SAT Physics Work, Energy, Power, Momentum, Conservation Laws

1. An object moves 25m with a constant speed v, as shown in the figure below while a force F = 20N is exerted on the object. What is the work done by the force F?

a) -500J
b) -250J
c) 0J
d) 250J
e) 500J
2. The graph above plots the force exerted on a block of mass m against the displacement of the block. What is the work done by the force in moving the box from d = 0 to d = 6?

a) 2J
b) 5J
c) 8J
d) 10J
e) 15J
3. Two forces push simultaneously a stationary 2kg box in opposite directions: F1 acts from left to right and does 150J of work on the box while F2 acts from right to left and does 50J of work on the box. What is the velocity of the box after the work has been done on it?
a) 5m/s
b) 7m/s
c) 10m/s
d) 12m/s
e) 15m/s
4. A soccer ball is kicked vertically from the ground level with a speed of 20m/s. At what height is the gravitational potential energy of the ball maximum?
a) 5m
b) 10m
c) 15m
d) 20m
e) 25m
5. Two billiard balls move on a frictionless surface with speeds v and v/2, as shown in the figure below. Both of these balls have the same mass, and the collision is perfectly elastic. What is the sum of the velocities of the two balls after the collision?

a) v/2
b) v
c) 3v/2
d) 2v
e) 5v/2
6. A shopping cart weighing 12kg moves with a speed of 5m/s. A 3kg food container falls in the shopping cart. What is the speed of the shopping cart after the container fall?
a) 1m/s
b) 2m/s
c) 3m/s
d) 4m/s
e) 5m/s

Solutions:
Question #1: b
Question #2: d
Question #3: c
Question #4: d
Question #5: c
Question #6: d

SAT Physics Dynamics Practice Test

1. A particle is moving with a constant velocity, v. One or two forces are applied to the particle, as shown in the figures below. In which of the cases below, the forces applied do not change the speed of the particle?

2. An object of mass m = 20kg is pushed by four forces: east by a 10N force, west by a 30N force, south by a 20N force and north by a 20N force, What is the magnitude of the acceleration of the object?
a) .5m/s²
b) 1m/s²
c) 2m/s²
d) 10m/s²
e) 15m/s²
3. Two forces F₁ and F₂ act on a block of mass m = 5kg, as shown in the figure below. What is the acceleration of the block if the friction between the surface and the block is negligible?

a) .5m/s²
b) 1m/s²
c) 2m/s²
d) 5m/s²
e) 10m/s²
4. Two forces F₁ and F₂ act on a particle as shown in the figure below. What is the orientation of the acceleration of the particle?

a) same orientation as F₁
b) same orientation as F₂
c) same orientation as the x axis
d) same orientation as the y axis
e) same orientation as the negative -x axis
5. In the figure below, F = 10N, the mass of the block is m = 2kg and the block decelerates with 5m/s². What is the coefficient of kinetic friction between the block shown below and the surface of contact?

a) .1
b) .22
c) .33
d) .45
e) .6
6. Two blocks of masses m1 and m2 sit on the same surface. Equal forces, F₁ = F₂ = F are applied to the blocks, F₁ to the block of mass m₁ and F₂ to the block of mass m₂. If block m1 does not move and block m2 is accelerating, and the coefficients of static friction are μ_s1 and μ_s2, select the inequality that must be correct:
a) μ_s1m₁g ≤ F ≤ μ_s2m₂g
b) μ_s2m₂g ≤ F ≤ μ_s1m₁g
c) μ_s1m₁g ≤ F ≤ μ_s2m₂g
d) μ_s2m₂g ≤ F ≤ μ_s1m₁g
e) μ_s1m₁ ≤ F ≤ μ_s2m₂
7. A block of mass m = 5kg slides down the inclined plane from the figure below. If the coefficient of dynamic friction is .5, what is the acceleration of the block?

a) .375m/s²
b) .5m/s²
c) .525m/s²
d) .675m/s²
e) .75m/s²
8. Two blocks of masses m and M slide to the left with a constant speed v as show in the figure below. Which of the following relations must be true? The pulley system is frictionless.

a) M·cosα = m·cosβ
b) M·sinα = m·sinβ
c) M·cosβ = m·cosα
d) M = m
e) M·sinβ = m·sinα
9. The figure below represents a pulley system where masses m = 5kg and M = 10kg are connected by a rope over a massless and frictionless pulley. If the system moves with an acceleration of 1m/s², what is the value of the coefficient of kinetic friction between the block of mass M and table?

a) .2
b) .35
c) .45
d) .5
e) .75
10. An object of mass 4kg is attached to a spring. The equilibrium position of the object is .4m from the point where the spring exerts no force on the object. What is the spring constant, k?

a) 20N/m
b) 25N/m
c) 45N/m
d) 50N/m
e) 100N/m

Solutions:
Question #1: d
Question #2: b
Question #3: d
Question #4: d
Question #5: c
Question #6: d
Question #7: d
Question #8: a
Question #9: b
Question #10: e

