Problem 4. Multiple Choice: (20 points) 2. 3. 1. A projectile is fired at an ang

Question

Problem 4. Multiple Choice: (20 points) 2. 3. 1. A projectile is fired at an angle of 60° from horizontal with a velocity of 100 m/s. Find the total time of travel for the projectile. 1. a) 102s b) 17.7s c) 20.4 d) 3.11 e)5.38 bo 2. A box is given an initial velocity of 20 m/'s slides along a rough horizontal surface. Using impulse-momentum, determine the time it takes for the 4 kg biock to come to rest. Assume v the friction coefficient between the block and the plane is -0.5 20 a) 40 s b) 4.07s 20.4s d)1.24s e) 3.2s 3. The minimum velocity required for a roller coaster to maintain contact with the track while traversing an upside down loop is a) Equal to the change in velocity with respect to time.i b) Equal to mg c) Equal to-mg d) Equal to the square root of gravity times the radius 5f curvature. e) Not enough information given to determine the normal force. 4. If a projectile is launched with a speed of 10 m's from the bottom of a ramp of height h angled 30, at what speed does the projectile hit the ground. a) At the same speed and the same angle b) At the same speed, but at a different angle c) At the speed at which it ieft the top of the ramp d) It never hits the ground. 10 m's is greater than he escape veiocity required to put the projectile into orbit. 5. Car A having a mass of 1000g is moving Im/s to the right while Car B having a mass of 500g is moving to the left at 0.5 mis. If the two cars couple upon impact what is their final combined veiocity? a) 0.75 m/s b) 0.5 m/s c -0.5 m/s d 0.8333 m/s e) 1.0 m/s

Explanation / Answer

Only one question can be posted as per chegg guidelines

1.

Initial Horizontal and Vertical components of velocities are

Vox = 100Cos60=50 m/s

Voy=100Sin60 =86.6 m/s

From

Y=Yo+Voyt -(1/2)gt2

When it hits the ground Y=0

=>0=0+86.6t-(1/2)*9.81*t2

t=17.7 s

2.

Here frictional force is balanced by Impulse force

-umg =m(V2-V1)/dt

=>-0.5*9.81 =(0-20)/dt

dt =20/(0.5*9.81)

dt=4.07 s

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