1) A ball is projected horizontally with speed 16.7 m/s from the top of a 18.1 m
ID: 581281 • Letter: 1
Question
1) A ball is projected horizontally with speed 16.7 m/s from the top of a 18.1 m high building. Neglecting drag, what is its horizontal distance (in m) from the bottom of the building when it hits the ground?
2) A driver in a car accelerating towards the right has an apparent weight with components 975 N pointing down and 609 N pointing towards the left. What is the magnitude of the acceleration of the car in m/s2?
3)An ideal spring with a spring constant of 1.9 N/cm and an equilibrium length of 24 cm hangs vertically from the ceiling. A 0.7 kg mass is attached to it. After all motion has damped out, what is the new length of the spring in cm?
4) Two packages are dropped from an airplane. A parachute can increase the cross sectional area of each packages by a factor of 96. The parachute on package 1 fails to open, and the terminal speed of package 1 is 18.9 m/s. The parachute on package 2 opens. What is the terminal speed of package 2 in m/s?
5) Which of the following observations about the frictional force is incorrect?
a) The magnitude of the force of kinetic friction is always proportional to the normal force.
b) The magnitude of the force of static friction is always proportional to the normal force.
c) The magnitude of the force of static friction is always proportional to the external applied force.
d) The direction of the force of kinetic friction is always opposite to the direction of the relative motion of the object with respect to the contact surface.
e) The direction of the force of static friction is always opposite to the direction of the impending motion of the object with respect to the contact surface.
f) All of the above statements are correct!
a) The magnitude of the force of kinetic friction is always proportional to the normal force.
b) The magnitude of the force of static friction is always proportional to the normal force.
c) The magnitude of the force of static friction is always proportional to the external applied force.
d) The direction of the force of kinetic friction is always opposite to the direction of the relative motion of the object with respect to the contact surface.
e) The direction of the force of static friction is always opposite to the direction of the impending motion of the object with respect to the contact surface.
f) All of the above statements are correct!
Explanation / Answer
1.
the time taken by the ball to reach reach ground is,
t = sqrt(2h/g) = sqrt(2 *18.1/9.8) = 1.92 s
the horizontal distance:
R = v*t = 16.7 * 1.92 = 32.09 m = 32.1 m
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