The soccer ball shown weighs 1 lb and has a velocity of 20 fps at 40° to the horizontal prior to striking the soccer player's head. After the soccer player heads the ball, it has a velocity of 30 fps at 20° to the horizontal. If the duration of the impact is 0.15 sec, determine a. Express the initial and final velocities of the ball in Cartesian vector form b. Magnitude and direction of the average force exerted on the soccer ball by the player's head in Cartesian vector form.
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- A block of mass m1 = 16.4 kg is on a frictionless table to the left of a second block of mass m2 = 17.7 kg, attached by a horizontal string (see the figure below). HINT Two masses, m1 and m2, are placed on a horizontal surface such that they do not touch and m1 is to the left of m2. The left and right ends of a string are, respectively, attached to m1 and m2. A horizontal rightward arrow labeled vector F extends from m2. (a) If a horizontal force of 1.33 ✕ 102 N is exerted on the block m2 in the positive x-direction, use the system approach to find the acceleration (in m/s2) of the two blocks. m/s2 (b) What is the tension (in N) in the string connecting the blocks? NTwo forces, F1 and F2, act at a point. F1 has a magnitude of 8.60 N and is directed at an angle of 55.0∘ above the negative x-axis in the second quadrant. F2 has a magnitude of 5.60 N and is directed at an angle of 52.1∘ below the negative x-axis in the third quadrant. a. what are the x and y components of the resultant force? b. What is the magnitude of the resultant force?Problem #1 In a game of pool, ball A is moving with a velocity vo when it strikes balls B and C which are at rest and aligned as shown. Knowing that after the collision the three balls move in the directions indicated, and that vo = 10 ft/s and ve = 5.29 ft/s, determine the magnitude of the velocities va and VB. 4.3° 30° B 45° VB 37.4°
- Two identical objects with the same initial speed collide and stick together. If the composite object moves with half the initial speed of either object, what was the angle between the initial velocities? 20° O 30° 450 60° 120°Rafael drops a hard rubber ball, of mass m = 185 g, onto the pavement. He drops it from a height h1 = 2.7 m, and it bounces back to a height h2 = 1.55 m. While the ball is in contact with the ground, the ground exerts a non-constant force on the ball as shown in the figure. During the time interval Δt1 the force rises linearly to Fmax, and during the time interval Δt2 the force returns linearly to zero as the ball leaves the ground. Refer to the figure. For the time intervals Δt1 = 2.5 ms and Δt2 = 5.5 ms, what is the magnitude of the maximum force between the ground and the ball, in newtons?An industrious chipmunk creates an acorn catapult. This acorn catapult fires a 0.00543 kg acorn at an initial speed of 21.8 m/s. The catapult can be moved to any horizontal distance from the target and it can be set to shoot the acorn at any angle between 14° and 86.6°. The chipmunk will adjust the distance and angle until he gets a shot just right, and he deems a shot to be successful when the target is hit at the moment the acorn reaches its apex d) If the acorn hits the target and bounces back, losing 24.2% of its speed in the collision, what is the magnitude of the change in the acorn's momentum from immediately before the collision to immediately after the collision? e) If the duration of the collision described in part D is 3.01 x 10^-5 s, what is the magnitude of the average force the acorn imparts onto the target?
- デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT An empty 15,000-kg cargo truck travels down a flat track at 5.00 m/s. Suddenly, 5,000 kg of coal are dropped into the truck, directly from the amoeba. Initially, the velocity of the coal in the horizontal direction is zero with respect to the ground. Find the final speed of the truck. Ans. 3.75 m/s.A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels from the ground after t seconds is given by s(t) = -16 t² + 560 t. Apply calculus to find the velocity of the rocket 3 seconds after being fired. Two objects move on a horizontal frictionless surface along the same line in the same direction which we shall refer to as the forward direction. The trailing object of mass has a velocity of forward. The leading object of mass has a velocity of forward. The trailing object catches up with the leading object and the two objects experience a completely inelastic collision. By using the rule of conservation of Momentum, calculate is the final velocity of each of the two objects?A bullet is accelerated down the barrel of a gun by hot gases produced in the combustion of gun powder. What is the average force (in N) exerted on a 0.0500 kg bullet to accelerate it to a speed of 500 m/s in a time of 1.90 ms (milliseconds)? (Enter the magnitude.) N
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