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Physics - Mechanics - Problems with Solutions and Tutorials

mechanics, kinematics
Your car starts from rest and accelerates to 60 miles per hour in 6 seconds. How far did your car travel in meters? How about in feet?

Answer: d = 80.5m = 264 ft

Solver Input: vi=0,vf=60mi/h,t=6,d=?,d=?ft

Tutorial video:
mechanics, projectiles
A projectile is fired with an angle of 45 degrees above the horizontal at a speed of 15m/s. If the projectile lands 2 m above its starting position, how far did the projectile travel? How about if it landed at the same level it started off at? What is the maximum height the projectile achieves?

Answer: at dy=2, dx= 20.7. At dy=0, dx=22.9. dy at maximum (when vfy=0) is 5.7 m

Solver Input: theta_vi=45,vi=15,dy=2, dx=?

Tutorial video:
mechanics, force
Neo applies a constant force to a 20g bullet travelling at 500m/s, and stops it in 1 millisecond. Find the force.

Answer: F_applied = -10000N

Solver Input: vi=500,m=20g,t=1ms,F_applied=?,vf=0

Tutorial video:
mechanics, slopes
A 20kg block accelerates down an inclined slope of 30 degrees at a rate of 2.4 m/s^2, what is the kinetic coefficient of the slope's surface?

Answer: uk = 0.29

Solver Input: theta_slope=30,m=20,a=-2.4,uk=?

Tutorial video:
mechanics, slopes
You push horizontally (not along the slope) on a 25 kg mass up a slope of 40 degrees with 500 N. The slope's surface has a coefficient of friction of 0.41. What is the resulting acceleration of the mass?

Answer: a = 0.66

Solver Input: F_applied_x=500,m=25,theta_slope=40,uk=0.41,a=?

Tutorial video:
mechanics, slopes
A 200 pound man sits on a slide with a 45 degree angle of incline. The slide has an 0.3 coefficient of friction. How fast will he accelerate?

Answer: a=-4.86m/s^2 (negative because he's sliding down the slope)

Solver Input: theta_slope=45,m=200lb,uk=0.3,a=?

Tutorial video:
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mechanics, force
A rope pulls a 20kg sled across ice. The rope makes an angle of 45 degrees to the ground, and the tension in the rope is 100 Newton. What is the acceleration of the sled?

Answer: ax = 3.54m/s^2

Solver Input: m=20,theta_F_applied=45,F_applied=100,ax=?

Tutorial video:
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mechanics, energy
You push on a block with 135 Newton of force through a distance of 246 meters. How much work did you perform?

Answer: W = 33210

Solver Input: F_applied=135,d=246,W=?

Tutorial video:
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mechanics, energy
You pull on a box with 135 Newton using a rope that makes an angle of 45 degrees with the horizontal. How much work did you do if you pulled the box for 246 meters?

Answer: W = 23483 J

Solver Input: F_applied=135,d=246,theta_F_applied_d=45,W=?

Tutorial video:
Click here to see tutorial
mechanics, energy
A one Ton car can accelerate from 0 to 60 mph in 6 seconds. How much horsepower does the car have?

Answer: W = 59953 W = 80 hp

Solver Input: m=1tonne,P=?hp,vi=0,vf=60mph,t=6

Tutorial video:
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mechanics, gravity
What is the gravitational attraction between two 400 pound sumo wrestlers standing 1 meter apart?

Answer: 0.0000022 N

Solver Input: Fg=?,m=400lb,M=400lb,r=1

Tutorial video:
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mechanics, gravity
What is the gravitational force on a 400 pound sumo wrestler sky diving at a height of 15000 feet? The mass of the earth is 5.9742e+24 kg, and the radius of the earth is 6378.1 km.

Answer: 1775 N

Solver Input: Fg=?,m=400lb,h=15000ft,M=5.9742e24,r=6378.1km

Tutorial video:
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mechanics, gravity
Satellites orbit the earth at a height of 38500 km. What is the speed of the orbiting satellite? The mass of the earth is 5.9742e+24 kg, the radius of the earth is 6378.1 km.

Answer: 2980 m/s

Solver Input: h=38500km,v=?,M=5.9742e24,r=6378.1km

Tutorial video:
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mechanics, angular
Your CPU fan turns at 3000 rpm, and has a radius of 3 cm. How fast are the blades moving?

Answer: 9.42 m/s

Solver Input: w=3000rpm,r=3cm,v=?

Tutorial video:
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mechanics, angular
It's getting hot. Your CPU fan increases its angular speed uniformly from 3000 to 4000 rpm in 1 second. How many turns did the fan make during this time?

Answer: 58 revolutions

Solver Input: wi=3000rpm,wf=4000rpm,t=1,theta_displaced=?rev

Tutorial video:
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mechanics, projectiles
A ball is thrown horizontally off a 100 feet cliff at 15 m/s. How far did the ball travel before hitting the ground?

Note: in the tutorial I accidentally put dy=100ft. However, dy=-100ft. Remember, up is positive, down is negative. Falling down a cliff makes dy negative. Luckily, the program was able to fix my mistake. However, you shouldn't rely on the program fixing your input mistakes, it doesn't always work.


Answer: dx = 37.4m

Solver Input: dy=-100ft,vix=15,dx=?ft

Tutorial video:
Click here to see tutorial