Explanation Given: Compression of the spring = 20 cm The weight of metal ball = 20 g The launching angle = 30º The horizontal distance traveled = 5.0 m The vertical distance traveled = 1.5 m The given data can be visualized as below: Formula used: Projectile motion equations. Vertical distance, y = v y 0 × t − 1 2 g t 2 Horizontal distance , x = v x × t . Horizontal velocity , v x = v x 0 Vertical velocity , v y = v y 0 − g t Where; v y o = initial velocity along the y -axis t = time take. v x = velocity along the x -axis. v x 0 = initial velocity along the x -axis. The conservation of energy equation: K + U s + U g , is conserved. Calculation: This is a two-part problem. In the first part, we use projectile equations to find the ball’s velocity v 2 as it leaves the spring. This will yield the ball’s kinetic energy as it leaves the spring. Vertical distance, y = v y 0 × t − 1 2 g t 2 1 .5 m = v 2 sin 30° × t − 1 2 ×9 .80m/s 2 × t 2 → ( 1 ) Horizontal distance , x = v x × t . 5.0 m = v 2 cos 30° × t ⇒ t = 5.0 m v 2 cos 30° → (2) Substiute (2) in (1) ⇒ 1 .5 m = v 2 sin 30° × 5.0 m v 2 cos 30° − 1 2 ×9 .80m/s 2 × ( 5.0 m v 2 cos 30° ) 2 1.5 m = tan 30° × 5.0 m − 25.0 m 2 × 9.80 m/s 2 2 × ( v 2 cos 30°) 2 = 0.577 × 5.0 m − 245m 3 /s 2 2×(v 2 ) 2 ×0 .75 1.5 m=2 .885 m − 163 .3 m 3 /s 2 ( v 2 ) 2 ⇒ 163 .33 m 3 /s 2 ( v 2 ) 2 = 1.5 m+2 .855 m ( v 2 ) 2 = 163 .33 m 3 /s 2 1 .5 m+2 .855 m = 163 .33 m 3 /s 2 4 .355 m ( v 2 ) 2 = 37

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

4th Edition

ISBN: 9780134110684

Author: Randall D. Knight (Professor Emeritus)

Publisher: PEARSON

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Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.

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Chapter 10, Problem 70EAP

To determine

The spring constant.

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Chapter 10 Solutions

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

Ch. 10 - Prob. 1CQ Ch. 10 - Can kinetic energy ever be negative? Can...Ch. 10 - Prob. 3CQ Ch. 10 - 4. The three balls in FIGURE Q1O.4, which have...Ch. 10 - Rank in order, from most to least, the elastic...Ch. 10 - 6. A spring is compressed 1.0 cm. How far must you...Ch. 10 - Prob. 7CQ Ch. 10 - A particle with the potential energy shown in...Ch. 10 - A compressed spring launches a block up an...Ch. 10 - 10. A process occurs in which a system’s potential...

Ch. 10 - A process occurs in which a system’s potential...Ch. 10 - FIGURE Q10.12 is the energy bar chart for a...Ch. 10 - Prob. 13CQ Ch. 10 - Object A is stationary while objects B and C are...Ch. 10 - Prob. 2EAP Ch. 10 - 3. The lowest point in Death Valley is 85 m below...Ch. 10 - Prob. 4EAP Ch. 10 - Prob. 5EAP Ch. 10 - 6. What height does a frictionless playground...Ch. 10 - 7. A 55 kg skateboarder wants to just make it to...Ch. 10 - Prob. 8EAP Ch. 10 - A pendulum is made by tying a 500 g ball to a...Ch. 10 - A 20 kg child is on a swing that hangs from...Ch. 10 - A 1500 kg car traveling at 10 m/s suddenly runs...Ch. 10 - Prob. 12EAP Ch. 10 - A cannon tilted up at a 30° angle fires a cannon...Ch. 10 - In a hydroelectric dam, water falls 25 m and then...Ch. 10 - How far must you stretch a spring with k = 000 N/m...Ch. 10 - A stretched spring stores 2.0 J of energy. How...Ch. 10 - A student places her 500 g physics book on a...Ch. 10 - A block sliding along a horizontal frictionless...Ch. 10 - A 10 kg runaway grocery cart runs into a spring...Ch. 10 - As a 15,000 kg jet plane lands on an aircraft...Ch. 10 - The elastic energy stored in your tendons can...Ch. 10 - The spring in FIGURE EX10.22a is compressed by ?x....Ch. 10 - The spring in FIGURE EXIO.23a is compressed by ?x....Ch. 10 - FIGURE EX10.24 is the potential-energy diagram for...Ch. 10 - Prob. 25EAP Ch. 10 - In FIGURE EX10.26, what is the maximum speed of a...Ch. 10 - Prob. 27EAP Ch. 10 - FIGURE EX10.28 shows the potential energy of a 500...Ch. 10 - In FIGURE EX10.28, what is the maximum speed a 200...Ch. 10 - A system in which only one particle can move has...Ch. 10 - A system in which only one particle can move has...Ch. 10 - A particle moving along the y-axis is in a system...Ch. 10 - A particle moving along the x-axis is in a system...Ch. 10 - FIGURE EX10.34 shows the potential energy of a...Ch. 10 - A particle moves from A to D in FIGURE EX10.35...Ch. 10 - A force does work on a 50 g particle as the...Ch. 10 - A system loses 400 J of potential energy. In the...Ch. 10 - What is the final kinetic energy of the system for...Ch. 10 - How much work is done by the environment in the...Ch. 10 - A cable with 20.0 N tension pulls straight up on a...Ch. 10 - A very slippery ice cube slides in a vertical...Ch. 10 - A 50 g ice cube can slide up and down a...Ch. 10 - You have been hired to design a spring-launched...Ch. 10 - It’s been a great day of new, frictionless snow....Ch. 10 - Prob. 45EAP Ch. 10 - A 1000 kg safe is 2.0 m above a heavy-duty spring...Ch. 10 - You have a ball of unknown mass, a spring with...Ch. 10 - Sam, whose mass is 75 kg, straps on his skis and...Ch. 10 - A horizontal spring with spring constant 100 N/m...Ch. 10 - Truck brakes can fail if they get too hot. In some...Ch. 10 - Prob. 51EAP Ch. 10 - Use work and energy to find an expression for the...Ch. 10 - Prob. 53EAP Ch. 10 - The spring shown in FIGURE 10.54 is compressed 50...Ch. 10 - Prob. 55EAP Ch. 10 - Prob. 56EAP Ch. 10 - A system has potential energy U(x) = x + sin ((2...Ch. 10 - Prob. 58EAP Ch. 10 - Prob. 59EAP Ch. 10 - Prob. 60EAP Ch. 10 - The potential energy for a particle that can move...Ch. 10 - A particle that can move along the x-axis...Ch. 10 - An object moving in the xy-plane is subjected to...Ch. 10 - An object moving in the xy-plane is subjected to...Ch. 10 - Prob. 65EAP Ch. 10 - In Problems 66 through 68 you are given the...Ch. 10 - Prob. 67EAP Ch. 10 - Prob. 68EAP Ch. 10 - A pendulum is formed from a small ball of mass m...Ch. 10 - Prob. 70EAP Ch. 10 - Prob. 71EAP Ch. 10 - Prob. 72EAP Ch. 10 - The spring in FIGURE CP10.73 has a spring constant...Ch. 10 - A sled starts from rest at the top of the...

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