Expression of a variable from the formula + acceleration - practice problems
Number of problems found: 33
- FGH right triangle
Given a right triangle with leg lengths f and g, and hypotenuse h, if f = 7 cm and h = 11.2 cm, what is g? - Carol 2
Carol bought 5 snow hats and 2 pairs of gloves. The hats were priced at $12, and each pair of gloves cost the same amount. If the total amount of Carol's purchase is $135, what was the cost of 1 pair of gloves? - The ratio 13
The ratio of boys to girls in Mr. Hakeem's class is 6:4. If there are 18 boys, how many girls are there? - Native plants
In a garden, 5/6 of the area is filled with native plants. The native plants take up 107/4 m². Let g represent the total area of the garden. Find g = total area of the garden. - Horizontal 83148
The bend has a radius of r = 100 m and is inclined at an angle of 20° to the horizontal plane (= tilt angle). What is the safe (the "best") speed to go through this curve? Sketch the picture regarding NIVS, mark the forces, and calculate. - Braking 83146
A car of mass m=1t moves at a speed v0=54 km/h. What braking force must be exerted to bring the car to a stop in 10 seconds, and how far will the car travel in this time? - Function: 83053
The inverse function to the function f(x) = √(x-3) for x ≥ 3 is the function: - Acceleration 79354
A safe jump is considered to be one in which a person hits the ground at a maximum speed of 8m/s. Determine the maximum height from which jumping and landing on the moon is safe. The acceleration on the earth is g= 10 ms-2, and the acceleration on the moo - A particle 2
If the motion of a particle is described by the relation a(t) = 7t³ + 2 m/s², and the initial velocity of the motion is zero when t = 0 and the distance is 2m, t = 0.5s. Determine the velocity and displacement when t = 10s. - At what
At what speed did the motorist drive when he reacted by noticing the obstacle by 0.8 s; the magnitude of the opposite acceleration during braking was 6.5 m/s², and the car ran to a stopped track 35 m? - The satellite
The satellite orbiting the Earth at an altitude of 800 km has a speed of 7.46 km/s. How long would it have to move from the start to the orbit to reach this speed if it evenly accelerated its motion in a straight line? What is the acceleration of satellit - Coefficient 45821
What is the smallest radius a turn must-have for a car to enter safely without exceeding a speed of 50 km / h? The coefficient of shear friction between the tires and the surface is 0.4. - The car
The car weight 1280 kg and increased its speed from 7.3 m/s to 63 km/h on a track of 37.2 m. What force did the car engine have to exert? - Acceleration 43881
I have specified that the vehicle has an acceleration of 2 m/s², and I need to find out how many meters it will travel if it reaches 64km/h and also states how long it takes for the vehicle to travel every one meter. - Acceleration 43741
The tram starts with a constant acceleration of 0.3 m/s2. How long will it take to cover the tenth meter of its track? - The body
The body slides down an inclined plane, forming an angle α = π / 4 = 45° under the action of a horizontal plane under the effect of friction forces with acceleration a = 2.4 m/s². At what angle β must the plane be inclined so that the body slides on it af - Constant Angular Acceleration
The particle began to move from rest along a circle with a constant angular acceleration. After five cycles (n = 5), its angular velocity reached the value ω = 12 rad/s. Calculate the magnitude of the angular acceleration ε of this motion and the time int - The projectile
The projectile was fired horizontally from a height of h = 25 meters above the ground at a speed of v0 = 250 m/s. Find the range and flight time of the projectile. - Up and down motion
We throw the body from a height h = 5 m above the Earth vertically upwards v0 = 10 m/s. How long before we let the second body fall freely from the same height to hit the Earth simultaneously? - Skid friction
Find the smallest coefficient of skid friction between the car tires and the road so that the car can drive at a 200 m radius at 108 km/h and does not skid.
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