SPH4U
Review for the FINAL EXAM
1. A boat heads [N] at a speed of 12 m/s relative to the water. The water flows at a rate of 4.0 m/s [W] relative to the
shore. What is the velocity of the boat relative to the shore?
2. A cannonball is fired horizontally from a cannon at a speed of 45 m/s from the edge of a 125 m high cliff. How far
from the base of the cliff does the cannonball land on the level ground below?
3. A projectile launcher sends an object with an initial velocity of 1.1 x 103m/s [45 degrees above the horizontal] into
the air. The launch level is at the same level as the landing level.
a) calculate how long the object is airborne
b) determine its maximum range
c) determine the maximum height of the object.
4.
A woman pushes down on the handle of lawnmower with a force of 150 N. The handle makes an angle of 35
with the horizontal. The lawnmower has a mass of 15 kg. The coefficient of friction between the wheels and the
ground is 0.50. Find the magnitude of the acceleration of the lawnmower.
5.
A 5.0 kg block on a 33 incline is attached to a 2.0 kg block by a light string as shown below. The pulley is
frictionless, but there is a 0.10 coefficient of friction between the 5.0 kg block and the incline. Find the
acceleration of the 2.0 kg block.
5.0 kg
2.0 kg
33
6. You are operating a remote-controlled car around a circular path in an open field. The car is undergoing
centripetal acceleration of 33.8 m/s2. The radius of the car’s path is 125 m. Calculate the car’s speed.
7. A 35 kg child sits on a Ferris wheel that has a diameter of 22 m. The wheel rotates 3.5 times per minute.
a) what force does the seat exert on the child at the top of the ride?
b) what force does the seat exert on the child at the bottom of the ride?
8.
The force of gravity between two objects is 120 N. If the mass of one object is tripled and the distance between
their centres is halved, then find the
new force of gravity between them.
9.
Two freight trains have a completely inelastic collision at a track crossing. Engine 1 has a mass of 1.4 x 10 4 kg
and is initially travelling at 45 km/h [N]. Engine 2 has a mass of 1.5 x 104 kg and is initially travelling at 53 km/h
[W]. Calculate the final velocity.
10.
Two hockey pucks of equal mass approach each other. Puck 1 has an initial velocity of 20.0 m/s [S 45˚E], and
puck 2 has an initial velocity of 15 m/s [S 45˚ W]. After the collision, the first puck is moving at 10 m/s [S 45˚ W].
a) determine the final velocity of the second puck
b) is this collision elastic, perfectly inelastic, or (non-perfectly) inelastic? Explain your reasoning.
11. A 490 g dynamics cart is held at rest next to a Hooke’s Law spring that is compressed by 44.0 cm. The spring
has a force constant of 150 N/m. The cart is
released and travels along a horizontal surface; the surface is smooth
except for a
1.0 m rough patch where a 4.0 N force of friction acts. The cart then travels along
a frictionless
incline. What is the maximum height (h) reached by the cart, above
the horizontal surface?
h
rough patch
1.0 m
12. A 550 g ball is thrown down, at a speed of 3.0 m/s, from a height of 2.2 m above a
vertical spring of force constant 1.1 x 103 N/m. What will be the maximum compression
in the spring?
2.2 m
13.
Two electrons are held 2.0 m apart. If the electrons are released from rest, then how fast will they be travelling
when they are 5.0 m apart?
14.
Two particles are given identical charges. The force of electrostatic repulsion between them is 4.1 x 10-12 N
when they are separated by a distance of 3.0 cm. Find the charges.
15.
A 1200 kg satellite is orbiting Earth at an altitude of 2500 km. If the satellite has a stable circular orbit then what
is its period of rotation?
16.
The small spheres at S and T have charges of +8.0 C and 8.0 C, respectively. Find the net electric field at
point P .
P
N
E
3.0 cm
17.
4.0 cm
An alpha particle has Sa charge of 3.2 x 10-19 CT and mass 6.64 x 10-27 kg. The particle is moving perpendicular
to a magnetic field at a velocity of 2.5 x 106 m/s to the left. The particle experiences a force of 3.0 x 10-13 N out of
the page. What is the magnitude and direction of the magnetic field?
18.
Using monochromatic light, an interference pattern is generated on a screen 50.0 cm away from a single slit. The
width of the slit is 12 m. The third dark fringe is 6.0 cm from the centre of the central maximum. What is the
wavelength of the light used in nanometres?
19.
An interference pattern is generated on a screen 6.8 m away from a single slit. Monochromatic light with a
wavelength of 445 nm is used. A second-order minima occurs at 48 cm from the central axis. What is the width
of the slit?
20.
A student performing Young's Experiment measures a distance of 4.0 cm between the first and sixth nodal line
on a screen that is located 2.4 m from the slits. If laser light with a wavelength of 630 nm is used, then what is
the separation of the slits.
21.
A camera lens (n = 1.51) is coated with a thin film with a refractive index of 1.25. What should be the minimum
thickness of the film to minimize reflected light with a wavelength of 570 nm?
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13 m/s [N 18 W]
2.3 x 102 m
1.6 x 102s ; 1.2 x 102 km; 31 km
0.42 m/s2
0.43 m/s2 [up]
65 m/s
2.9 x 102 N; 3.9 x 102 N
1.4 x 103 N
9.7 m/s [N 52˚W]
21 m/s [S 31˚ E]; inelastic
2.2 m
12
13
14
15
16
17
18
19
20
21
17 cm
8.7 x 103 m/s
6.4 x 10-13 C
2.3 h
6.7 x 107 N/C [E 70S]
0.38 T [towards bottom of page]
480 nm
1.3 x 10-5 m
1.9 x 10-4 m
1.1 x 10-7 m