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The Drawing Shows Two Planes Each About To Drop An Empty Fuel

PHY 131: Tutorial Problems

Tutorial 5: 16 20 March 2020

(A) A skateboarder shoots off a ramp with a velocity of 6.6 m/s, directed at an angle of 58° above the

horizontal. The end of the ramp is 1.2 m above the ground. Let the x axis be parallel to the ground, the +y

direction be vertically upward, and take as the origin the point on the ground directly below the top of the

ramp.

(a) Calculate how high above the ground is the highest point that the skateboarder reaches.

(b) When the skateboarder reaches the highest point, calculate how far is this point horizontally from

the end of the ramp

[Answer: (a) +2.8 m above the ground, and (b) 2 m]

(B) A golfer hits a shot to a green that is elevated 3.0 m above the point where the ball is struck. The ball

leaves the club at a speed of 14.0 m/s at an angle of 40.0° above the horizontal. It rises to its maximum

height and then falls down to the green. Ignoring air resistance, calculate the speed of the ball just before

it lands.

[Answer: 11.7 m/s ]

(C) The drawing shows two planes each about to drop an empty fuel tank. At the moment of release each

plane has the same speed of 135 m/s, and each tank is at the same

height of 2.00 km above the ground. Although the speeds are the

same, the velocities are different at the instant of release, because

one plane is flying at an angle of 15.0° above the horizontal and the

other is flying at an angle of 15.0° below the horizontal. Calculate

the magnitude and direction of the velocity with which the fuel tank

hits the ground if it is from (a) plane A and (b) plane B. In each

part, give the directional angles with respect to the horizontal.

[Answer: (a) 239 m/s at an angle of 57.1 above the horizontal,

and (b) 239 m/s at an angle of 57.1 above the horizontal]

(D) A ball is thrown upward at a speed v0 at an angle of 52° above the horizontal. It reaches a maximum height

of 7.5 m. Calculate how high would this ball go if it were thrown straight upward at speed v 0.

[Answer: 12 m]

The Drawing Shows Two Planes Each About To Drop An Empty Fuel

Source: https://www.studocu.com/en-za/document/university-of-pretoria/physics-for-biology-students/tutorial-5-students/8089414

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