In a common but dangerous prank, a chair is pulled away as a person is moving downward to sit on it, causing the victim to land hard on the floor. Suppose the victim falls by 0.30 m, the mass that moves downward is 68.0 kg, and the collision on the floor lasts 0.0760 s. What are the magnitudes of the (a) impulse and (b) average force acting on the victim from the floor during the collision?
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
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- During a neighborhood baseball game in a vacant lot, a particularly wild hit sends a 0.149 kg baseball crashing through the pane of a second-floor window in a nearby building. The ball strikes the glass at 14.1 m/s, shatters the glass as it passes through, and leaves the window at 11.3 m/s with no change of direction. Calculate the magnitude of this impulse (a positive number). The ball is in contact with the glass for 0.0104 s as it passes through. Find the magnitude of the average force of the glass on the ball (a positive number).A professional golfer is examining a video of a practice swing. The high-speed footage shows that his club is in contact with the ball (which was initially at rest on the tee) for only Ar=0.571 ms, and the radar gun clocks the speed of the ball as = 176 mph after it comes off the club. The golf ball has a mass of my = 45.9 g. What is the magnitude of the impulse imparted to the ball by the club? magnitude of the impulse: What is the magnitude of the average force of contact between the club and the ball? magnitude of the average force of contact: kg m NIn the overhead view of the figure, a 460 g ball with a speed v of 4.5 m/s strikes a wall at an angle 0 of 20° and then rebounds with the same speed and angle. It is in contact with the wall for 14 ms. In unit-vector notation, what are (a) the impulse on the ball from the wall and (b) the average force on the wall from the ball? (a) Number i (b) Number i+ т i+ i i ·X 0 j Units j Units >
- A 1360 - kg car moving at 6.40 m/s is initially traveling north along the positive direction of a y axis. After completing a 90° right-hand turn to the positive x direction in 4.00 s, the inattentive operator drives into a tree, which stops the car in 490 ms. (picture has the question)In a dance jump, the dancer lifts their center of mass 40 cm. When they land, they bend their knees as they slow to a stop and their center of mass lowers by 7.0 cm in 50 ms. The dancer’s mass is 60 kg. (a) What is the impulse on their body as they land? (b) What is the average force on the dancer’s body? {3360 N}A baseball player pitches a fastball toward home plate at a speed of 41.0 m/s. The batter swings, connects with the ball of mass 335 g, and hits it so that the ball leaves the bat with a speed of 37.0 m/s. Assume that the ball is moving horizontally just before and just after the collision with the bat. (a) What is the impulse delivered to the ball by the bat? Enter a positive value if the impulse is in the direction the bat pushes the ball and enter a negative value if the impulse is in the opposite direction the bat pushes the ball. ____kg·m/s (b) If the bat and ball are in contact for 3.00 ms, what is the magnitude of the average force exerted on the ball by the bat? ____kN
- A pitcher throws a 0.200 kg ball so that its speed is 11.0 m/s and angle is 35.0° below the horizontal when a player bats the ball directly toward the pitcher with velocity 42.0 m/s at 30.0° above the horizontal. Assume +î to be along the line from the batter to the pitcher and +ĵ to be the upward vertical direction. (Express your answers in vector form.) (a) Determine the impulse (in N s) delivered to the ball. I = (b) If the force on the ball increases linearly for 4.00 ms, holds constant for 20.0 ms, and then decreases linearly to zero in another 4.00 ms, what is the maximum force (in N) on the ball? max N.S = NA cruise ship with a mass of 1.43 ✕ 107 kg strikes a pier at a speed of 0.672 m/s. It comes to rest 5.94 m later, damaging the ship, the pier, and the tugboat captain's finances. Calculate the average force (in N) exerted on the pier using the concept of impulse. (Hint: First calculate the time it took to bring the ship to rest. Assume the ship moves in the positive direction. Indicate the direction with the sign of your answer.)A sliotar of mass 115 g moves horizontally with an initial velocity of 38.0 m/s as it approaches a hurley. The hurley applies an average force to the sliotar so that it departs from the hurley travelling at 58.0 m/s in the opposite direction. The duration of the impact between the sliotar and hurley is 12.1 ms. Find (a) the impulse imparted to the sliotar by the hurley, and (b) the average force exerted on the sliotar by the hurley.
- The magnitude of the net force exerted in the x direction on a 3.40-kg particle varies in time as shown in the figure below. F (N) 4 3 1 t(s) 4 5 1 3 (a) Find the impulse of the force over the 5.00-s time interval. × N·s (b) Find the final velocity the particle attains if it is originally at rest. m/s %3D if = (c) Find its final velocity if its original velocity is -2.60 î m/s. m/s %3D if = (d) Find the average force exerted on the particle for the time interval between 0 and 5.00 s. Favg =A particle with a mass of 1.50 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. Fx (N) 8 6 4 2 1 2 (a) impulse of the force (in kg. m/s) kg. m/s 3 4 5 t (s) (b) final velocity of the particle (in m/s) if it is initially at est 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 -3.00 m/s. m/sA particle with a mass of 2.45 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. Fx (N) 8 6 4 t (s) 1 3 4 (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 -1.60 m/s. m/s