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A force of 15 N is applied to an object, causing it to accelerate at 3 m/s^2. Find its mass.
m = F/a = 15/3 = 5 kg
If an object falls freely for 5 seconds, how far does it fall?
s = 1/2 x 9.8 x 5^2 = 122.5 m
A wave has a frequency of 50 Hz and a wavelength of 4 m. What is its speed?
v = frequency x wavelength = 50 x 4 = 200 m/s
A light bulb uses 60 W of power for 2 hours. How much energy does it consume?
E = P x t = 60 x 2 = 120 Wh
An object moves with a velocity of 20 m/s and accelerates at 2 m/s2 for 3 seconds. Find its final velocity.
v = v(0) + at = 20 + (2 x 3) = 26 m/s
Calculate the gravitational force on a 2 kg object on Earth (g = 9.8 m/s2)
F = mg = 2 x 9.8 = 19.6 N
A box is pushed with a force of 10N and moves 5 m. How much work is done?
W = F x d = 10 x 5 = 50 J
A car travels 120 km in 2 hours. What is its average speed?
60 km/h
What is the volume of 2 moles of gas at standard temperature and pressure?
44.8 L
How many grams of NaCl are in 0.5 moles?
29.25 g
What is the pH of a solution with a hydrogen ion concentration of 1 x 10^-3 M?
pH = -log(1 x 10^-3) = 3
How many atoms are there in 2 moles of oxygen gas (O2)? (Avogadro's number = 6.002 x 10^23)
2.41 x 10^24 atoms
If 5 g of NaCl is dissolved in 100 g of water, what is the mass percentage of NaCl in the solution?
4.76%
Balance the equation: H2 + O2 => H2O
2H2 + O2 => 2H2O
How many moles are in 36 g of H2O?
2
Calculate the molar mass of H2O.
18 g/mol
A square has an area of 49 cm2. Find its perimeter.
28
Find the perimeter of a rectangle with a length of 8 cm and a width of 5 cm.
26
A car travels 240 km in 4 hours. What is the average speed?
60 km/h
Solve for y: 3y - 8 = 2y + 5
13
A shop offers a 20% discount on a $50 item. What is the final price?
40
Find the area of a circle with a radius of 7 cm.
153.86 cm2
A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. Is it a right triangle?
Yes
Solve for x: 2x + 5 = 15
5