Assignment 06 P115 2020 Solutions PDF

Preview

Summary

Download Assignment 06 P115 2020 Solutions PDF

Description

HYSICS 115 ASSIGNMENT 06 SOLUTIONS Due: 23 Oct 2020 at 1800 (6:00 PM, Sask Time)

1. An object of mass m moves to the right with a speed 𝑣. It collides head-on with an object of mass 3m moving with speed 𝑣/3 in the opposite direction. If the two objects stick together, what is the speed of the combined object, of mass 4m, after the collision? a) 0 b) 𝑣 /2 c) 2𝑣

1

2. A ball of mass m = 1.55 kg is released from rest at a height h = 78.0 cm above a light vertical spring of force constant k as in Figure [a] shown below. The ball strikes the top of the spring and compresses it a distance d = 7.90 cm as in Figure [b] shown below.

(a) Find the speed of the ball just as it touches the spring.

2

(b) Find the force constant of the spring.

3

3. A 82.0-kg fisherman in a 116-kg boat throws a package of mass m = 15.0 kg horizontally toward the right with a speed of vi = 4.40 m/s as in the figure below. Neglecting water resistance, and assuming the boat is at rest before the package is thrown, find the velocity of the boat after the package is thrown.

4

4. Two objects of masses m1 = 0.420 kg and m2 = 0.980 kg are placed on a horizontal frictionless surface and a compressed spring of force constant k = 275 N/m is placed between them as in figure (a). Neglect the mass of the spring. The spring is not attached to either object and is compressed a distance of 9.60 cm. If the objects are released from rest, find the final velocity of each object as shown in figure (b). (Let the positive direction be to the right. Indicate the direction with the sign of your answer.)

5

5. Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at 𝑣" oi = 3.80 m/s as in Figure (a) shown below. After the collision, the orange disk moves in a direction that makes an angle of θ = 40.0° with the horizontal axis while the green disk makes an angle of ϕ = 50.0° with this axis as in figure (b). Determine the speed of each disk after the collision.

6

7

6. A golf player swings a golf club, striking a golf ball that has a mass of 55.0 g. The club is in contact with the ball for only 0.00440 s. After the collision, the ball leaves the club at a speed of 46.0 m/s. What is the magnitude of the average force (in N) exerted on the ball by the club?

8

7. An object of mass m1 = 0.415 kg starts from rest at point A and slides down an incline surface that makes an angle θ = 32.0° with the horizontal as shown. The coefficient of kinetic friction between the object and the incline surface is 0.415. After sliding down a distance d = 61.00 m, it makes a perfectly inelastic collision with an object of mass m2 = 0.595 kg at point B. (a) Find the speed of m1 at point B just before the collision.

9

(b) Find the energy loss during the collision. Enter the magnitude.

(c) After the collision, the objects travel on a horizontal surface with a kinetic coefficient of 0.395. How long does it take until the objects come to rest at point C?

10

11...