2D Dynamics Calculation Review

For the following problems, consider the following :
1. These experiments take place on Earth (g = 9.8 m/s^2.

2. There is 0 Air Resistance
3. Each pulley is massless so the tension throughout a string is the same.

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NGSS.HS-PS2-1

NGSS.HS-PS2-4

Consider a box sitting on a rough, flat surface with a mass of m. The box is being pulled with a force of T. The coefficient of static friction is μ_s and the coefficient of kinetic friction is μ_k . What is the acceleration of the block?
m = 2.5 kg
T = 35 N
μ_s = 0.5
μ_k = 0.4

Round to 4 sig figs, no units

Tags

NGSS.HS-PS2-1

Consider a box sitting on a rough, flat surface with a mass of m. The box is being pulled with a force of T. The coefficient of static friction is μ_s and the coefficient of kinetic friction is μ_k . What is the acceleration of the block?
m = 2.5 kg
T = 11.5 N
μ_s = 0.5
μ_k = 0.4
Round to 1 sig fig, no units

Tags

NGSS.HS-PS2-1

Consider a box sitting on a rough, flat surface with a mass of m. The box is being pulled with a force of T. The coefficient of static friction is μ_s and the coefficient of kinetic friction is μ_k . What is the acceleration of the block?
m = 4.2 kg
T = 22 N
μ_s = 0.5
μ_k = 0.4
Round to 3 sig figs, no units

Tags

NGSS.HS-PS2-1

Consider a box sitting on a rough, flat surface with a mass of m. The box is being pulled with a force of T at an angle of θ. The coefficient of static friction is μ_s and the coefficient of kinetic friction is μ_k . What is the acceleration of the block?
m = 4.2 kg
T = 22 N
μ_s = 0.5
μ_k = 0.4

θ = 36 degrees
Round to 3 sig figs, no units

Tags

NGSS.HS-PS2-1

Consider a box sitting on a rough, flat surface with a mass of m. The box is being pulled with a force of T at an angle of θ. The coefficient of static friction is μ_s and the coefficient of kinetic friction is μ_k . What is the acceleration of the block?
m = 4.2 kg
T = 18.5 N
μ_s = 0.5
μ_k = 0.4

θ = 36 degrees
Round to 1 sig figs, no units

Tags

NGSS.HS-PS2-1

Consider a box sitting on a rough, flat surface with a mass of m. The box is being pulled with a force of T at an angle of θ. The coefficient of static friction is μ_s and the coefficient of kinetic friction is μ_k . What is the acceleration of the block?
m = 4.2 kg
T = 41.5 N
μ_s = 0.9
μ_k = 0.5

θ = 36 degrees
Round to 1 sig figs, no units

Tags

NGSS.HS-PS2-1

Consider a box sitting on a rough, flat surface with a mass of m. The box is being pulled with a force of T at an angle of θ. The coefficient of static friction is μ_s and the coefficient of kinetic friction is μ_k . What is the acceleration of the block?
m = 4 kg
T = 65.5 N
μ_s = 1.4
μ_k = 0.5

θ = 10 degrees
Round to 4 sig figs, no units

Tags

NGSS.HS-PS2-1

Consider a box placed on a rough, inclined surface with a mass of m. The angle of the incline is θ. The coefficient of static friction is μ_s and the coefficient of kinetic friction is μ_k . What is the acceleration of the block if it is accelerating? If not, input 0.
m = 5 kg
μ_s = 0.33
μ_k = 0.16

θ = 20 degrees
Round to 4 sig figs, no units

Tags

NGSS.HS-PS2-1

Consider a box placed on a rough, inclined surface with a mass of m. The angle of the incline is θ. The coefficient of static friction is μ_s and the coefficient of kinetic friction is μ_k . What is the acceleration of the block if it is accelerating? If not, input 0.
m = 2.3 kg
μ_s = 0.17
μ_k = 0.14

θ = 20 degrees
Round to 4 sig figs, no units

Tags

NGSS.HS-PS2-1