1). You shoot a basketball from the 3-point line towards the basketball net that
ID: 1785210 • Letter: 1
Question
1). You shoot a basketball from the 3-point line towards the basketball net that is 7.239 m i away and 1.372 m j above the height of your hands when you release the ball. If you give the ball an initial speed of 9.00 m/s at an angle of 50.0° above the horizontal, does the basketball go in the net? If yes, show that it does; if no, show how far off it is.
2) The new Ford Hooke is a car powered by a spring (k = 106 N/m) that is 4.2 m long (the car’s length) and 2.1 m when fully compressed. The inertia is m = 500 kg for you and the car. How many times can this car accelerate from rest to 20 m/s on a full compression of the spring? Assume that there is no air resistance and no energy is converted to thermal energy while driving.
3)A person (inertia = mp) skis down a slippery (assume zero friction) slope from an altitude of 100 m. When she reaches the bottom of the slope (altitude = 0 m), the ground becomes horizontal and rough, with a coefficient of kinetic friction k = 0.25. How far across this rough ground does she travel before stopping?
Explanation / Answer
in horizontal,
vx = 9 cos50
time takento reach the net = 7.239 / 9 cos50
= 1.2513 sec
in vertical,
y = v0y t + ay t^2 / 2
y = (9 sin50)(1.2513) - (9.81)(1.2513^2)/2
y = 0.9469 m
so it will not go into net.
how far off = 1.372 - 0.9469 = 0.425 m ......Ans
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