Download Honors Homework

Honors Homework
1.
A car traveling at a constant speed of 45.0 m/s passes a trooper hidden behind a billboard. One
second after the speeding car passes the billboard; the trooper sets out from the billboard to catch
it, accelerating at a constant rate of 3.00 m/s2. How long does it take her to overtake the car?
2.
A student throws a set of keys vertically upward to her friend, who is in a window 4.00 m above.
The keys are caught 1.50 s later by the friend’s outstretched hand. A) With what initial velocity
were the keys thrown? B) What was the velocity of the keys just before they were caught?
3.
Two people are pulling on a box as shown in the figure. Find a) the single force that is equivalent
to the two forces shown; b) the force that a third person would exert on the box to make the
resultant force equal to zero.
F2 = 80.0 N
75.0o
F1 = 120 N
60.0o
4.
A projectile is fired in such a way that its horizontal range is equal to three times its maximum
height. What is the angle of projection?
5.
Two blocks connected by a rope of negligible mass are being dragged by a horizontal force F.
Suppose that F = 68.0 N , m1 = 12.0 kg and m2 = 18.0 kg, and the coefficient of kinetic friction
between each block and the surface is 0.100. Determine the tension T and the magnitude of the
acceleration of the system.
T
M1
F
M2
6.
A sled of mass m is given a kick on a frozen pond. The kick imparts to it an initial speed of 2.00
m/s. The coefficient of kinetic friction between sled and ice is 0.100. Use energy considerations to
find the distance the sled moves before it stops.
7.
A proton collides elastically with another proton that is initially at rest. The incoming proton has
an initial speed of 3.5 x 105 m/s and makes a collision with the second proton. After the collision,
one proton moves off at an angle of 37.0 o to the original direction of motion and the second
deflects at an angle of  to the same axis. Find the final speeds of the two protons and the angle 
37.0o
