SPH4U
Review for the FINAL EXAM
1. A motorcycle is travelling horizontally at 18 m/s when it reaches the edge of a
63 m high cliff. At what velocity does the motorcycle hit the ground?
2. 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?
3. 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?
4. Dick kicks a soccer ball off the ground at an angle. The soccer ball rises to a
maximum height of 3.8 m before returning to the ground, 25 m directly in front of
Dick. At what velocity does Dick kick the soccer ball?
5.
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.
6.
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
7. A conical pendulum consists of a 0.50 kg ball attached to a string with a length of
75.0 cm. The ball travels at a constant speed in a circle, while the string makes an
angle of 32 with the vertical. What is the speed of the ball?
32
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.
A 19.0 kg curling stone is travelling at 3.0 m/s [N] along the smooth ice when it hits
an opponent’s stone that is at rest. (Both stones have the same mass.) The
opponent’s stone rolls off at a velocity of 1.8 m/s [N 22 W]. Determine the
percentage of kinetic energy lost during the collision and comment on how close
this collision is to being elastic.
10.
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
11. With what upward velocity must an object be launched from the Earth’s
surface, in order to reach a maximum height of 2500 km above the surface?
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
4.0 cm
S
17.
T
An alpha particle has a charge of 3.2 x 10-19 C 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?
22.
The electrons emitted from a surface illuminated by light of wavelength 460 nm
have a maximum speed of 4.2 x 105 m/s. Given that an electron has a mass of
9.11 x 10-31 kg, calculate the work function (in eV) of the surface material.
23.
When a certain metal is illuminated at 3.50 x 102 nm, the maximum kinetic energy
of the ejected electrons is 1.20 eV. Calculate the work function of the metal in eV.
24.
Calculate the wavelength of an alpha particle that is moving at 1.28 x 108 m/s.
25.
Calculate the momentum of a photon with a wavelength of 560 nm.
26.
A spaceship passes by you at a speed of 0.80 c, and you measure its
length to be 114m. What is its measured length when at rest?
27.
Michael and Anish are twins. On their 19th birthday, Anish leaves on a spaceship
and travels at 0.80 c. Anish returns to Earth on the day that Michael is celebrating
his 35th birthday. How old does Anish believe he is?
28.
An observer on a planet measures the length of a spaceship as 24m. If the person
on the spaceship measures its length to be 72m, then how fast does the spaceship
go past the planet?
1
2
3
4
5
6
7
8
9
10
11
12
13
14
39 m/s [ 63 to the ground]
13 m/s [N 18 W]
2.3 x 102 m
17 m/s [31 up from ground]
0.42 m/s2
0.43 m/s2 [up]
1.6 m/s
1.4 x 103 N
39% is lost
2.2 m
5.9 x 103 m/s
17 cm
8.7 x 103 m/s
6.4 x 10-13 C
15
16
17
18
19
20
21
22
23*
24
25
26
27
28
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
2.2 eV
2.35 eV
7.80 x 10-16 m
1.2 x 10-27 kgm/s
190 m
28
0.94 c