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- 1.a. A ball has an initial speed of 5 m/s, going to the right then hits a wall. After hitting the wall, the ball now goes to the left with a speed of 2 m/s. What is the magnitude of the force exerted by the wall to the ball if the time of contact between the two is 0.02 s? Hint: Be careful with the direction of the velocities. 1.b. A boxer punches a 60-kg bag, with the speed of fist at 8 m/s. After the punch, the bag flies away and the hand comes to a complete stop. What is the rebound velocity and kinetic energy of the bag? Assume that the moving part of the hand weighs 5 kg.A paratrooper weighing 180 pounds (including equipment) falls vertically downward from an altitude of 5000 feet and open the parachute after 10 seconds of freefall. Assume that the resistance force of the air is 0.75v when the parachute is closed and 12v when the parachute is open, where the velocity v it is measured in feet / sec. to. a. Find the speed of the skydiver when open the parachute b. find the distance of fall before it opens the parachute. c. What is the limiting velocity vL after it is open the parachute? d. Determine how long the skydiver is in the air after the parachute opens. and. Plot the graph of velocity versus time from the beginning of the fall until the skydiver arrives downA cart of mass 8.0kg was moved by applying two constant forces. Force 1 is 28.0N at 42.0 degrees, and Force 2 is 13.0N at 110 degrees. Initially, the cart has a velocity of (3.50i + 2.20j)m/s. a. Express the two forces in unit-vector notation.b. Find the total force exerted on the cart.c. Find the angle at which the total force is applied.d. What is the acceleration of the cart?e. What is the cart's velocity after 5.0s?f. What is the position of the cart after 5.0s?g. What is the angle of the position after 5.0s?h. What is the total work done by the two applied forces?
- A 1.9-kg block slides down a frictionless ramp. The top of the ramp is h1= 1.9 m above the ground; the bottom of the ramp is h2 = 0.50m above the ground. The block leaves the ramp moving horizontally, and lands a horizontal distance d awayWhat is the Distance (d)?9. a. An arrow is fired from a bow with a velocity of 69.2 m/s. The arrow has a mass of 0.082 kg. The arrow travels 0.855 m as it's being released/ while the force of the taunt string acts on it. What is the change in KE, AKE, of the arrow? 196.33 Previous submissions: b. What was the force of the bow string? 229.63 Previous submissions: J N V incorrect V incorrectThe surface of a pool table is h=0.710 m from the floor. The winner of a competition wants to know if he has broken the world speed record for the break shot of 32 mph (about 14.3 m/s). A. If the winner’s ball landed d=4.95 m from the table’s edge, calculate the speed of his break shot v0. Assume friction is negligible. B. At what speed v1 did his pool ball hit the ground? Image is attached below. Please show all work.
- a. A projectile of mass M is ejected from a launcher making an angle ø with the vertical. Suppose the projectile is propelled by a time dependent force F(t) Kee for a short period of To (Kand c are known constants). What is the velocity and the position of the projectile at To? b. Assuming air resistance is negligible, what is the final position r(x,y) of the projectile at its maximum height? Note that the projectile will be in a free-fall mode after To Ft) Fg3A student pushes a 12-kg block on a frictionless, horizontal surface. If the block is initially at rest, what is the speed of the block after the student pushes the block for 5 seconds with an acceleration of 2.0 m/s/s? O 2.0 m/s 6.0 m/s 10 m/s 60 m/sYou are in charge of improving the safety of a carnival ride. The ride involves a 165 kg cart travelling at 13.1 the wall. m S toward a brick wall. The cart is supposed to stop at the last second just before it hits You want the cart to come to a complete stop within a time of 1.85 s. What force is required to stop the cart in this amount of time? F = N Based on the parts you have been provided, you are able to exert a force of 3820 N on the cart. What is the maximum initial speed that the cart could have and still stop within 1.85? Vmaximum = m S
- You throw a ball up with the initial velocity 2.5 m/s. What is the velocity of that ball when it reaches the half of the maximum height? The mass of the ball is 0.340 kg.A student launches a small rocket which starts from rest at ground level. At a height of h = 1.8 km the rocket reaches a speed of vf = 342 m/s. At that height the rocket runs out of fuel, so there is no longer any thrust propelling it. Take the positive direction to be upward in this problem B: After the rocket's engine turns off at a height of h = 1.8 km, it continues to move upward due to the velocity that it reached. What is the rocket's acceleration, in meters per second squared, during the period from engine shutoff until it returns to the ground? Ignore air resistance. C: Calculate the maximum height, in meters above ground level, that the rocket reaches.It is possible to shoot an arrow at a speed as high as 100 m/s. (a) If friction can be ignored, how high would an arrow launched at this speed rise if shot straight up? (b) How long would the arrow be in the air?