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A 2.0 m long wooden stick weighing 9.0 kg is hung from the ceiling. 50 cm above the lower end hits a ball with a mass of 20 g at a speed of 400 m/s. By what angle does the stick deviate from the vertical axis? (The solution is 21°)
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- 1 kg projectile is launched at 30 m/sec, 60 degrees from horizontal. Find speed after 2 sec.An archer shoots an 18.0-gram arrow at a 43.0-gram target on a wall 32.0 m high. If the arrow is shot at a velocity of v0 = 60.0 m/s, the speed of the arrow is 54.5 m/s when it reaches the target. If the arrow becomes embedded in the target and they both fly off the wall together, at what speed will they leave the wall? Should I use 60.0 m/s in the equation or 54.5 m/s: V’=(0.018)(60.0m/s)/ (0.061) -or- V’=(0.018)(54.5m/s)/ (0.061)In a baseball game, one of the players graps the ball and lessens the influence of the ball by moving his hand back. The ball touches the player's hand at a speed of 140.4 km/h in the horizontal direction. The ball is 152 gr. The player moves his hand back with an average speed of 8 m/s over 14 cm in the horizontal direction. In this way, the player has caused the ball to stop. Calculate the average impulsive force applied on the hand of the player.
- A baseball with mass of 0.16 kg is batted into the air. Its initial speed is 37.7 m/s, directed at an angle 30 degrees above the horizontal. After 0.10 seconds, what is the horizontal component of the ball's velocity (in m/s)?A 730 N student stands in the middle of a frozen pond having a radius 5.0 m. She is unable to get to the other side due to a lack of friction between her shoes and the ice. To overcome this difficulty, she throws her 2.6 kg physics textbook horizontally toward the north shore at a speed of 5.0 m/s. How long does it take her to reach the south shore?Two masses are connected by a string as shown in the figure below. Mass m1=3.7 kg rests on a frictionless inclined plane which makes an angle of 34 degrees with the horizontal, while m2=10.6 kg is held at a height of h above the floor. If m2 is released from rest and hits the ground with a speed of V=2.3 m/s, find the height m2 is released. h=? Please take g=9.80 m/s2.
- A pendulum consists of a 2 kg bob attached to a light string of length 6.0 m. The bob is struck horizontally so that it has an initial horizontal velocity of 3.0 m/s. What is the angle of the string with the vertical when the bob reaches its maximum height?You have a cylinder. You don't know what its internal structure looks like, but you plan to roll it down a ramp, as in this week's procedure. The ramp is 1 m long, and is elevated at an angle of 15°. The mass of the cylinder is 450 g and its diameter is 2.1 cm.If the velocity of the cylinder is 1.75 m/s at the bottom of the ramp, what is the value of k for this unusual cylinder (in Sl units)? Express your answer as a decimal (i.e. 1/4=0.25).A 76.0 kg rock is rolling horizontally at the top of a vertical cliff that is 20 m above the surface of a lake . The top of the vertical face of a dam is located 100 m from the foot of the cliff, with the top of the dam level with the surface of the water in the lake. A level plain is 25 m below the top of the dam. (a) What must be the minimum speed of the rock just as it leaves the cliff so that it will reach the plain without striking the dam? (b) How far from the foot of the dam does the rock hit the plain?
- A stationary ball of mass 0.4 kg is kicked so that the kicker's foot departs at 5 m/s in a direction 60° above the horizontal. The amount of ball being Thrust to the player's foot isA delivery person carries a stack of three boxes labeled 1, 2, and 3. Box 3 is on the bottom of the stack, and box 1 is on the top. The masses of boxes 1, 2, and 3 are mi = 1.5 kg, m2 = 2.5 kg, and m3 = 8.0 kg, respectively. The delivery person places the stack of boxes on an elevator floor, which then accelerates downward with a magnitude of a = 0.80 m/s². Assume that the positive direction is up. Calculate the contact force F1-2 that box 1 exerts on box 2 during the acceleration. F1-2 = N Calculate the contact force F3-2 that box 3 exerts on box 2 during the acceleration. F3-2 = NA 791 N man stands in the middle of a frozen pond of radius 9.0 m. He is unable to get to the other side because of a lack of friction between his shoes and the ice. To overcome this difficulty, he throws his 1.2 kg physics textbook horizontally toward the north shore at a speed of 9.0 m/s. How long does it take him to reach the south shore?