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- . A 3.0kg cannon ball is shot from a cannon at a speed of 20m/s. The cannon is oriented50 degrees above the horizontal and the cannon’s barrel is 8.0m above the ground. Youwant to position a mat that will catch the cannon ball.a. Determine how much time the cannon ball will spend in flight.b. Draw a force diagram for three points during the cannon ball’s flight (1) while itis being shot from the cannon, (2) when it is at its maximum height, and (3) whenit is half-way between the maximum height and the mat.c. Determine the horizontal distance from the end of the barrel where you shouldplace the mat so that it will catch the ball.d. How fast is the cannon ball moving just before it hits the mat?.2. A mass of 2.50 kg is at rest at time = 0. Do not consider friction in this problem. Two vector forces are applied to the mass. What is the resulting vector acceleration? F1 = 2.40 i + 1.50 j Newtons. F2 = 5.00 Newtons at an angle of 25.0°with the positive X axis.
- Falcons are excellent fliers that can reach very high speeds by diving nearly straight down. To pull out of such a dive, a falcon extends its wings and flies through a circular arc that redirects its motion. The forces on the falcon that control its motion are its weight and an upward lift force—like an airplane—due to the air flowing over its wings. At the bottom of the arc, as shown, a falcon can easily achieve an acceleration of 15 m/s2. Suppose the falcon weighs 8.0 N and is turning with an acceleration of 15 m/s2 at the lowest point of the arc. What is the magnitude of the upward lift force at this instant?A. 8.0 N B. 12 NC. 16 N D. 20 NWould the answer be "tangent to the curve in the forward direction?" thank you!1. You are tasked with designing the runway on an aircraft carrier. The minimum speed for the F/A18 Hornet is 200 mph. The Hornet weighs 40,000 lbf and its twin engines provide a thrust of ~40,000 lbf combined, providing a max acceleration of 1g.a. How long must the deck be to takeoff unassisted? Give the answer in ft. b. This is most likely longer than your typical ~450 ft carrier. What acceleration must you achieve with both the engines and with a catapult system together to reach the required minimum speed by the end of the deck? c. What net force (combined engines and catapult) must be applied to the plane to get the acceleration in b? d. Do you think the plane will be able to use disk brakes on its tires to stop when landing?Use your knowledge of friction to make your argument. Also know that their coefficient of friction is ~1.
- Gloria kicks a soccer ball so that it has an initial velocity15.8... Gloria kicks a soccer ball so that it has an initial velocity 15.8 meters per second at an angle of 28.0 degrees above the ground. What is the vertical component of the initial velocity? Choose one answer. -7.42 m/s 7.42 m/s -14.0 m/s 14.0 m/sA crate of mass m = 2.00 kg is released from rest at the top of an inclined plane as seen in the figure. The crate starts out at height = 0.100 m above the top of the table, the table height is H = 2.00 m, and 0 = 41.0⁰. H ↑ h i (a) What is the acceleration (in m/s2) of the crate while it slides down the incline? m/s² m (b) What is the speed (in m/s) of the crate when it leaves the incline? m/s (c) At what horizontal distance (in m) from the end of the table will the crate hit the ground? m O No (d) How long (in s) from when the crate is released does it hit the ground? S (e) Does the crate's mass affect any of your above answers? YesWhich kid will reach the bottom first if they both leave the slide at the same instant?
- A bag leaves a chute with a horizontal speed of 12 m / s. If the chute outlet is 6 m high, determine the time required for the bag to reach the floor and reach R where the bags are stacked. Consider g = 9.81 m / s². Choose one:The. t = 1.1 s and R = 13.3 mB. t = 2 s and R = 24 mç. t = 3 s and R = 36 md. t = 0.5 s and R = 6 me. t = 1.5 s and R = 18 m11.Determine the acceleration a. The masses are: m, = 1 kg, m2 = 2 kg, m3 = 4 kg %3D The coefficient of kinetic friction between mass 1 and the incline is M1 = 0.4 The coefficient of kinetic friction between mass 2 and the flat section is Hz = 0.3 a T1 T2 a Tj m2 T2 m1 H2 a m. H1 30°A car travels west at 30 miles an hour for 10 min West. The car then makes a u turn and travels east 45 miles per hour for fifteen min east. What is the cars total displacement? A- 10km W B-10 km E C- 26 km E D - 26 km W E- 6.2 km W