Reference no: EM13899789

Question 1-  Two forces, F? 1 and F? 2, act at a point, as shown in the picture. F? 1 has a magnitude of 9.20 N and is directed at an angle of α = 60.0 ° above the negative x axis in the second quadrant. F? 2 has a magnitude of 6.40 N and is directed at an angle of β = 53.0° below the negative x-axis in the third quadrant.

Part A- What is the x component Fx of the resultant force?

Part B- What is the y component Fy of the resultant force?

Part C- What is the magnitude F of the resultant force?

Part D- What is the angle γ that the resultant force forms with the negative x axis? In this problem, assume that positive angles are measured clockwise from the negative x axis.

Question 2- Answer the following questions with reference to the eight forces defined as follows.

• the force of the 3kgblock on the 2kg block,F3on2,
• the force of the 2kgblock on the 3kg block,F2on3,
• the force of the 3kgblock on the 1kg block,F3on1,
• the force of the 1kgblock on the 3kg block,F1on3,
• the force of the 2kgblock on the 1kg block,F2on1,
• the force of the 1kgblock on the 2kg block,F1on2,
• the force of the 1kgblock on the floor,F1onfloor, and
• the force of the floor on the 1kgblock,Fflooron1.

Question 3- Driving home from school one day, you spot a ball rolling out into the street (see the figure). You brake for 1.00 s, slowing your 990-kg car from 16.0 m/s to 9.50 m/s.

Part A- What was the magnitude of the average force exerted on your car during braking?

Part B- What was the direction of the average force exerted on your car during braking?

Part C- What was the direction of the average force exerted on your car during braking?

Part D- How far did you travel while braking?

Question 4- A train is traveling up a 4.0 ° incline at a speed of 3.05 m/s when the last car breaks free and begins to coast without friction

Part A- How long does it take for the last car to come to rest momentarily?

Part B- How far did the last car travel before momentarily coming to rest?

Question 5- At the bow of a ship on a stormy sea, a crewman conducts an experiment by standing on a bathroom scale. In calm waters, the scale reads 185 lb . During the storm, the crewman finds a maximum reading of 220 lb and a minimum reading of 132 lb

Part A- Find the maximum upward acceleration experienced by the crewman.

Part B- Find the maximum downward acceleration experienced by the crewman.

Question 6- Your groceries are in a bag with paper handles. The handles will tear off if a force greater than 49.0 N is applied to them

Part A- What is the greatest mass of groceries that can be lifted safely with this bag, given that the bag is raised with constant speed?

Part B- What is the greatest mass of groceries that can be lifted safely with this bag, given that the bag is raised with an acceleration of 1.50 m/s²?

Question 7- Three forces of magnitudes F1=4.0N, F2=6.0N, and F3=8.0N are applied to a block of mass m=2.0kg, initially at rest, at angles shown on the diagram. In this problem, you will determine the resultant (net) force by combining the three individual force vectors. All angles should be measured counterclockwise from the positive x-axis (i.e., all angles are positive).

Part A- Calculate the magnitude of the resultant force F? r=F? 1+F? 2+F? 3 acting on the block.

Part B- What angle does F? r make with the positive x axis?

Part C- What is the magnitude of the block's acceleration vector, a? ?

Part D- What is the direction of a? ? In other words, what angle does this vector make with respect to the positive x axis?

Part E- How far (in meters) will the block move in 5.0 s? Recall that it starts from rest.

Question 8- The two tennis players shown in the figure walk to the net to congratulate one another

Part A Find the distance traveled and the displacement of player A.

Part B- Repeat for player B.

Question 9- A car in stop-and-go traffic starts at rest, moves forward 19 m in 8.0 s, then comes to rest again. The velocity-versus-time plot for this car is given in the figure 

Part A- What distance does the car cover in the first 4.0 seconds of its motion?

Part B- What distance does the car cover in the last 2.0 seconds of its motion?

Part C- What is the constant speed V that characterizes the middle portion of its motion?

Question 10- Ilya and Anya each can run at a speed of 8.00 mph and walk at a speed of 3.10 mph . They set off together on a route of length 5.00 miles. Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half.

Part A- How long does it take Anya to cover the distance of 5.00 miles?

Part B- Find Anya's average speed.

Part C- How long does it take Ilya to cover the distance?

Part D- Now find Ilya's average speed.

Question 11- The golfer in the figure sinks the ball in two putts, as shown.

Part A- What is the distance traveled by the ball?

Part B- What is the displacement of the ball?

Question 12- A finch rides on the back of a Galapagos tortoise, which walks at the stately pace of 0.060 m/s. After 1.5 minutes the finch tires of the tortoise's slow pace, and takes flight in the same direction for another 1.0 minutes at 12 m/s.

What was the average speed of the finch for this 2.5-minute interval?

Question 13- A rocket blasts off and moves straight upward from the launch pad with constant acceleration. After 2.8 s the rocket is at a height of 82 m.

Part A- What the magnitude of the rocket's acceleration?

Part B- What is the direction of the rocket's acceleration?

Part C- What is its speed at this time?