Francesco is in a harness suspended from the end of a spring. He is stationary and his feet are in contact with the ground. Francesco's mass is 67 kg. The extension of the spring is 0.40 m. The spring constant k = 590 Nm Giving your answer to 2 decimal places, calculate: a) The force of the spring on Francesco = N b) Francesco's weight = c) The reaction force of the ground on Francesco (by resolving forces) =
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- A spring with spring constant k=600 N/m is compressed by 10 cm and launches a ball vertically into the air. The mass of the ball is 2.0 kg. Determine how high the ball will be launched.A box is motionless, sitting on a ramp with an incline of 0 =54.4 ° being pulled in the direction up the ramp by a spring with a spring constant of k=150 N/m that is stretched x=6.4 m. The coefficient of friction between the ramp and the box are u s=0.53 and u k=0.15 and the friction force is going down the ramp. What is the mass of the box? Solve symbolically: Solve numerically: m= Units: If the box starts moving up a ramp with an acceleration of a=2.41 m/s, what is the new length that the spring will stretch? Solve symbolically: Solve numerically: Units:A mass of 0.12 kg is sliding on a frictionless horizontal surface when it comes to a horizontal spring with Hooke's constant k = 90 N/m. The mass is moving at 15 m/s. How far does the spring compress? What is the acceleration of the mass when the spring is fully compressed? How much time elapses between when the mass first encounters the spring, and when the spring reaches full compression? 1) Draw a pictorial representation of the problem. 2) List given information, and choose a coordinate system. What value of "x" will you assign to the equilibrium position of the spring? Is the spring at equilibrium before the mass hits it? 3) What equation or law will you use to solve for maximum compression distance? (There is more than on correct answer, as you may use Chapter 7 or Chapter 16 spring material.) 4) Set up and solve for maximum compression distance. 5) What equation or law will you use to solve for acceleration? (There is more than on correct answer, as you may use Chapter 7 or…
- 1. Consider the setup shown below: a block with mass m; sits on a table with friction coefficient u between the table and itself, attached on one side to a spring with stiffness k, and on the other side to a cord with negligible mass that wraps over a frictionless pully and supports a second block with mass m2 that's suspended in the air over the edge of the table. The friction between block 1 and the table is not enough to hold up block 2 so that, when it's released from rest, the spring stretches a distance Ax before the system comes to rest. a. Draw and label a free-body diagram for each block. (Use the gridlines to make sure that the relative lengths of your vector arrows are correct.) k m1 block 1: block 2: m2 b. What is the kinetic friction coefficient between block 1 and the table?A mass mm is suspended from a massless spring of natural length 90 cm with the spring constant k=10 Nm-1 and causes the spring to extend by 8.6 cm. Assuming the gravitational field strength g=9.8g, calculate the value of the mass on the spring.In a physics lab experiment, a spring clamped to the table shoots a 20 g ball horizontally. When the spring is compressed 20 cm, the ball travels horizontally 7.3 m and lands on the floor 1.5 m below the point at which it left the spring. What is the spring constant in N/m. (Don't forget to convert units.) Hint: This is a projectile motion problem. Use time to fall t = srt(2*y/g).