An object is dropped from a 100 ft building. If the air resistance density (p=k/m) is 0.1, determine the velocity of the object 4 seconds after it falls. Use g= 32 ft/s².
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An object is dropped from a 100 ft building. If the air resistance density (p=k/m) is 0.1, determine the velocity of the object 4 seconds after it falls. Use g= 32 ft/s².

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- An airplane starts from 17.8 m/s and accelerates at 11 m/s2. What is its speed at the end of a 340 m runway?The maximum ('terminal') velocity, vt, that a falling object achieves depends on its mass m, the acceleration g due to gravity, the density p of the air, the object's frontal area A, and the object's drag coefficient C, which is a dimensionless quantity. The equation for the terminal velocity is: 2mg V = pCA Part (a): A skydiver jumps out of an airplane (regrettably) without his parachute. To slow his descent, he orients himself in a 'spread eagle' position, thereby increasing his area A to 0.70 m?. His drag coefficient Cis 1.0, which is a unitless quantity. Calculate his terminal velocity in m/s if his mass is 85 kg, the air density p is 1.21 kg/m3, and the constant g is 9.80 m/s?. Show your work, and ensure that each numeric value has the appropriate units. Your answer should be rounded to the appropriate number of significant digits. Part (b): Convert the answer from part (a) to miles per hour using the dimensional analysis method we reviewed in class. Show your work, and ensure…>V=0 d (m A block of mass m is on an inclined ramp. The ramp makes an angle with respect to the horizontal, as shown. The ramp has friction, with coefficient of kinetic friction and static friction μs. This experiment takes place on earth. The block has an initial speed of v up the ramp. It travels a distance d along the ramp before it stops. There are no numbers in this problem! Answer all questions in terms of the given variables (g, m, µk, µs, 8, v, d) only. Do not use any other variables. a) Draw a free body diagram clearly showing all the forces acting on the block while it is moving up the ramp. b) Calculate the work done by the Normal force as the block travels the distance d. Is it positive, negative, or zero? c) Calculate the work done by the Weight force as the block travels the distance d. Is it positive, negative, or zero? d) Calculate the work done by the Friction force as the block travels the distance d. Is it positive, negative, or zero? e) If the block comes to rest,…
- Please answer and solve the question correctly. Thank you!A 3kg ball is thrown straight into the air at 8m/s. How high does it travel? Use g=9.8m/s2A ball with mass 0.85 kg is thrown upward with initial velocity 30 m/s from the roof of a building 40 m high. Assume there is a force due to v² directed opposite to the velocity, air resistance of magnitude 1325 where the velocity v is measured in m/s. NOTE: Use g=9.8 m/s² as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: seconds c) Use a graphing utility to plot the graphs of velocity and position versus time.
- A ball with mass 0.3 kg is thrown upward with initial velocity 10 m/s from the roof of a building 50 m high. Assume there is a force due to directed opposite to the velocity, air resistance of magnitude 1325 where the velocity v is measured in m/s. NOTE: Use g-9.8 m/s as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: seconds c) Use a graphing utility to plot the graphs of velocity and position versus time.A ball with mass 0.75 kg is thrown upward with initial velocity 30 m/s from the roof of a building 10 m high. Assume there is a force due to |v| air resistance of magnitude directed opposite to the velocity, where 30 the velocity v is measured in m/s. NOTE: Use g=9.8 m/s² as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: secondsA ball with mass 0.1 kg is thrown upward with initial velocity 5 m/s from the roof of a building 60 m high. Assume there is a force due to |v| air resistance of magnitude directed opposite to the velocity, where 30 the velocity v is measured in m/s. NOTE: Use g=9.8 m/s² as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: seconds c) Use a graphing utility to plot the graphs of velocity and position versus time.