. C: Å * O ? W0-3.0 = Value...
A remote-controlled toy car of mass 3.0 kg starts from rest at the origin at t = 0 and moves in the positive direction of an x axis. The net force on the car as a function of time is given in the figure below. (a) What is the time rate of change of the momentum of the car at t = 4.0 s? kg·m/s2 (b) What is the momentum of the car at t = 2.0 s? kg·m/s
A child applies a force F parallel to the z-axis to a 6.00 kg sled moving on the frozen surface of a small pond. As the child controls the speed of the sled, the 2-component of the force she applies varies with the 2-coordinate of the sled as shown in figure (Figure 1). Suppose the sled is initially at rest at x = 0. You can ignore friction between the sled and the surface of the pond. For related problemsolving tips...
A girl operates a radio-controlled model car in a vacant parking lot. The girl’s position is at the origin of the xy coordinate axes, and the surface of the parking lot lies in the xy plane. She drives the car in a straight line so that the x coordinate is defined by the relation x(t) = 0.5t3 - 3t2 + 3t + 2 where x and t are expressed in meters and seconds, respectively. Determine when the velocity is 0...
Three forces F1 A child applies a force parallel to the x-axis to a 6 kg sled moving along the x-axis. The force he applies varies with the x-coordinate of the sled as shown in the figure. Suppose the sled is initially at rest at x-0 You can ignore friction between the sled and the surface F, (N) Sled 6 kg F 2.5 r (m) Find the work done by the force in moving the sled from x 0 to...
The only force acting on a 2.6 kg body as it moves along the positive x axis has an x component Fx = −7x N, where x is in meters. The velocity of the body at x = 3.0 m is 8.2m/s. The only force acting on a 2.6 kg body as it moves along the positive x axis has an x component Fx =-7x N, where x is in meters. The velocity of the body at x = 3.0 m...
The figure gives the acceleration of a 4.0 kg particle as an applied force moves it from rest along an x axis from x = 0 to x = 9.0 m. The scale of the figure's vertical axis is set by a_s = 10.0 m/s^2. How much work has the force done on the particle when the particle reaches (a) x = 4.0 m, (b) x = 7.0 m, and (c) x = 9.0 m? What is the particle's speed...
A particle with a mass of 3.00 kg is acted on by a force F, acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following.(a) Impulse of the force (in kg · m/s) (b) final velocity of the particle (in m/s) if it is initially at rest (c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of -2.00...
A child operating a radio-controlled model car on a dock accidentally steers it off the edge. The car's displacement 1.0 s after leaving the dock has a magnitude of 6.3 m. What is the car's speed at the instant it drives off the edge of the dock?
A radio-controlled model airplane has a momentum given by [(−0.75kg⋅m/s3)t2+(3.0kg⋅m/s)]i^+(0.25kg⋅m/s2)tj^, where t is in seconds. What is the x-component of the net force on the airplane? What is the y-component of the net force on the airplane? What is the z-component of the net force on the airplane?