5. A 114 gram Frisbee is lodged on a tree branch 7.65 meters above the ground. To free it, you lob a 240 gram clod of muddy dirt vertically upward. The dirt leaves your hand at a point 1.23 m above the ground, moving at 17.7 m/s. It sticks to the Frisbee. What's the m₂ + m₂ maximum height reached by the Frisbee-dirt combination? Ar
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- I need help with d, e, f, and g as well.Determine the magnitude of Coriolis acceleration if N = 5 rad/sec. 120 mm T 120 mm Select one: O OO a. 1.08 m/s² b. 3.00 m/s c. 4.32 m/s² d. 0.48 m/s² D 45° B Nm L 4. A box with a mass m = 0.4 kg is released from rest at the top of a curved section of a track that is one quarter of a circle with a radius R = 0.2m. When the box reaches the bottom of the curved track it slides on a horizontal section of the track. There is no friction on the curved section of the track. a. Find the velocity of the box at the bottom of the curved section of the track. b. Find the normal force on the block when it is at the bottom of the circular section of the ramp. If there is a Resistive force F on the horizontal section of the track and is given as a function of speed by F=-4v² c. Write down the differential equation for the speed of the block. 1 d. Show that the solution can be written as: v = 0.5 + 10t
- 9: An archer fires an arrow straight up into the air with a speed v0=35.6m/s. Neglect air resistance. a. Find the maximum height, hℎ, in meters, reached by the arrow. b. In terms of known quantities, write an expression for the time the arrow is in the air until it returns to launch height.143. A satellite is launched from the surface of the earth at the initial speed of 8 km/s. How high will it go before it stops and starts falling back to the earth?
- 2. You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. you drop a ball from a height of 1.22 m above the floor. The ball hits the floor 0.349 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)? 20.0 m/s^2 10.0 m/s^2 15.0 m/s^2 30.0 m/s^2A record is played by spinning the record so that a circular groove in the vinyl slides under the stylus. Suppose that a record turns at a rate of 33 1/3 rev. min, the groove being played is at a radius of 10.0 cm and the bumps in the grove are uniformly separated by 1.75 mm. At what rate (hits per second) do the bumps hit the stylus? Enter units as hertz (Hz). You will need v=rω ω is in rad/s and 1rev = 2 pi rad.2. Suppose we now have a little ball bouncing vertically and lightly on the trampoline. The ball's mass is 0.5kg. Air resistance is unchanged. At time t = 0, the ball again starts at height 0.6 m above the ground and the velocity of the ball is 0. Draw a graph of h(t) in this case and briefly explain your reasoning. Hint: you do not need to solve for y(t).
- An airplane flies at a constant altitude of 1200 m and a constant speed of 80 m/s when a 7.0 kg bowling ball falls out of the cargo hold. What is the speed of the bowling ball as it hits the ground? Ignore air resistance. O 173 m/s O 187 m/s O 153 m/s O 208 m/s O 140 m/s 吕0 F7 F8 F6 F4 F5 F3 F1 F2 & @ # $ % 4 5 7 %241. A rock is thrown off a cliff at an angle of 51 with respect to the horizontal. The cliff is 126 m high. The initial speed of the rock is 24 m/s. (a) Fill in the following: Vo Vox Voy || || ✓ m S ES = ES m (b) VX (c) V (d) In your notebook, draw a sketch of the problem. Select the direction along the along the vertical axis (y-axis) that is positive (upwards or downwards). Select the direction along the along the horizontal axis (x-axis) that is positive (left or right). Select an origin. Draw the vectors for Vo, Vox Voy" V, Vx, Vy, ax, a¸. Label on your diagram the initial and final positions of the rock x, y, and xƒ‚ Yf. (e) How high above the edge of the cliff does the rock rise? Ay= m 00 (f) How far has it moved horizontally when it is at maximum altitude? Δx= m (g) How long after the release does it hit the ground? ground= (h) What is the range of the rock? Ax total ✔m S (i) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 4 s.…