SAT Physics: Newton’s Laws Practice Test

1. Two point charges of charge +Q are placed as shown below. At what point will a negative charge experience a force toward the bottom of the page?

a) A
b) B
c) C
d) D
e) E
2. Four point charges are placed in the corners of a square, as shown in the figure below. If q_b = 10^-9C, q_c = -10^-9C and q_d = 10^-9C, and the magnitude of the electric forces on q_c is 0 N, which of the statements below is true?

a) q_c > 10^-9C
b) 0 < q_c < 10^-9C
c) q_c = 0C
d) -10^-9C < q_c < 0C
e) q_c < -10^-9C
3. The magnitude of the electric field generated by a charge q at a distance d1 from the charge is E1. What is the magnitude of the electric field generated by the charge at a distance d2 from the charge?
a) E1
b) E1·(d₂²/d₁²)
c) E1·(d₁²/d₂²)
d) E1·(d₁/d₂))
e) E1·(d₂/d₁))
4. What is the capacitance between the points A and B if C₁ = C₂ = C₃ = 10^-6F?

5. A DC voltage source is connected to two resistors in series, as shown in the figure below. What is the ratio between the power dissipation of resistor R₁ and the power dissipation of resistor R₂?

6. A copper wire of length l₁ = 6 m and cross-sectional area of A₁ = 4 mm² has the same resistance as another copper wire of length l₂ = 18m. What is the ratio between the masses of the two wires, m₂/m₁?
a) 9
b) 3
c) 1
d) 1/9
e) 1/3
7. A particle with a positive charge of q moves with a speed v and passes through a magnetic field B parallel with the speed v. What is the magnitude of the magnetic force on the particle?

a) F = qvB
b) F = -qvB
c) F = 0
d) F = qvB/2
e) F = -qvB/2
8. In the figure below, a magnetic field of .01 T is applied locally to a wire carrying a current of intensity I = 10A. What is the magnitude of the magnetic force applied to the wire?

a) F = .3N
b) F = .4N
c) F = .5N
d) F = 1N
e) F = 3N
9. Three parallel long straight wires carry currents as shown in the picture below. If the currents in the wires #1 and #2 are I = 5A, and the magnetic force on wire #1 is equal to 0A, what is the current in wire #3?

a) I₃ = 5A
b) I₃ = 10A
c) I₃ = 15A
d) I₃ = 20A
e) I₃ = 25A
10. Two metallic bars slide along metallic rails at speeds v₁ = .1m/s and v₂ = .2m/s as shown below. The bar and the rails are situated in a magnetic field of 4T. What is the induced voltage in the bar and rails?

a) 50mV
b) 60mV
c) 100mV
d) 120mV
e) 150mV

Solutions:
Question #1: b
Question #2: e
Question #3: c
Question #4: c
Question #5: d
Question #6: a
Question #7: c
Question #8: b
Question #9: d
Question #10: d

SAT Physics: Kinematics practice test

1. A graduation hat is thrown vertically with a speed of 5m/s. How long does it take the hat to reach maximum height?
a) t = .2s
b) t = .5s
c) t = .8s
d) t = 1s
e) t = 2s
2. A soccer ball is kicked with an horizontal speed v = 10m/s from the height h = 20m, as shown in the figure below. Calculate the time passed from the moment the ball has an horizontal speed until the moment it touches the ground.

a) t = .2s
b) t = .5s
c) t = .8s
d) t = 1s
e) t = 2s
3. Calculate distance d from the problem above.
a) d = 10m
b) d = 15m
c) d = 20m
d) d = 25m
e) d = 30m
4. The movement of a particle along the axis x is characterized by the graph below. What is the speed of the particle at t = 3s?

a) v = 0m/s
b) v = 1m/s
c) v = -1m/s
d) v = 2m/s
e) v = -2m/s
5. A car travels a distance d with an average speed v1. The velocity of the car during this trip is v2 and the maximum instantaneous speed of the trip is v3. Which of the following statements must be true?
a) v2 < v1 ≤ v3
b) v2 ≤ v1 ≤ v3
c) v1 ≤ v2 ≤ v3
d) v3 ≤ v1 ≤ v2
6. Calculate the displacement between t = 2s and t = 5s of an object that moves along an axis and has the speed characterized below.

a) d = .5m
b) d = 1m
c) d = 1.5m
d) d = 2m
e) d = 2.5m

7.The graph above shows the acceleration of a particle. At t = 0s, the speed of the particle is 1m/s. What is the speed of the particle at t = 4s?

a) 6m/s
b) 10m/s
c) 11m/s
d) 12m/s
e) 15m/s

Solutions:
Question #1: b
Question #2: e
Question #3: c
Question #4: e
Question #5: b
Question #6: c
Question #7: c

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