4. The magnitude of the net force exerted in the x direction on a 4.00-kg particle varies in time as shown in the figure below. F (N) A 20 15 10 5 + 10 20 30 40 t (s) (a) Find the impulse of the force over the 40.0-s time interval. (b) Find the final velocity the particle attains if it is originally at rest. (c) Find the average force exerted on the particle for the time interval between 0 and 40.0 s.

The magnitude of the net force exerted in the x direction on a 3.30-kg particle varies in time as shown in the figure below. F (N) A 2 1 2 3 4 5 4 02 = (a) Find the impulse of the force over the 5.00-s time interval. Ỉ - avg N.S (b) Find the final velocity the particle attains if it is originally at rest. m/s t (s) (c) Find its final velocity if its original velocity is -2.60 î m/s. m/s (d) Find the average force exerted on the particle for the time interval between 0 and 5.00 s. F II N

A particle with a mass of 1.90 kg is acted on by a force Fx 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 )  kg · m/s (b) final velocity of the particle (in m/s) if it is initially at rest  m/s (c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of  −25.00 m/s.  m/s

Problem 2. A force acts on a 25.0 kg object with the magnitude as a function of time as shown in figure below. (a) Determine the impulse imparted by the force on the object between 0 and 30 seconds. (b) Determine the final velocity of the object if it had an initial velocity of 20.0 m/s in the negative direction. (c) Find the average force between t = 0 and 30 seconds. F,(N) 1000- t (s) 30 0- 10 20

15 kg horizontally toward the right with a speed of v 4.7 m/s as in the figure below. Neglecting A 79-kg fisherman in a 135-kg boat throws a package of mass m = water resistance, and assuming the boat is at rest before the package is thrown, find the velocity of the boat after the package is thrown m/s magnitude direction --Select--- m

An estimated force-time curve for a baseball struck by a bat is shown in the figure below. Let Fmax = 19,000 N, t₂ = 0.5 ms, and t = 3 ms. From this curve, determine the following. F (N) Fmax IA. t (ms) ta 0 (a) the magnitude of the impulse delivered to the ball N s (b) the average force exerted on the ball kN

An estimated force vs. time curve for a baseball struck by a bat is shown in the figure below. Fmax :18 000 N F (N) 20 000 %3D 15 000 10 000 5 000 t (ms) 2 1 (a) From this curve, determine the impulse delivered to the ball. 13500 Your response is off by a multiple of ten. N • s (b) From this curve, determine the average force exerted on the ball. 9000 Your response is off by a multiple of ten. kN

An estimated force-time curve for a baseball struck by a bat is shown in the figure below. Let Fmax = 19 000 N, ta = 1.5 ms, and to = 2 ms. F(N) Fmax 1₂ to From this curve, determine each of the following. 0 (ms) (a) the magnitude of the impulse delivered to the ball N.S (b) the average force exerted on the ball KN

max 20,000 N, t, = 1.5 ms, and t, = 3 ms. From this curve, determine the An estimated force-time curve for a baseball struck by a bat is shown in the figure below. Let F, following. Fmax F (N) t (ms) ta (a) the magnitude of the impulse delivered to the ball N.s (b) the average force exerted on the ball kN

A hockey player passes a puck that is initially at rest. The force exerted by the tick on the puck is 1098 N [forward) and the stick is in contact with the puck for 4.8 ms. a) Determine the impulse imparted by the stick to puck. b) If the puck has a mass of 0.14 kg, calculate the speed of the puck just after it leaves the hockey stick